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The International Conference for Mathematics and Applications

(Trends and Development)

(ICMTD17) Silver Jubilee of ETMS

28 – 30 Dec. 2017

Organized By

The Egyptian Mathematical Society

Under the Patronage of His Excellency

Minister of Higher Education and Scientific Research

Under the Auspices of their Excellencies

Prof. Abdel-Wahab Ezzat

President of Ain-Shams University

Conference Chairman

Prof. Abdel-Shafy Fahmy Obada President of the Egyptian Mathematical Society

ABSTRACT BOOK

www.etms-eg.org

The International Conference on Mathematics, and Applications, 28 – 30 Dec. 2017, Cairo, Egypt.

Trends and Development ICMTD17, Organized By: The Egyptian Mathematical Society (ETMS),

Conference venue: Dar al-Diyafa, Ain Shams University, Cairo, Egypt.

08:00 08:15 08:30 08:45 09:00 09:15 09:30

09:45

10:00

10:15

10:30

10:45

11:00

11:15

11:30

11:45 12:00 12:15 12:30 12:45 01:00 01:15 01:30 01:45 02:00 02:15 02:30 02:45 03:00 03:15 03:30 03:45 04:00 04:15 04:30 04:45 05:00 05:15 05:30 05:45

06:

00

28/

12/

2017

. TH

U

Reception and

Registration

Opening Ceremony

Coffee Break Inauguration L

ecture P

rof. Mourad E

. H.

Ismail

Invited speaker

Eid H

. Doha

Lunch

+ Poster (1)

Invited speaks P

rof. Ahm

ed I. Z

ayed

Invited speaker P

rof. A. G

haleb Oral–Sec1

[MPH] HALL [A] (6)

Oral–Sec2 [STA] HALL [B] (5)

Oral–Sec3 [NAM] HALL [C] (5)

29

/12

/2017

.

FRI

Reception and Registration

Oral–Sec4 [MPH] HALL [A] (5) Invited speaker

P

rof. GA

O D

avid Yang

Invited speaker

Prof. A

. Heliel

Coffee Break

Lunch

+ Poster (2)

Invited speaker P

rof. A. F

acchini

Invited speaker P

rof. H. B

arakat Oral–Sec8

[MPH] HALL [A] (6)



Oral – Sec6 [NAM] HALL [C] (5)

Oral–Sec10 [DSA, CSC] HALL [C] (5+3)

Oral – Sec7 [ALG] HALL [D] (5)

Oral – Sec11 [ALG] HALL [D] (5)

30/

12/

2017

.SA

T

Reception and Registration

Oral – Sec12 [TGA] HALL [A] (5) Invited speaker

P

rof. S. Jafari Invited speaker

Prof. N

. Sweilam

Coffee Break

Invited speaker

Prof. M

. A.

Ram

adan

Invited speaker

Prof. S. Sakr

Lunch

+

Poster (3)

Invited speaker Prof. M

. Abdel-A

ty

Invited speaker

Prof. H

. Yehia

Oral–Sec15 [TGA] HALL [A] (6)

Closing Remarks

Oral – Sec13 [FUA] HALL [B] (4)

Oral–Sec16 [FUA] HALL [B] (4)

Oral – Sec14 [DEA] HALL [C] (5)

Oral–Sec17 [DEA] HALL [C] (4)

E-mail: [email protected] Web site: etms-eg.org

Mathematical Statistics. STA Mathematical Physics. MPH Algebra and applications. ALG Topology & Geometry and Applications TGA Computer Science. CSC Differential Equation and Applications. DEA Functional Analysis FUA Numerical Analysis Methods and Applications. NAM Dynamical Systems and Applications. DSA

Page 2 of 158

International Conference on Mathematics, Trends and Development ICMTD17 ,

Cairo, Egypt, 28 –30 Dec. 2017, Organized by: The Egyptian Mathematical Society

Plenary (POL) Speakers

• Prof. Mourad E. H. Ismail. Affiliation: Department of Mathematics University of Central Florida Orlando, Florida, USA. Web Page: http://www.math.ucf.edu/~ismail/

• Prof. Ahmed I. Zayed. Affiliation: Department of Mathematics, University of DePaul, Chicago, Illinois, USA. Web Page: http://math.depaul.edu/azayed/

• Prof. A. Facchini. Affiliation: University of Padova, Italy. E-mail: [email protected]

• Prof. S. Jafari. Affiliation: College of Vestsjaelland South, Slagelse, Denmark. E-mail: [email protected]

• Prof. GAO David Yang. Affiliation: Faculty of Science and Technology, Federation University, Australia. E-mail: [email protected]

Page 3 of 158

http://www.math.ucf.edu/~ismail/

http://math.depaul.edu/azayed/index.html

mailto:[email protected]



No. THU: 28-12-2017 Topic Speaker Chairpersons Place Start End

1 Reception and Registration 08:00 10:00

2 Opening Ceremony Main Hall 10:00 11:00

3 Coffee Break 11:00 12:00

4 Inauguration Lecture Prof. Mourad E. H. Ismail * Prof. A.-S. F. Obada Main Hall 12:00 12:45

5

Invited Speaker Sec01"Spectral solutions ofdifferential and differenceequations with polynomialcoefficients using classicalorthogonal polynomials"

Prof. Eid H. Doha * Prof. A.-S. F. ObadaProf. M. El-Naby Main Hall 12:45 01:15

6Sec Poster (01)+ Lunch

Hall 01:15 02:45

7 Invited Speaker Sec02 Prof. Ahmed I. Zayed * Prof. A. ZaabelProf. M. El-Naby Main Hall 02:45 03:30

8

Invited Speaker Sec03"A powerful method forsolving plane problems ofwave scattering in infinitechannels of finite depthoccupied by an inviscidfluid of constant density"

Prof. A. Ghaleb * Prof. A. ZaabelProf. M. El-Naby Main Hall 03:30 04:00

9

Oral - Sec01

MPH Prof. A. I. ZayedProf. A. Ghaleb Hall[A] 04:00 05:45

10

Oral - Sec02

STA Prof. M. MokhlisProf. Samia El-Arishey Hall[B] 04:00 05:45

11

Oral - Sec03

NAM Prof. E. H. DohaProf. A. Khalifa Hall[C] 04:00 05:45

International Conference on Mathematics,Trends and Development ICMTD17 , Cairo, Egypt, 28 –30 Dec. 2017, Organized by: The Egyptian Mathematical Society

Day One:

Page 4 of 158



Day Two:

No. FRI: 29-12-2017 Topic Speaker Chairpersons Place Start End


13 Oral - Sec04 MPH

Prof. M. Abdel-AtyProf. KH. S.Mekhimer

Hall[A] 08:45 10:15

14 Oral - Sec05 STA

Prof. M. M.MohieldinProf. M. A. W.Mahmnoud

Hall[B] 08:45 10:15

15 Oral - Sec06 NAM

Prof. H. N. IsmailProf. K. Raslan Hall[C] 08:45 10:15

16 Oral - Sec07 ALG

Prof. A. FacchiniProf. M. Asaad Hall[D] 08:45 10:15

17

Invited Speaker Sec04"Canonical Duality-Triality:A Breakthrough Theory andUnified Methodology forSolving ChallengingProblems in NonconvexAnalysis, GlobalOptimization, andComputationalMathematics."

Prof. GAO David Yang * Prof. M. AsaadProf. M. M. Ali

Main Hall 10:15 11:00

18 Invited Speaker Sec05 Prof. A. Heliel * Prof. M. Asaad

Prof. M. M. AliMain Hall 11:00 11:30



Hall 01:15 02:45

21 Invited Speaker Sec06 Prof. A. Facchini * Prof. M. H. Fahmy

Prof. A. HabibMain Hall 02:45 03:30

22 Invited Speaker Sec07 Prof. H. Barakat * Prof. M. H. Fahmy

Prof. A. HabibMain Hall 03:30 04:00

23 Oral - Sec08 MPH

Prof. M. A. HelalProf. N. Allam Hall[A] 04:00 05:45

24 Oral - Sec09 STA

Prof. H. BarakatProf. S. M. Negm Hall[B] 04:00 05:45

25 Oral - Sec10 DSA, CSC

Prof. G. MokhtarProf. E. Khalifa Hall[C] 04:00 06:00

26 Oral - Sec11 ALG

Prof. N. DeifProf. M. Sheded Hall[D] 04:00 05:45

Page 5 of 158

http://etms-eg.org/Logs/agendaread2.php?id=13









No. SAT: 30-12-2017 Topic Speaker Chairpersons Place Start End


28 Oral - Sec12 TGA

Prof. A. KandilProf. O. Tantwy Hall[A] 08:45 10:15

29 Oral - Sec13 FUA

Prof. I. GhalyProf. Entesarat El-Shobky

Hall[B] 08:45 10:15

30 Oral - Sec14 DEA

Prof. H. ElowedyProf. A. Abbas Hall[C] 08:45 10:15

31 Invited Speaker Sec08 Prof. S. Jafari * Prof. A. A. Allam

Prof. M. A. RamadnMain Hall 10:15 11:00

32 Invited Speaker Sec09 Prof. N. Sweilam * Prof. A. A. Allam

Prof. M. A. RamanMain Hall 11:00 11:30


34 Invited Speaker Sec10 Prof. M. A. Ramadan * Prof. A. M. El-Sayed

Prof. N. SweilamMain Hall 12:00 12:45

35 Invited Speaker Sec11 Prof. S. Sakr * Prof. A. M. El-Sayed

Prof. N. SweilamMain Hall 12:45 01:15


Hall 01:15 02:45

37 Invited Speaker Sec12 Prof. M. Abdel-Aty * Prof. A. -S. F. Obada

Prof. F. GhalebMain Hall 02:45 03:30

38 Invited Speaker Sec13 Prof. H. Yehia * Prof. A.-S. F. Obada

Prof. F. GhalebMain Hall 03:30 04:00

39 Oral - Sec15 TGA

Prof. S. JafariProf. A. Kozae Hall[A] 04:00 05:45

40 Oral - Sec16 FUA

Prof. A. S. Okb El-BabProf. N. Farid

Hall[B] 04:00 05:45

41 Oral - Sec17 DEA

Prof. Afaf ZagroudProf. M. El-Boray Hall[C] 04:00 05:45

42 Closing Remarks Prof. A.-S. F. Obada * Main Hall 05:45 06:00



Day Three:

Page 6 of 158








.:. Prof. Fathalla Rihan AE SAT: 30-12-2017 Hall[C] 04:00 04:15

.:. Prof. Nasser Metwally BH FRI: 29-12-2017 Hall[A] 08:45 09:00

.:. Dr. Berrehail Mounira DZ THU: 28-12-2017 Hall 01:15 02:45

.:. Prof. HAIOUR MOHAMED DZ THU: 28-12-2017 Hall 01:15 02:45

.:. Dr. REZZOUG Imad DZ SAT: 30-12-2017 Hall 01:15 02:45

.:. Dr. Hakima BOUHADJERA DZ SAT: 30-12-2017 Hall 01:15 02:45

.:. Dr. Manmath Lohgaonkar IN THU: 28-12-2017 Hall 01:15 02:45

.:. Dr. Hemant Umap IN FRI: 29-12-2017 Hall[B] 08:45 09:00

.:. Dr. Hazem Al-Mofleh JO THU: 28-12-2017 Hall[B] 04:45 05:00

.:. Dr. Hazem Al-Mofleh JO FRI: 29-12-2017 Hall[B] 09:30 09:45



Foreigner Participants

1

DEA - 9

AE

Oral - Sec17( 1 )

04:00 : 04:15

��

Department of Mathematical Sciences, College of Science, United Arab Emirates University, Al-Ain 15551,UAE

2

MPH - 10

BH

Oral - Sec04( 1 )

08:45 : 09:00

�� -��

Math. Dept., college of Science, P. O. Box 32038 Kingdom of Bahrain, University of Bahrain

3

MPH - 4

DZ

Sec Poster (01)( 2 )

01:15 : 02:45

��

2 Département des Sciences de la matière, Université de Bordj Bou Arreridj Bordj Bou Arreridj 43000,Algeria

4

NAM - 14

DZ


01:15 : 02:45

�∞–��

LANOS Laboratory, Department of Mathematics, Faculty of Sciences, Badji Mokhtar University, Annaba,Algeria

5

DEA - 8

DZ


01:15 : 02:45

��

OUM EL BOUAGHI UNIVERSITY. ALGERIA

6

FUA - 5

DZ


01:15 : 02:45

��

Laboratory of Applied Mathematics Badji Mokhtar-Annaba University P.O. Box 12, 23000 Annaba,Algeria

7

STA - 4

IN


01:15 : 02:45

�� -��

Shri Chhatrapati Shivaji College Shrigonda, India

8

STA - 9

IN

Oral - Sec05( 1 )

08:45 : 09:00

��

Yashavantrao Chavan Institute of Science, Satara.(M.S.), India.

9

STA - 6

JO

Oral - Sec02( 4 )

04:45 : 05:00

�� - �� :��

Tafila Technical University, Tafila 66110, Jordan

10

STA - 13

JO

Oral - Sec05( 4 )

09:30 : 09:45

��


Next Last

The Egyptian Mathematical Society,International Conference on Mathematics , Trends and Development ICMTD17,28 – 30 Dec. 2017, Cairo, Egypt.

The Conference will be held in Dar al-Diyafa, Ain Shams University, Cairo

The Journal of the Egyptian Mathematical Society: http://ees.elsevier.com/joems/

Facebook page http://www.facebook.com/etmseg

HomeTentative ConferenceProgramDownload Brochure.:: New Participant ::..:: Login Participant ::.Plenary SpeakersForeigner ParticipantsScientific CommitteePaper TemplateFeesLocationVisa and Travel Info.AccommodationSocial EventsFAQ...joems

The Journal of the Egyptian Mathematical Society:

http://ees.elsevier.com/joems/

The National Committee of Mathematics, (NCM)

[email protected].

Copyright © 2017, All rights reserved.

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http://etms-eg.org/?page=zsoc

http://etms-eg.org/?page=step

http://etms-eg.org/?page=joems


http://www.ncm-eg.org/

https://www.google.com/a/etms-eg.org/

.:. Mr. Titus Orwa KE FRI: 29-12-2017 Hall[C] 05:15 05:30

.:. Ms. Purity Ngina KE FRI: 29-12-2017 Hall[C] 05:45 06:00

.:. Dr. Mohammed Abdulhameed NG THU: 28-12-2017 Hall[A] 04:00 04:15

.:. Mr. Mohammed Salisu Chimo NG THU: 28-12-2017 Hall[A] 04:15 04:30

.:. Dr. Abdulsalam Ya'u Gital NG THU: 28-12-2017 Hall[A] 04:30 04:45

.:. Mr. Kabiru Muhammad NG THU: 28-12-2017 Hall[C] 04:00 04:15

.:. Mr. Abdurrahman Abdulhamid NG SAT: 30-12-2017 Hall[C] 08:45 09:00


.:. Mr. Sagir Mahmud Abdullahi NG THU: 28-12-2017 Hall[B] 04:30 04:45

.:. Prof. Gamal Elnagar US SAT: 30-12-2017 Hall[C] 09:00 09:15



Foreigner Participants

11

DSA - 6

KE

Oral - Sec10( 6 )

05:15 : 05:30

�� -��

Strathmore University

12

DSA - 5

KE

Oral - Sec10( 8 )

05:45 : 06:00

�� -��

Strathmore University, Kenya

13

MPH - 2

NG

Oral - Sec01( 1 )

04:00 : 04:15

�� -�� -�� -��

Federal Polytechnic Bauchi, Nigeria

14

MPH - 3

NG

Oral - Sec01( 2 )

04:15 : 04:30

�� -��


15

MPH - 6

NG

Oral - Sec01( 3 )

04:30 : 04:45

��

Abubakar Tafawa Balewa University Bauchi, Nigeria

16

NAM - 1

NG

Oral - Sec03( 1 )

04:00 : 04:15

��

Department of Statistics, Kano State Polytechnic, Kano Nigeria.

17

DEA - 2

NG

Oral - Sec14( 1 )

08:45 : 09:00

��

Department of Statistics, Kano State Polytechnic, P.M.B. 3401, Kano, Nigeria.

18

DEA - 5

NG

Oral - Sec14( 3 )

09:15 : 09:30

�� (�� ).


19

STA - 5

NG

Oral - Sec02( 3 )

04:30 : 04:45

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20

DEA - 4

US

Oral - Sec14( 2 )

09:00 : 09:15

��-�� :��

University of South Carolina

First Previous

The Egyptian Mathematical Society,International Conference on Mathematics , Trends and Development ICMTD17,28 – 30 Dec. 2017, Cairo, Egypt.

The Conference will be held in Dar al-Diyafa, Ain Shams University, Cairo

The Journal of the Egyptian Mathematical Society: http://ees.elsevier.com/joems/

Facebook page http://www.facebook.com/etmseg

HomeTentative ConferenceProgramDownload Brochure.:: New Participant ::..:: Login Participant ::.Plenary SpeakersForeigner ParticipantsScientific CommitteePaper TemplateFeesLocationVisa and Travel Info.AccommodationSocial EventsFAQ...joems

The Journal of the Egyptian Mathematical Society:


The National Committee of Mathematics, (NCM)

[email protected].

Copyright © 2017, All rights reserved.

Page 8 of 158






http://etms-eg.org/

http://etms-eg.org/?page=zwork

http://etms-eg.org/etms2012/ICMTD17.pdf

http://etms-eg.org/etms2012/logs/topics.php

http://etms-eg.org/etms2012/logs/signin.php

http://etms-eg.org/?page=zplen

http://etms-eg.org/?page=fg

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http://etms-eg.org/?page=zptem

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http://etms-eg.org/?page=zloc

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http://etms-eg.org/?page=zacc

http://etms-eg.org/?page=zsoc

http://etms-eg.org/?page=step

http://etms-eg.org/?page=joems


http://www.ncm-eg.org/

https://www.google.com/a/etms-eg.org/

Oral - Sec01 THU: 28-12-2017 Hall[A] 04:00 05:45 6 Paper(s)

.:. Dr. Mohammed Abdulhameed NG THU: 28-12-2017 Hall[A] 04:00 04:15

Author(s):.Mohammed Abdulhameed

.:. Mr. Mohammed Salisu Chimo NG THU: 28-12-2017 Hall[A] 04:15 04:30

Author(s):.Mohammed Salisu Chimo Mohammed Abdulhameed Sagir Mahmud Abdullahi

.:. Dr. Abdulsalam Ya'u Gital NG THU: 28-12-2017 Hall[A] 04:30 04:45

Author(s):.Dr. Abdulsalam Ya'u Gital

.:. Assoc.Prof. Abdallah A. Nahla EG THU: 28-12-2017 Hall[A] 04:45 05:00

Author(s):.Abdallah A. Nahla M.M.A. Ahmed

.:. Dr. Sara Abdelsalam EG THU: 28-12-2017 Hall[A] 05:00 05:15

Author(s):.Sara Abdelsalam Muhammed Bhatti

.:. Prof. Mohamed Abu-shady EG THU: 28-12-2017 Hall[A] 05:15 05:30

Author(s):.M. Abu-Shady T. A. Abdel-Karim E. M. Khokha


Cairo, Egypt, 28 – 30 Dec. 2017, Organized by The Egyptian Mathematical Society

Chairman(s):

1

MPH - 2NG

Oral - Sec01( 1 )04:00 : 04:15

�� -�� -�� -��

2

MPH - 3NG

Oral - Sec01( 2 )04:15 : 04:30

�� -��

3

MPH - 6NG

Oral - Sec01( 3 )04:30 : 04:45

��

4

MPH - 7EG

Oral - Sec01( 4 )04:45 : 05:00

�� -�� (1,1)��

5

MPH - 8EG

Oral - Sec01( 5 )05:00 : 05:15

� �� 2 ��

6

MPH - 9EG

Oral - Sec01( 6 )05:15 : 05:30

�� -��

Page 9 of 158

Oral - Sec02 THU: 28-12-2017 Hall[B] 04:00 05:45 5 Paper(s)

.:. Prof. Ahmed Elsayed EG THU: 28-12-2017 Hall[B] 04:00 04:15

Author(s):.Ahmed Mohamed Mohamed El-Sayed

.:. Prof. Ahmed Abd Ellah EG THU: 28-12-2017 Hall[B] 04:15 04:30

Author(s):.Prof. A. H. Abd Ellah

.:. Mr. Sagir Mahmud Abdullahi NG THU: 28-12-2017 Hall[B] 04:30 04:45

Author(s):.Hamisu Idi Adamu Abubakar

.:. Dr. Hazem Al-Mofleh JO THU: 28-12-2017 Hall[B] 04:45 05:00

Author(s):.Hazem Al-Mofleh

.:. Dr. Mahmoud Ragab EG THU: 28-12-2017 Hall[B] 05:00 05:15

Author(s):.Mahmoud Ragab



Chairman(s):

1

STA - 2EG

Oral - Sec02( 1 )04:00 : 04:15

��

2

STA - 3EG

Oral - Sec02( 2 )04:15 : 04:30

��

3

STA - 5NG

Oral - Sec02( 3 )04:30 : 04:45

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4

STA - 6JO

Oral - Sec02( 4 )04:45 : 05:00

�� - �� : ��

5

STA - 8EG

Oral - Sec02( 5 )05:00 : 05:15

�� : ��

Page 10 of 158

Oral - Sec03 THU: 28-12-2017 Hall[C] 04:00 05:45 4 Paper(s)

.:. Mr. Kabiru Muhammad NG THU: 28-12-2017 Hall[C] 04:00 04:15

Author(s):.Kabiru Muhammad Abdurrahman Abdulhamid

.:. Dr. Tamer Kasem EG THU: 28-12-2017 Hall[C] 04:15 04:30

Author(s):.Tamer Heshmat Mohamed Aly Kasem

.:. Prof. Nasser Sweilam EG THU: 28-12-2017 Hall[C] 04:30 04:45

Author(s):.Nasser Hassan Sweilam Seham AL-Mekhlai Anan O. Albalawi

.:. Prof. Waleed Abd-Elhameed EG THU: 28-12-2017 Hall[C] 04:45 05:00

Author(s):.Youssri H. Youssri Waleed M. Abd-Elhameed



Chairman(s):

1

NAM - 1NG

Oral - Sec03( 1 )04:00 : 04:15

��

2

NAM - 2EG

Oral - Sec03( 2 )04:15 : 04:30

��

3

NAM - 3EG

Oral - Sec03( 3 )04:30 : 04:45

��

4

NAM - 4EG

Oral - Sec03( 4 )04:45 : 05:00

��

Page 11 of 158

Oral - Sec04 FRI: 29-12-2017 Hall[A] 08:45 10:15 5 Paper(s)

.:. Prof. Nasser Metwally BH FRI: 29-12-2017 Hall[A] 08:45 09:00

Author(s):.Nasser Metwally

.:. Assoc.Prof. A. Mahdy EG FRI: 29-12-2017 Hall[A] 09:00 09:15

Author(s):.A. Mahdy

.:. Dr. Tarek El-shahat EG FRI: 29-12-2017 Hall[A] 09:15 09:30

Author(s):.Tarek M. Elshahat

.:. Dr. Ali Mohammed Moawad EG FRI: 29-12-2017 Hall[A] 09:30 09:45

Author(s):.Kh. S. Mekheimer R. E. Abo-Elkhair A. M. A. Moawad

.:. Dr. shaimaa fathey EG FRI: 29-12-2017 Hall[A] 09:45 10:00

Author(s):.Shaimaa F. Ramadan



Chairman(s):

1

MPH - 10BH

Oral - Sec04( 1 )08:45 : 09:00

�� -��

2

MPH - 11EG

Oral - Sec04( 2 )09:00 : 09:15

��'� ��

3

MPH - 12EG

Oral - Sec04( 3 )09:15 : 09:30

�� -�� -�� -�� -��

4

MPH - 13EG

Oral - Sec04( 4 )09:30 : 09:45

��-�� -�� -��

5

MPH - 15EG

Oral - Sec04( 5 )09:45 : 10:00

�� , ��

Page 12 of 158

Oral - Sec05 FRI: 29-12-2017 Hall[B] 08:45 10:15 5 Paper(s)

.:. Dr. Hemant Umap IN FRI: 29-12-2017 Hall[B] 08:45 09:00

Author(s):.HEMANT UMAP

.:. Dr. Nourhan Rakha EG FRI: 29-12-2017 Hall[B] 09:00 09:15

Author(s):.H. M. Barakat O. M. Khaled N. Khalil. Rakha

.:. Dr. Ayman Abd-Elrahman EG FRI: 29-12-2017 Hall[B] 09:15 09:30

Author(s):.Ayman M. Abd-Elrahman

.:. Dr. Hazem Al-Mofleh JO FRI: 29-12-2017 Hall[B] 09:30 09:45

Author(s):.Hazem Al-Mofleh M. Elgarhy Ahmed Z. Afify

.:. Dr. Rashad M. EL-Sagheer EG FRI: 29-12-2017 Hall[B] 09:45 10:00

Author(s):.Mohamed A. W. Mahmoud Rashad M. EL-Sagheer Amr M. Abou-Senna



Chairman(s):

1

STA - 9IN

Oral - Sec05( 1 )08:45 : 09:00

��

2

STA - 11EG

Oral - Sec05( 2 )09:00 : 09:15

�� ,��

3

STA - 12EG

Oral - Sec05( 3 )09:15 : 09:30

�� -�� : ��

4

STA - 13JO

Oral - Sec05( 4 )09:30 : 09:45

��

5

STA - 14EG

Oral - Sec05( 5 )09:45 : 10:00

�� -�� -��

Page 13 of 158

Oral - Sec06 FRI: 29-12-2017 Hall[C] 08:45 10:15 5 Paper(s)

.:. Dr. EG FRI: 29-12-2017 Hall[C] 08:45 09:00

Author(s):.احمد الرفاعي فتحي النحراوي

.:. Ms. Hanaa Eldidamony EG FRI: 29-12-2017 Hall[C] 09:00 09:15

Author(s):.E.A.Youness N.A.El-Kholy H.A.Eldidamony

.:. Dr. Samah El-kholy EG FRI: 29-12-2017 Hall[C] 09:15 09:30

Author(s):.W. K. Zahra S. M. Elkoly

.:. Ms. Eman Fares EG FRI: 29-12-2017 Hall[C] 09:30 09:45

Author(s):.Abdallah W . Aboutahoun Eman Fares

.:. Assoc.Prof. Abdallah Aboutahoun EG FRI: 29-12-2017 Hall[C] 09:45 10:00

Author(s):.Abdallah W. Aboutahoun



Chairman(s):

1

NAM - 7EG

Oral - Sec06( 1 )08:45 : 09:00

الریاضھ العددیھ وتطورھا العقلي لمواجھ مشكلھ صعوبات التعلم الریاضي

2

NAM - 8EG

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NAM - 9EG

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NAM - 12EG

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NAM - 13EG

Oral - Sec06( 5 )09:45 : 10:00

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Page 14 of 158

Oral - Sec07 FRI: 29-12-2017 Hall[D] 08:45 10:15 5 Paper(s)

.:. Dr. Hader Elgendy EG FRI: 29-12-2017 Hall[D] 08:45 09:00

Author(s):.Hader A. Elgendy

.:. Dr. wajih ashraf EG FRI: 29-12-2017 Hall[D] 09:00 09:15

Author(s):.WAJIH ASHRAF

.:. Prof. Abdelrahman Heliel EG FRI: 29-12-2017 Hall[D] 09:15 09:30

Author(s):.Mohamed Asaad Abdelrahman Heliel

.:. Assoc.Prof. Emam Emam EG FRI: 29-12-2017 Hall[D] 09:30 09:45

Author(s):.E.G.Emam

.:. Dr. Susan El-Deken EG FRI: 29-12-2017 Hall[D] 09:45 10:00

Author(s):.SUSAN F. EL-DEKEN



Chairman(s):

1

ALG - 2EG

Oral - Sec07( 1 )08:45 : 09:00

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2

ALG - 4EG

Oral - Sec07( 2 )09:00 : 09:15

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ALG - 5EG

Oral - Sec07( 3 )09:15 : 09:30

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ALG - 5EG

Oral - Sec07( 4 )09:30 : 09:45

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ALG - 6EG

Oral - Sec07( 5 )09:45 : 10:00

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Page 15 of 158

Oral - Sec08 FRI: 29-12-2017 Hall[A] 04:00 05:45 6 Paper(s)

.:. Ms. Amany Elgarawany EG FRI: 29-12-2017 Hall[A] 04:00 04:15

Author(s):.Aly M. Abourabia Amany Z. Elgarawany

.:. Prof. Hamad Yehia EG FRI: 29-12-2017 Hall[A] 04:15 04:30

Author(s):.Hamad M. YEHIA

.:. Dr. Ahmed Kamal EG FRI: 29-12-2017 Hall[A] 04:30 04:45

Author(s):.A. K. Abu-Nab S. A. Mohammadein

.:. Mr. Mahmoud-SifedDin Taha EG FRI: 29-12-2017 Hall[A] 04:45 05:00

Author(s):.Mahmoud-SifedDin A. Taha Muhammad H. El-Sabaa Aladin H. Kamel

.:. Mr. Mahmoud-SifedDin Taha EG FRI: 29-12-2017 Hall[A] 05:00 05:15


.:. Dr. Tarek El-shahat EG FRI: 29-12-2017 Hall[A] 05:15 05:30

Author(s):.M. K. Ismail T. M. El-Shahat A.-S. F. Obada



Chairman(s):

1

MPH - 16EG

Oral - Sec08( 1 )04:00 : 04:15

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2

MPH - 17EG

Oral - Sec08( 2 )04:15 : 04:30

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MPH - 18EG

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MPH - 19EG

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MPH - 20EG

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MPH - 21EG

Oral - Sec08( 6 )05:15 : 05:30

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Page 16 of 158

Oral - Sec09 FRI: 29-12-2017 Hall[B] 04:00 05:45 4 Paper(s)

.:. Mr. islam elhusseiny EG FRI: 29-12-2017 Hall[B] 04:00 04:15

Author(s):.H. M. Barakat E. M. Nigm M.A. Alawady I. A. Husseiny

.:. Dr. Esraa Abo Zaid EG FRI: 29-12-2017 Hall[B] 04:15 04:30

Author(s):.H.M.Barakat E.M.Nigm E. O. Abo Zaid

.:. Prof. Ahmed Tarabia EG FRI: 29-12-2017 Hall[B] 04:30 04:45

Author(s):.A.M.K Tarabia Ali H.El Baz Abdulaziz M. Darwiesh

.:. Mr. Atef Hashem EG FRI: 29-12-2017 Hall[B] 04:45 05:00

Author(s):.Saralees Nadarajah Alaa H. Abdel-Hamid Atef F. Hashem



Chairman(s):

1

STA - 17EG

Oral - Sec09( 1 )04:00 : 04:15

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2

STA - 19EG

Oral - Sec09( 2 )04:15 : 04:30

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STA - 21EG

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STA - 16EG

Oral - Sec09( 4 )04:45 : 05:00

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Page 17 of 158

Oral - Sec10 FRI: 29-12-2017 Hall[C] 04:00 06:00 8 Paper(s)

.:. Mr. Hammam Alshazly EG FRI: 29-12-2017 Hall[C] 04:00 04:15

Author(s):.Hammam A. Alshazly M. Hassaballah Abdelmgeid Amin Ali

.:. Dr. Asaad Ahmed EG FRI: 29-12-2017 Hall[C] 04:15 04:30

Author(s):.Ahmed A. A. Gad-ElRab T. A. A. Alzohairy Khaled A. A. Khalf-Allah

.:. Ms. Reda Mohammed EG FRI: 29-12-2017 Hall[C] 04:30 04:45

Author(s):.Reda Mohammed Nahla F. Omran Abdelmgeid A. Ali

.:. Dr. Amira Salem EG FRI: 29-12-2017 Hall[C] 04:45 05:00

Author(s):.Nabil T.M. Eldabe Hamida M. Shawky Amira S. Awaad

.:. Prof. Elmetwally Elabbasy EG FRI: 29-12-2017 Hall[C] 05:00 05:15

Author(s):.Elmetwally M. M. Elabbasy Hamdy A. El-Metwally

.:. Mr. Titus Orwa KE FRI: 29-12-2017 Hall[C] 05:15 05:30

Author(s):.Titus Okello Orwa Rachel Waema Mbogo Livingstone Luboobi

.:. Prof. Hamdy El-Metwally EG FRI: 29-12-2017 Hall[C] 05:30 05:45

Author(s):.Hamdy A. El-Metwally Elmetwally M. M. Elabbasy Amna Eshtiba

.:. Ms. Purity Ngina KE FRI: 29-12-2017 Hall[C] 05:45 06:00

Author(s):.Purity Ngina Dr. Rachel Waema Prof. Livingstone S. Luboobi



Chairman(s):

1

CSC - 2EG

Oral - Sec10( 1 )04:00 : 04:15

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2

CSC - 3EG

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CSC - 5EG

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DSA - 2EG

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DSA - 6KE

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DSA - 5KE

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Page 18 of 158

Oral - Sec11 FRI: 29-12-2017 Hall[D] 04:00 05:45 6 Paper(s)

.:. Ms. Asmaa Naser EG FRI: 29-12-2017 Hall[D] 04:00 04:15

Author(s):.M. H. Fahmy A. M. Hassanian A. Naser

.:. Ms. sarah Kamal El-Din EG FRI: 29-12-2017 Hall[D] 04:15 04:30

Author(s):.Mohamed H. Fahmy Sabria Atallah Abdel-Rahman Hassanein Sarah Kamal El-Din

.:. Assoc.Prof. Mohammed Abuelhassan Saleem EG FRI: 29-12-2017 Hall[D] 04:30 04:45

Author(s):.Mohammed A. Saleem Waleed Khaled Elshareef

.:. Dr. Ahmed Ageeb EG FRI: 29-12-2017 Hall[D] 04:45 05:00

Author(s):.SUSAN F. EL-DEKEN A. AGEEB

.:. Ms. Zeinab Mohammed Ahmed EG FRI: 29-12-2017 Hall[D] 05:00 05:15

Author(s):.H. El- zohny Afaf Abd El kadr Z. Mohammed

.:. Ms. Bsmaa EL gamudi EG FRI: 29-12-2017 Hall[D] 05:15 05:30

Author(s):.Usama A. Aburawash Bsmaa M. ELgamudi Muna E. AbdUlhafed



Chairman(s):

1

ALG - 7EG

Oral - Sec11( 1 )04:00 : 04:15

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2

ALG - 8EG

Oral - Sec11( 2 )04:15 : 04:30

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3

ALG - 9EG

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ALG - 10EG

Oral - Sec11( 4 )04:45 : 05:00

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ALG - 11EG

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ALG - 13EG

Oral - Sec11( 6 )05:15 : 05:30

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Page 19 of 158

Oral - Sec12 SAT: 30-12-2017 Hall[A] 08:45 10:15 5 Paper(s)

.:. Dr. M Elsafty EG SAT: 30-12-2017 Hall[A] 08:45 09:00

Author(s):.M. A. Elsafty H. M. Elkhawaga A.M.Kozae

.:. Prof. Fathi Khedr EG SAT: 30-12-2017 Hall[A] 09:00 09:15

Author(s):.F.H. Khedr S.A. Abd El-Baki M.S. Malfi

.:. Assoc.Prof. Heba Mustafa EG SAT: 30-12-2017 Hall[A] 09:15 09:30

Author(s):.Heba Ibrahim Mustafa

.:. Assoc.Prof. Fawsia Sleim EG SAT: 30-12-2017 Hall[A] 09:30 09:45

Author(s):.Fawsia Sleim

.:. Assoc.Prof. Heba Mustafa EG SAT: 30-12-2017 Hall[A] 09:45 10:00

Author(s):.Heba



Chairman(s):

1

TGA - 1EG

Oral - Sec12( 1 )08:45 : 09:00

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2

TGA - 2EG

Oral - Sec12( 2 )09:00 : 09:15

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TGA - 4EG

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TGA - 5EG

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TGA - 6EG

Oral - Sec12( 5 )09:45 : 10:00

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Page 20 of 158

Oral - Sec13 SAT: 30-12-2017 Hall[B] 08:45 10:15 4 Paper(s)

.:. Dr. Mohaned Abdalla EG SAT: 30-12-2017 Hall[B] 08:45 09:00

Author(s):.M. Abdalla H. Abd-Elmageedb M. Abul-Ez


Author(s):.M. Abdalla


Author(s):.H. ABD-ELMAGEED M. ABUL-EZ Z. KISHKA A. ABDEL RADY

.:. Dr. Sahar Mohamed Ali Abou Bakr EG SAT: 30-12-2017 Hall[B] 09:30 09:45

Author(s):.Sahar Mohamed Ali Abou Bakr



Chairman(s):

1

FUA - 1EG

Oral - Sec13( 1 )08:45 : 09:00

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FUA - 2EG

Oral - Sec13( 2 )09:00 : 09:15

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FUA - 3EG

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Page 21 of 158

Oral - Sec14 SAT: 30-12-2017 Hall[C] 08:45 10:15 5 Paper(s)


Author(s):.Abdurrahman Abdulhamid Kabiru Muhammad

.:. Prof. Gamal Elnagar US SAT: 30-12-2017 Hall[C] 09:00 09:15

Author(s):.Gamal N. Elnagar


Author(s):.Abdurrahman Abdulhamid Kabiru Muhammad Zahraddeen Abdullahi

.:. Assoc.Prof. Wael Mohammed EG SAT: 30-12-2017 Hall[C] 09:30 09:45

Author(s):.Wael W. Mohammed

.:. Dr. Ahmed El-Deeb EG SAT: 30-12-2017 Hall[C] 09:45 10:00

Author(s):.A. A. El-Deeb



Chairman(s):

1

DEA - 2NG

Oral - Sec14( 1 )08:45 : 09:00

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DEA - 4US

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DEA - 7EG

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Page 22 of 158

Oral - Sec15 SAT: 30-12-2017 Hall[A] 04:00 05:45 5 Paper(s)

.:. Assoc.Prof. Fawsia Sleim EG SAT: 30-12-2017 Hall[A] 04:00 04:15

Author(s):.Fawsia

.:. Dr. Abd El Fattah El Atik EG SAT: 30-12-2017 Hall[A] 04:15 04:30

Author(s):.Abd El Fattah A. El Atik Arafa A. Nasef

.:. Mr. mohammed atef EG SAT: 30-12-2017 Hall[A] 04:30 04:45

Author(s):.Abd El Fattah A. El Atik Mohammed atef

.:. Mr. haytham ashraf EG SAT: 30-12-2017 Hall[A] 04:45 05:00

Author(s):.H. S. Abdel-Aziz M. Khalifa Saad Haytham. A. Ali

.:. Dr. Salah Ali EG SAT: 30-12-2017 Hall[A] 05:00 05:15

Author(s):.Salah Gomma Ahmed Ali Elgendi



Chairman(s):

1

TGA - 7EG

Oral - Sec15( 1 )04:00 : 04:15

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TGA - 8EG

Oral - Sec15( 2 )04:15 : 04:30

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TGA - 9EG

Oral - Sec15( 3 )04:30 : 04:45

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TGA - 10EG

Oral - Sec15( 4 )04:45 : 05:00

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TGA - 11EG

Oral - Sec15( 5 )05:00 : 05:15

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Page 23 of 158

Oral - Sec16 SAT: 30-12-2017 Hall[B] 04:00 05:45 4 Paper(s)

.:. Assoc.Prof. Ali Saddeek EG SAT: 30-12-2017 Hall[B] 04:00 04:15

Author(s):.Ali Mohamed Saddeek Sayed Attia Ahmed

.:. Dr. Alaa Hassan EG SAT: 30-12-2017 Hall[B] 04:15 04:30

Author(s):.A. H. Hassan

.:. Dr. Alaa Hassan EG SAT: 30-12-2017 Hall[B] 04:30 04:45


.:. Dr. S. Al-Tamemy EG SAT: 30-12-2017 Hall[B] 04:45 05:00

Author(s):.Somiah Elzahaby S. Al-Tamemy



Chairman(s):

1

FUA - 6EG

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FUA - 7EG

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Page 24 of 158

Oral - Sec17 SAT: 30-12-2017 Hall[C] 04:00 05:45 4 Paper(s)

.:. Prof. Fathalla Rihan AE SAT: 30-12-2017 Hall[C] 04:00 04:15

Author(s):.Fathalla A. Rihan

.:. Dr. shaimaa salem EG SAT: 30-12-2017 Hall[C] 04:15 04:30

Author(s):.M. M. A. El-Sheikh R. Sallam S. Salem

.:. Dr. Samah El-kholy EG SAT: 30-12-2017 Hall[C] 04:30 04:45


.:. Dr. Samir Saker EG SAT: 30-12-2017 Hall[C] 04:45 05:00

Author(s):.Sami H. Saker



Chairman(s):

1

DEA - 9AE

Oral - Sec17( 1 )04:00 : 04:15

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DEA - 10EG

Oral - Sec17( 2 )04:15 : 04:30

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DEA - 14EG

Oral - Sec17( 4 )04:45 : 05:00

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Page 25 of 158

Sec Poster (01) THU: 28-12-2017 Hall 01:15 02:45 14 Paper(s)

.:. Assoc.Prof. A. Mahdy EG THU: 28-12-2017 Hall 01:15 02:45

Author(s):.A. Mahdy

.:. Dr. Manmath Lohgaonkar IN THU: 28-12-2017 Hall 01:15 02:45

Author(s):.Manmath Haridasrao Lohgaonkar Vijay Narkhede

.:. Assoc.Prof. Bothina El-sobky EG THU: 28-12-2017 Hall 01:15 02:45

Author(s):.Bothina Elsobky Yousria Abo-Elnaga

.:. Dr. Berrehail Mounira DZ THU: 28-12-2017 Hall 01:15 02:45

Author(s):.mounira berrehail benamira farid

.:. Dr. Nourhan Rakha EG THU: 28-12-2017 Hall 01:15 02:45


.:. Assoc.Prof. Bothina El-sobky EG THU: 28-12-2017 Hall 01:15 02:45


.:. Dr. Rania El- tantawy EG THU: 28-12-2017 Hall 01:15 02:45

Author(s):.M.N.M. Allam R. Tantawy A. Yousof A.M. Zenkour

.:. Ms. Naeima elkhader EG THU: 28-12-2017 Hall 01:15 02:45

Author(s):.H. M. Barakat A. W. Aboutahoun N. N. El-kadar

.:. Prof. HAIOUR MOHAMED DZ THU: 28-12-2017 Hall 01:15 02:45

Author(s):.HAIOUR MOHAMED Salah Boulaaras Mohamed Amine Bencheikh Le Hocine

.:. Ms. Afaf hatem Syam EG THU: 28-12-2017 Hall 01:15 02:45

Author(s):.H. M. Barakat E. M. Nigm A. H. Syam

.:. Dr. Rashad M. EL-Sagheer EG THU: 28-12-2017 Hall 01:15 02:45

Author(s):.Rashad M. EL-Sagheer



Chairman(s):

1

MPH - 1EG

Sec Poster (01)( 1 )01:15 : 02:45

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STA - 4IN

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NAM - 10EG

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MPH - 4DZ

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STA - 10EG

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NAM - 11EG

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MPH - 5EG

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STA - 18EG

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NAM - 14DZ

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MPH - 14EG

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STA - 20EG

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Page 26 of 158

.:. Dr. Tarek El-shahat EG THU: 28-12-2017 Hall 01:15 02:45

Author(s):.A. R. Mohammed. T. M. El-Shahat

.:. Mr. Ahmad Yousof Ahmad Taha Abd allatif EG THU: 28-12-2017 Hall 01:15 02:45

Author(s):.M.N.M. Allam R. Tantawy A. Yousof

.:. Dr. Ali Abu-Bakr EG THU: 28-12-2017 Hall 01:15 02:45

Author(s):.Ali F. Abu-Bakr Andery Yu. Zubarev

12 MPH - 22EG

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MPH - 23EG

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Page 27 of 158

Sec Poster (02) FRI: 29-12-2017 Hall 01:15 02:45 5 Paper(s)

.:. Dr. Ghada gohary EG FRI: 29-12-2017 Hall 01:15 02:45

Author(s):.Prof/ Gamal M. Nawara Dr/ M. Mansour Dr/ Ghada M. Abdel Salam

.:. Mr. Abdelmohaymen Mohammed AbdulazizFawaz EG FRI: 29-12-2017 Hall 01:15 02:45

Author(s):.Abdelmohaymen Mohammed Abdulaziz Fawaz

.:. Mr. Elsadek Hussein EG FRI: 29-12-2017 Hall 01:15 02:45

Author(s):.Zahraa Elsayed Mohamed Elsadek Hussien Ibrahim

.:. Mr. mahmoud atef EG FRI: 29-12-2017 Hall 01:15 02:45

Author(s):.Zahraa E. Mohamed Mahmoud Atef

.:. Dr. Wael Fawaz EG FRI: 29-12-2017 Hall 01:15 02:45

Author(s):.Wael M.F. Abdel-Rehim



Chairman(s):

1

DSA - 1EG

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TGA - 3EG

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Page 28 of 158

Sec Poster (03) SAT: 30-12-2017 Hall 01:15 02:45 10 Paper(s)

.:. Dr. maha hamed EG SAT: 30-12-2017 Hall 01:15 02:45

Author(s):.Maha Hamed Ibrahim Al-Kalla Mohamed El-Beltagy Beih El-desouky

.:. Mr. Usama Wadie EG SAT: 30-12-2017 Hall 01:15 02:45

Author(s):.Usama Wadie Aziz Mousa

.:. Dr. Hakima BOUHADJERA DZ SAT: 30-12-2017 Hall 01:15 02:45

Author(s):.Hakima BOUHADJERA

.:. Dr. Sheren Abd El salam EG SAT: 30-12-2017 Hall 01:15 02:45

Author(s):.Sheren Ahmed Fatma Gaafar

.:. Mr. Dhyaa Abdalhassan Mohan EG SAT: 30-12-2017 Hall 01:15 02:45

Author(s):.A. H. Hassan D. A. Mohan

.:. Dr. REZZOUG Imad DZ SAT: 30-12-2017 Hall 01:15 02:45

Author(s):.REZZOUG Imad AYADI Abdelhamid

.:. Dr. Taha Yassen EG SAT: 30-12-2017 Hall 01:15 02:45

Author(s):.Mohamed Abdelrahman Ahmed Alaa Kamal Mohamed Taha Ibrahim Yassen Moursy

.:. Assoc.Prof. Usama Abdelsalam EG SAT: 30-12-2017 Hall 01:15 02:45

Author(s):.U.M. Abdelsalam

.:. Dr. Ahmed M. Zidan EG SAT: 30-12-2017 Hall 01:15 02:45

Author(s):.A. M. Zidan M. A. Barakat

.:. Ms. Ghada Elmahdy EG SAT: 30-12-2017 Hall 01:15 02:45

Author(s):.Dr. Anas Arafa Ghada Elmahdy



Chairman(s):

1

DEA - 1EG

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ALG - 1EG

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FUA - 9EG

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FUA - 10EG

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Page 29 of 158

.:. Assoc.Prof. A. Mahdy Poster EG THU: 28-12-2017 Hall 01:15 02:45

Author(s):.A. Mahdy

.:. Dr. Berrehail Mounira Poster DZ THU: 28-12-2017 Hall 01:15 02:45

Author(s):.mounira berrehail benamira farid

.:. Dr. Rania El- tantawy Poster EG THU: 28-12-2017 Hall 01:15 02:45

Author(s):.M.N.M. Allam R. Tantawy A. Yousof A.M. Zenkour

.:. Ms. Afaf hatem Syam Poster EG THU: 28-12-2017 Hall 01:15 02:45

Author(s):.H. M. Barakat E. M. Nigm A. H. Syam

.:. Dr. Tarek El-shahat Poster EG THU: 28-12-2017 Hall 01:15 02:45

Author(s):.A. R. Mohammed. T. M. El-Shahat

.:. Mr. Ahmad Yousof Ahmad Taha Abd allatif Poster EG THU: 28-12-2017 Hall 01:15 02:45

Author(s):.M.N.M. Allam R. Tantawy A. Yousof

.:. Dr. Ali Abu-Bakr Poster EG THU: 28-12-2017 Hall 01:15 02:45

Author(s):.Ali F. Abu-Bakr Andery Yu. Zubarev

.:. Dr. Mohammed Abdulhameed Oral NG THU: 28-12-2017 Hall[A] 04:00 04:15

Author(s):.Mohammed Abdulhameed

.:. Mr. Mohammed Salisu Chimo Oral NG THU: 28-12-2017 Hall[A] 04:15 04:30

Author(s):.Mohammed Salisu Chimo Mohammed Abdulhameed Sagir Mahmud Abdullahi

.:. Dr. Abdulsalam Ya'u Gital Oral NG THU: 28-12-2017 Hall[A] 04:30 04:45

Author(s):.Dr. Abdulsalam Ya'u Gital

International Conference on Mathematics, Trends and Development ICMTD17 , Cairo, Egypt, 28 – 30 Dec. 2017,

Organized by The Egyptian Mathematical Society

AI(1) Abstract Index from 1 to 10 of 115

Page Mathematical Physics.

1

MPH - 1

EG


01:15 : 02:45

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2

MPH - 4

DZ


01:15 : 02:45

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3

MPH - 5

EG


01:15 : 02:45

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4

MPH - 14

EG


01:15 : 02:45

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5

MPH - 22

EG


01:15 : 02:45

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6

MPH - 23

EG


01:15 : 02:45

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7

MPH - 24

EG


01:15 : 02:45

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8

MPH - 2

NG

Oral - Sec01( 1 )

04:00 : 04:15

�� -�� -�� -��

9

MPH - 3

NG

Oral - Sec01( 2 )

04:15 : 04:30

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10

MPH - 6

NG

Oral - Sec01( 3 )

04:30 : 04:45

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::::... ....

Page 30 of 158

http://etms-eg.org/etms2012/Logs/agendabookindex.php?pageNum_Recordset1=1&totalRows_Recordset1=115


.:. Assoc.Prof. Abdallah A. Nahla Oral EG THU: 28-12-2017 Hall[A] 04:45 05:00

Author(s):.Abdallah A. Nahla M.M.A. Ahmed

.:. Dr. Sara Abdelsalam Oral EG THU: 28-12-2017 Hall[A] 05:00 05:15

Author(s):.Sara Abdelsalam Muhammed Bhatti

.:. Prof. Mohamed Abu-shady Oral EG THU: 28-12-2017 Hall[A] 05:15 05:30

Author(s):.M. Abu-Shady T. A. Abdel-Karim E. M. Khokha

.:. Prof. Nasser Metwally Oral BH FRI: 29-12-2017 Hall[A] 08:45 09:00

Author(s):.Nasser Metwally

.:. Assoc.Prof. A. Mahdy Oral EG FRI: 29-12-2017 Hall[A] 09:00 09:15

Author(s):.A. Mahdy

.:. Dr. Tarek El-shahat Oral EG FRI: 29-12-2017 Hall[A] 09:15 09:30

Author(s):.Tarek M. Elshahat

.:. Dr. Ali Mohammed Moawad Oral EG FRI: 29-12-2017 Hall[A] 09:30 09:45

Author(s):.Kh. S. Mekheimer R. E. Abo-Elkhair A. M. A. Moawad

.:. Dr. shaimaa fathey Oral EG FRI: 29-12-2017 Hall[A] 09:45 10:00

Author(s):.Shaimaa F. Ramadan

.:. Ms. Amany Elgarawany Oral EG FRI: 29-12-2017 Hall[A] 04:00 04:15

Author(s):.Aly M. Abourabia Amany Z. Elgarawany

.:. Prof. Hamad Yehia Oral EG FRI: 29-12-2017 Hall[A] 04:15 04:30

Author(s):.Hamad M. YEHIA





11

MPH - 7

EG

Oral - Sec01( 4 )

04:45 : 05:00

�� -�� (1,1) ��

12

MPH - 8

EG

Oral - Sec01( 5 )

05:00 : 05:15

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13

MPH - 9

EG

Oral - Sec01( 6 )

05:15 : 05:30

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14

MPH - 10

BH

Oral - Sec04( 1 )

08:45 : 09:00

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15

MPH - 11

EG

Oral - Sec04( 2 )

09:00 : 09:15

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16

MPH - 12

EG

Oral - Sec04( 3 )

09:15 : 09:30

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17

MPH - 13

EG

Oral - Sec04( 4 )

09:30 : 09:45

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18

MPH - 15

EG

Oral - Sec04( 5 )

09:45 : 10:00

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19

MPH - 16

EG

Oral - Sec08( 1 )

04:00 : 04:15

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20

MPH - 17

EG

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04:15 : 04:30

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.... ...:::: ::::... ....

Page 31 of 158





.:. Dr. Ahmed Kamal Oral EG FRI: 29-12-2017 Hall[A] 04:30 04:45

Author(s):.A. K. Abu-Nab S. A. Mohammadein

.:. Mr. Mahmoud-SifedDin Taha Oral EG FRI: 29-12-2017 Hall[A] 04:45 05:00


.:. Mr. Mahmoud-SifedDin Taha Oral EG FRI: 29-12-2017 Hall[A] 05:00 05:15


.:. Dr. Tarek El-shahat Oral EG FRI: 29-12-2017 Hall[A] 05:15 05:30

Author(s):.M. K. Ismail T. M. El-Shahat A.-S. F. Obada

.:. Dr. Manmath Lohgaonkar Poster IN THU: 28-12-2017 Hall 01:15 02:45

Author(s):.Manmath Haridasrao Lohgaonkar Vijay Narkhede

.:. Dr. Nourhan Rakha Poster EG THU: 28-12-2017 Hall 01:15 02:45


.:. Ms. Naeima elkhader Poster EG THU: 28-12-2017 Hall 01:15 02:45

Author(s):.H. M. Barakat A. W. Aboutahoun N. N. El-kadar

.:. Dr. Rashad M. EL-Sagheer Poster EG THU: 28-12-2017 Hall 01:15 02:45

Author(s):.Rashad M. EL-Sagheer

.:. Prof. Ahmed Elsayed Oral EG THU: 28-12-2017 Hall[B] 04:00 04:15

Author(s):.Ahmed Mohamed Mohamed El-Sayed

.:. Prof. Ahmed Abd Ellah Oral EG THU: 28-12-2017 Hall[B] 04:15 04:30

Author(s):.Prof. A. H. Abd Ellah





21

MPH - 18

EG

Oral - Sec08( 3 )

04:30 : 04:45

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22

MPH - 19

EG

Oral - Sec08( 4 )

04:45 : 05:00

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23

MPH - 20

EG

Oral - Sec08( 5 )

05:00 : 05:15

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24

MPH - 21

EG

Oral - Sec08( 6 )

05:15 : 05:30

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Page Mathematical Statistics.

25

STA - 4

IN


01:15 : 02:45

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26

STA - 10

EG


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27

STA - 18

EG


01:15 : 02:45

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28

STA - 20

EG


01:15 : 02:45

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29

STA - 2

EG

Oral - Sec02( 1 )

04:00 : 04:15

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30

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EG

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04:15 : 04:30

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Page 32 of 158





.:. Mr. Sagir Mahmud Abdullahi Oral NG THU: 28-12-2017 Hall[B] 04:30 04:45

Author(s):.Hamisu Idi Adamu Abubakar

.:. Dr. Hazem Al-Mofleh Oral JO THU: 28-12-2017 Hall[B] 04:45 05:00

Author(s):.Hazem Al-Mofleh

.:. Dr. Mahmoud Ragab Oral EG THU: 28-12-2017 Hall[B] 05:00 05:15

Author(s):.Mahmoud Ragab

.:. Dr. Hemant Umap Oral IN FRI: 29-12-2017 Hall[B] 08:45 09:00

Author(s):.HEMANT UMAP

.:. Dr. Nourhan Rakha Oral EG FRI: 29-12-2017 Hall[B] 09:00 09:15


.:. Dr. Ayman Abd-Elrahman Oral EG FRI: 29-12-2017 Hall[B] 09:15 09:30

Author(s):.Ayman M. Abd-Elrahman

.:. Dr. Hazem Al-Mofleh Oral JO FRI: 29-12-2017 Hall[B] 09:30 09:45

Author(s):.Hazem Al-Mofleh M. Elgarhy Ahmed Z. Afify

.:. Dr. Rashad M. EL-Sagheer Oral EG FRI: 29-12-2017 Hall[B] 09:45 10:00

Author(s):.Mohamed A. W. Mahmoud Rashad M. EL-Sagheer Amr M. Abou-Senna

.:. Mr. islam elhusseiny Oral EG FRI: 29-12-2017 Hall[B] 04:00 04:15

Author(s):.H. M. Barakat E. M. Nigm M.A. Alawady I. A. Husseiny

.:. Dr. Esraa Abo Zaid Oral EG FRI: 29-12-2017 Hall[B] 04:15 04:30

Author(s):.H.M.Barakat E.M.Nigm E. O. Abo Zaid





31

STA - 5

NG

Oral - Sec02( 3 )

04:30 : 04:45

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32

STA - 6

JO

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04:45 : 05:00

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33

STA - 8

EG

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05:00 : 05:15

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34

STA - 9

IN

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08:45 : 09:00

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35

STA - 11

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36

STA - 12

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37

STA - 13

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09:30 : 09:45

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38

STA - 14

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39

STA - 17

EG

Oral - Sec09( 1 )

04:00 : 04:15

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40

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Page 33 of 158





.:. Prof. Ahmed Tarabia Oral EG FRI: 29-12-2017 Hall[B] 04:30 04:45

Author(s):.A.M.K Tarabia Ali H.El Baz Abdulaziz M. Darwiesh

.:. Mr. Atef Hashem Oral EG FRI: 29-12-2017 Hall[B] 04:45 05:00

Author(s):.Saralees Nadarajah Alaa H. Abdel-Hamid Atef F. Hashem

.:. Assoc.Prof. Bothina El-sobky Poster EG THU: 28-12-2017 Hall 01:15 02:45


.:. Assoc.Prof. Bothina El-sobky Poster EG THU: 28-12-2017 Hall 01:15 02:45


.:. Prof. HAIOUR MOHAMED Poster DZ THU: 28-12-2017 Hall 01:15 02:45

Author(s):.HAIOUR MOHAMED Salah Boulaaras Mohamed Amine Bencheikh Le Hocine

.:. Mr. Kabiru Muhammad Oral NG THU: 28-12-2017 Hall[C] 04:00 04:15

Author(s):.Kabiru Muhammad Abdurrahman Abdulhamid

.:. Dr. Tamer Kasem Oral EG THU: 28-12-2017 Hall[C] 04:15 04:30

Author(s):.Tamer Heshmat Mohamed Aly Kasem

.:. Prof. Nasser Sweilam Oral EG THU: 28-12-2017 Hall[C] 04:30 04:45

Author(s):.Nasser Hassan Sweilam Seham AL-Mekhlai Anan O. Albalawi

.:. Prof. Waleed Abd-Elhameed Oral EG THU: 28-12-2017 Hall[C] 04:45 05:00

Author(s):.Youssri H. Youssri Waleed M. Abd-Elhameed

.:. Dr. Oral EG FRI: 29-12-2017 Hall[C] 08:45 09:00

Author(s):.احمد الرفاعي فتحي النحراوي





41

STA - 21

EG

Oral - Sec09( 3 )

04:30 : 04:45

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42

STA - 16

EG

Oral - Sec09( 4 )

04:45 : 05:00

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Page Numerical Analysis Methods and Applications.

43

NAM - 10

EG


01:15 : 02:45

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44

NAM - 11

EG


01:15 : 02:45

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45

NAM - 14

DZ


01:15 : 02:45

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46

NAM - 1

NG

Oral - Sec03( 1 )

04:00 : 04:15

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47

NAM - 2

EG

Oral - Sec03( 2 )

04:15 : 04:30

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48

NAM - 3

EG

Oral - Sec03( 3 )

04:30 : 04:45

��

49

NAM - 4

EG

Oral - Sec03( 4 )

04:45 : 05:00

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50

NAM - 7

EG

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.... ...:::: ::::... ....

Page 34 of 158





.:. Ms. Hanaa Eldidamony Oral EG FRI: 29-12-2017 Hall[C] 09:00 09:15

Author(s):.E.A.Youness N.A.El-Kholy H.A.Eldidamony

.:. Dr. Samah El-kholy Oral EG FRI: 29-12-2017 Hall[C] 09:15 09:30


.:. Ms. Eman Fares Oral EG FRI: 29-12-2017 Hall[C] 09:30 09:45

Author(s):.Abdallah W . Aboutahoun Eman Fares

.:. Assoc.Prof. Abdallah Aboutahoun Oral EG FRI: 29-12-2017 Hall[C] 09:45 10:00

Author(s):.Abdallah W. Aboutahoun

.:. Dr. Ghada gohary Poster EG FRI: 29-12-2017 Hall 01:15 02:45

Author(s):.Prof/ Gamal M. Nawara Dr/ M. Mansour Dr/ Ghada M. Abdel Salam

.:. Dr. Amira Salem Oral EG FRI: 29-12-2017 Hall[C] 04:45 05:00

Author(s):.Nabil T.M. Eldabe Hamida M. Shawky Amira S. Awaad

.:. Prof. Elmetwally Elabbasy Oral EG FRI: 29-12-2017 Hall[C] 05:00 05:15

Author(s):.Elmetwally M. M. Elabbasy Hamdy A. El-Metwally

.:. Mr. Titus Orwa Oral KE FRI: 29-12-2017 Hall[C] 05:15 05:30

Author(s):.Titus Okello Orwa Rachel Waema Mbogo Livingstone Luboobi

.:. Prof. Hamdy El-Metwally Oral EG FRI: 29-12-2017 Hall[C] 05:30 05:45

Author(s):.Hamdy A. El-Metwally Elmetwally M. M. Elabbasy Amna Eshtiba

.:. Ms. Purity Ngina Oral KE FRI: 29-12-2017 Hall[C] 05:45 06:00

Author(s):.Purity Ngina Dr. Rachel Waema Prof. Livingstone S. Luboobi




Page Numerical Analysis Methods and Applications.

51

NAM - 8

EG

Oral - Sec06( 2 )

09:00 : 09:15

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52

NAM - 9

EG

Oral - Sec06( 3 )

09:15 : 09:30

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53

NAM - 12

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09:30 : 09:45

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54

NAM - 13

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09:45 : 10:00

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Page Dynamical Systems and Applications.

55

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01:15 : 02:45

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56

DSA - 2

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04:45 : 05:00

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57

DSA - 3

EG

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05:00 : 05:15

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58

DSA - 6

KE

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05:15 : 05:30

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59

DSA - 4

EG

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05:30 : 05:45

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60

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Page 35 of 158





.:. Mr. Elsadek Hussein Poster EG FRI: 29-12-2017 Hall 01:15 02:45

Author(s):.Zahraa Elsayed Mohamed Elsadek Hussien Ibrahim

.:. Mr. mahmoud atef Poster EG FRI: 29-12-2017 Hall 01:15 02:45

Author(s):.Zahraa E. Mohamed Mahmoud Atef

.:. Dr. Wael Fawaz Poster EG FRI: 29-12-2017 Hall 01:15 02:45

Author(s):.Wael M.F. Abdel-Rehim

.:. Mr. Hammam Alshazly Oral EG FRI: 29-12-2017 Hall[C] 04:00 04:15

Author(s):.Hammam A. Alshazly M. Hassaballah Abdelmgeid Amin Ali

.:. Dr. Asaad Ahmed Oral EG FRI: 29-12-2017 Hall[C] 04:15 04:30

Author(s):.Ahmed A. A. Gad-ElRab T. A. A. Alzohairy Khaled A. A. Khalf-Allah

.:. Ms. Reda Mohammed Oral EG FRI: 29-12-2017 Hall[C] 04:30 04:45

Author(s):.Reda Mohammed Nahla F. Omran Abdelmgeid A. Ali

.:. Dr. Hader Elgendy Oral EG FRI: 29-12-2017 Hall[D] 08:45 09:00

Author(s):.Hader A. Elgendy

.:. Dr. wajih ashraf Oral EG FRI: 29-12-2017 Hall[D] 09:00 09:15

Author(s):.WAJIH ASHRAF

.:. Prof. Abdelrahman Heliel Oral EG FRI: 29-12-2017 Hall[D] 09:15 09:30

Author(s):.Mohamed Asaad Abdelrahman Heliel

.:. Assoc.Prof. Emam Emam Oral EG FRI: 29-12-2017 Hall[D] 09:30 09:45

Author(s):.E.G.Emam




Page Computer Science.

61

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01:15 : 02:45

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62

CSC - 4

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63

CSC - 7

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64

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65

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66

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67

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68

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09:00 : 09:15

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69

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70

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Page 36 of 158





.:. Dr. Susan El-Deken Oral EG FRI: 29-12-2017 Hall[D] 09:45 10:00

Author(s):.SUSAN F. EL-DEKEN

.:. Ms. Asmaa Naser Oral EG FRI: 29-12-2017 Hall[D] 04:00 04:15

Author(s):.M. H. Fahmy A. M. Hassanian A. Naser

.:. Ms. sarah Kamal El-Din Oral EG FRI: 29-12-2017 Hall[D] 04:15 04:30

Author(s):.Mohamed H. Fahmy Sabria Atallah Abdel-Rahman Hassanein Sarah Kamal El-Din

.:. Assoc.Prof. Mohammed Abuelhassan Saleem Oral EG FRI: 29-12-2017 Hall[D] 04:30 04:45

Author(s):.Mohammed A. Saleem Waleed Khaled Elshareef

.:. Dr. Ahmed Ageeb Oral EG FRI: 29-12-2017 Hall[D] 04:45 05:00

Author(s):.SUSAN F. EL-DEKEN A. AGEEB

.:. Ms. Zeinab Mohammed Ahmed Oral EG FRI: 29-12-2017 Hall[D] 05:00 05:15

Author(s):.H. El- zohny Afaf Abd El kadr Z. Mohammed

.:. Ms. Bsmaa EL gamudi Oral EG FRI: 29-12-2017 Hall[D] 05:15 05:30

Author(s):.Usama A. Aburawash Bsmaa M. ELgamudi Muna E. AbdUlhafed

.:. Mr. Usama Wadie Poster EG SAT: 30-12-2017 Hall 01:15 02:45

Author(s):.Usama Wadie Aziz Mousa

.:. Mr. Abdelmohaymen Mohammed Abdulaziz Fawaz Poster EG FRI: 29-12-2017 Hall 01:15 02:45

Author(s):.Abdelmohaymen Mohammed Abdulaziz Fawaz

.:. Dr. M Elsafty Oral EG SAT: 30-12-2017 Hall[A] 08:45 09:00

Author(s):.M. A. Elsafty H. M. Elkhawaga A.M.Kozae




Page Algebra and applications.

71

ALG - 6

EG

Oral - Sec07( 5 )

09:45 : 10:00

��

72

ALG - 7

EG

Oral - Sec11( 1 )

04:00 : 04:15

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73

ALG - 8

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04:15 : 04:30

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74

ALG - 9

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04:30 : 04:45

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75

ALG - 10

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04:45 : 05:00

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76

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05:00 : 05:15

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77

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05:15 : 05:30

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78

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Page Topology & Geometry and Applications

79

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01:15 : 02:45

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80

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08:45 : 09:00

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Page 37 of 158





.:. Prof. Fathi Khedr Oral EG SAT: 30-12-2017 Hall[A] 09:00 09:15

Author(s):.F.H. Khedr S.A. Abd El-Baki M.S. Malfi

.:. Assoc.Prof. Heba Mustafa Oral EG SAT: 30-12-2017 Hall[A] 09:15 09:30

Author(s):.Heba Ibrahim Mustafa

.:. Assoc.Prof. Fawsia Sleim Oral EG SAT: 30-12-2017 Hall[A] 09:30 09:45

Author(s):.Fawsia Sleim

.:. Assoc.Prof. Heba Mustafa Oral EG SAT: 30-12-2017 Hall[A] 09:45 10:00

Author(s):.Heba

.:. Assoc.Prof. Fawsia Sleim Oral EG SAT: 30-12-2017 Hall[A] 04:00 04:15

Author(s):.Fawsia

.:. Dr. Abd El Fattah El Atik Oral EG SAT: 30-12-2017 Hall[A] 04:15 04:30

Author(s):.Abd El Fattah A. El Atik Arafa A. Nasef

.:. Mr. mohammed atef Oral EG SAT: 30-12-2017 Hall[A] 04:30 04:45

Author(s):.Abd El Fattah A. El Atik Mohammed atef

.:. Mr. haytham ashraf Oral EG SAT: 30-12-2017 Hall[A] 04:45 05:00

Author(s):.H. S. Abdel-Aziz M. Khalifa Saad Haytham. A. Ali

.:. Dr. Salah Ali Oral EG SAT: 30-12-2017 Hall[A] 05:00 05:15

Author(s):.Salah Gomma Ahmed Ali Elgendi

.:. Dr. Mohaned Abdalla Oral EG SAT: 30-12-2017 Hall[B] 08:45 09:00

Author(s):.M. Abdalla H. Abd-Elmageedb M. Abul-Ez




Page Topology & Geometry and Applications

81

TGA - 2

EG

Oral - Sec12( 2 )

09:00 : 09:15

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82

TGA - 4

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09:15 : 09:30

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83

TGA - 5

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09:30 : 09:45

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84

TGA - 6

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09:45 : 10:00

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85

TGA - 7

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04:00 : 04:15

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86

TGA - 8

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04:15 : 04:30

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87

TGA - 9

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04:30 : 04:45

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88

TGA - 10

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04:45 : 05:00

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89

TGA - 11

EG

Oral - Sec15( 5 )

05:00 : 05:15

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Page Functional Analysis

90

FUA - 1

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08:45 : 09:00

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.... ...:::: ::::... ....

Page 38 of 158






Author(s):.M. Abdalla


Author(s):.H. ABD-ELMAGEED M. ABUL-EZ Z. KISHKA A. ABDEL RADY

.:. Dr. Sahar Mohamed Ali Abou Bakr Oral EG SAT: 30-12-2017 Hall[B] 09:30 09:45

Author(s):.Sahar Mohamed Ali Abou Bakr

.:. Dr. Hakima BOUHADJERA Poster DZ SAT: 30-12-2017 Hall 01:15 02:45

Author(s):.Hakima BOUHADJERA

.:. Mr. Dhyaa Abdalhassan Mohan Poster EG SAT: 30-12-2017 Hall 01:15 02:45

Author(s):.A. H. Hassan D. A. Mohan

.:. Dr. Taha Yassen Poster EG SAT: 30-12-2017 Hall 01:15 02:45

Author(s):.Mohamed Abdelrahman Ahmed Alaa Kamal Mohamed Taha Ibrahim Yassen Moursy

.:. Dr. Ahmed M. Zidan Poster EG SAT: 30-12-2017 Hall 01:15 02:45

Author(s):.A. M. Zidan M. A. Barakat

.:. Assoc.Prof. Ali Saddeek Oral EG SAT: 30-12-2017 Hall[B] 04:00 04:15

Author(s):.Ali Mohamed Saddeek Sayed Attia Ahmed

.:. Dr. Alaa Hassan Oral EG SAT: 30-12-2017 Hall[B] 04:15 04:30


.:. Dr. Alaa Hassan Oral EG SAT: 30-12-2017 Hall[B] 04:30 04:45






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.:. Dr. S. Al-Tamemy Oral EG SAT: 30-12-2017 Hall[B] 04:45 05:00

Author(s):.Somiah Elzahaby S. Al-Tamemy

.:. Mr. Abdurrahman Abdulhamid Oral NG SAT: 30-12-2017 Hall[C] 08:45 09:00

Author(s):.Abdurrahman Abdulhamid Kabiru Muhammad

.:. Prof. Gamal Elnagar Oral US SAT: 30-12-2017 Hall[C] 09:00 09:15

Author(s):.Gamal N. Elnagar

.:. Mr. Abdurrahman Abdulhamid Oral NG SAT: 30-12-2017 Hall[C] 09:15 09:30

Author(s):.Abdurrahman Abdulhamid Kabiru Muhammad Zahraddeen Abdullahi

.:. Assoc.Prof. Wael Mohammed Oral EG SAT: 30-12-2017 Hall[C] 09:30 09:45

Author(s):.Wael W. Mohammed

.:. Dr. Ahmed El-Deeb Oral EG SAT: 30-12-2017 Hall[C] 09:45 10:00

Author(s):.A. A. El-Deeb

.:. Dr. maha hamed Poster EG SAT: 30-12-2017 Hall 01:15 02:45

Author(s):.Maha Hamed Ibrahim Al-Kalla Mohamed El-Beltagy Beih El-desouky

.:. Dr. Sheren Abd El salam Poster EG SAT: 30-12-2017 Hall 01:15 02:45

Author(s):.Sheren Ahmed Fatma Gaafar

.:. Dr. REZZOUG Imad Poster DZ SAT: 30-12-2017 Hall 01:15 02:45

Author(s):.REZZOUG Imad AYADI Abdelhamid

.:. Assoc.Prof. Usama Abdelsalam Poster EG SAT: 30-12-2017 Hall 01:15 02:45

Author(s):.U.M. Abdelsalam





101

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.:. Ms. Ghada Elmahdy Poster EG SAT: 30-12-2017 Hall 01:15 02:45

Author(s):.Dr. Anas Arafa Ghada Elmahdy

.:. Prof. Fathalla Rihan Oral AE SAT: 30-12-2017 Hall[C] 04:00 04:15

Author(s):.Fathalla A. Rihan

.:. Dr. shaimaa salem Oral EG SAT: 30-12-2017 Hall[C] 04:15 04:30

Author(s):.M. M. A. El-Sheikh R. Sallam S. Salem

.:. Dr. Samah El-kholy Oral EG SAT: 30-12-2017 Hall[C] 04:30 04:45


.:. Dr. Samir Saker Oral EG SAT: 30-12-2017 Hall[C] 04:45 05:00

Author(s):.Sami H. Saker




Page Differential Equation and Applications.

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��: 28-12-2017 �� (01) ( 1 ) 01:15 : 02:45

�� - 1 �� .��. �. �� [email protected]


Cairo, Egypt, 28 – 30 Dec. 2017 Organized by The Egyptian Mathematical Society,

Web Site: http://www.etms-eg.org

Mathematical Physics.

1

115

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A. Mahdy

Department of Mathematics, Faculty of Science, South Valley University, Qena, Egypt

ABSTRACT

The main objective of the present paper is to examine the case of mixed convectionflow due to gyrotactic microorganisms from an isothermal vertical wedge embedded ina porous medium saturated with a nanofluid. In this pioneering study, the simplestpossible boundary conditions are considered, namely those in which the temperature,the nanoparticle fraction and the density of motile microorganisms are constant alongthe wall of the wedge. The benefits of adding motile microorganisms to the suspensioninclude enhanced mass transfer, microscale mixing, and anticipated improved stabilityof the nanofluid. Upon the Oberbeckâ€“Boussinesq approximation and non-similaritytransformation, the nonlinear model equations are obtained and tackled numericallynumerically by using the R.K. Gill and shooting methods to obtain the dimensionlessvelocity, temperature, nanoparticle concentration and density of motilemicroorganisms together with the reduced Nusselt, Sherwood and motilemicroorganism numbers. The bioconvection parameters strongly influence the heat,nanoparticle volume fraction and motile microorganism transport rates. In the absenceof bioconvection, the results are compared with the existing data in the open literatureand found to be in very good agreement.

Code MPH STA NAM DSA CSC ALG TGA FUA DEA

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mounira berrehail , benamira farid

2 Département des Sciences de la matière, Université de Bordj Bou Arreridj Bordj Bou Arreridj 43000, Algeria

Laboratoire de Physique Théorique, Département de Physique, Faculté des Sciences Exactes, Université Constantine 1,

Constantine 25000, Algeria

ABSTRACT

General solution of the one-dimensional Schrödinger equation in presence of a time-dependent linear potential is reconsidered in the context of Lewis-Riesenfeld andunitary transformation approaches. Three invariant operators are constructed aslimiting cases of a general Hermitian quadratic invariant and their instantaneouseigenfunctions are obtained. Then the corresponding solutions of Schrödinger equationfor each invariant operator are derived. These solutions include all known solutions ofthe system. Furthermore, it is shown how different solutions can be related to eachother.


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M.N.M. Allam , R. Tantawy , A. Yousof , A.M. Zenkour

Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt

Department of Mathematics, Faculty of Science, Damietta University, Damietta 34517, Egypt

Department of Mathematics, Faculty of Science, Damietta University, Damietta 34517, Egypt

Department of Mathematics, Faculty of Science, Kafrelsheikh University, Kafrelsheikh 33516, Egypt

ABSTRACT

Analytical and numerical nonlinear solutions for rotating variable-thicknessfunctionally graded solid and annular disks with viscoelastic orthotropic materialproperties are presented by using the method of successive approximations. Variablematerial properties such as Young’s moduli, density and thickness of the disk, are firstintroduced to obtain the governing equation. As a second step, the method ofsuccessive approximations is proposed to get the nonlinear solution of the problem. Inthe third step, the method effective moduli is deduced to reduce the problem to thecorresponding one of a homogeneous but anisotropic material. The results ofviscoelastic stresses and radial displacement are obtained for annular and solid disksof different profiles and graphically illustrated. The calculated results are comparedand the effects due to many parameters are discussed.


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H. M. Barakat , E. M. Nigm , A. H. Syam

Departement of mathematics-faculty of science- zagazig university

Departement of mathematics-faculty of science- zagazig university

Higher Technological Institute 10th of Ramadan city

ABSTRACT

We introduce BKb-fgm type bivariate generalized exponential distribution. Somedistribution properties of concomitants. Of order statistics as well aas record values forthis family are studied. Recurrence. Relations between the momeents of concomitantsare obtained. Some of these recurrence relations were not published before even formorgenestern type bivariate distributions. Morever, most of paper results are extendedTo arbitrary distributions (see remark 3.1)


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A. R. Mohammed. , T. M. El-Shahat

Math. Dept., Faculty of Science, Al-Azhar University, 71524, Assiut, Egypt.

Math. Dept., Faculty of Science, Al-Azhar University, 71524, Assiut, Egypt.

ABSTRACT

We investigate the effect of the long-range interaction (LRI) with an inverse-squarefunction on the thermal entanglement in anisotropic two-qutrit Heisenberg XYZ systemwith Dzyaloshinskii- Moriya (DM) interaction in the presence of the external magnetic eld, using Negativity and Measurement-Induced Disturbance (MID) to quantifyentanglement. The temperature and magnetic eld dependence of the thermalentanglement in this system for this interaction are discussed. Our results indicatethat, when the LRI type interactions exist, there is a rich conduct dependent betweenspins on the interaction strength, temperature, DM interaction and magnetic eld. Inaddition, we conclude that sudden death is displayed at the critical distance of theentangle- ment. We nd that for less than a critical distance there are entanglementplateaus dependent upon the distance between spins. Furthermore it, we will makeobvious comparison between the measurement-induced disturbance (MID) andnegativity for this model. we will discover that MID is more robust than thermalentanglement against temperature T.


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M.N.M. Allam , R. Tantawy , A. Yousof

Mathematics department, Faculty of science, Mansoura University, Mansoura, 35516 Egypt

Mathematics department, Faculty of science, Damietta University, Damietta, 34517 Egypt

Mathematics department, Faculty of science, Damietta University, Damietta, 34517 Egypt

ABSTRACT

a semi-analytical solution for a functionally graded piezoelectric rotating disc withvariable thickness is presented. There are pressure on the boundary surface, uniformdistribution of hygrothermal effect and electric potentials difference between the innerand outer surface. All material properties of the disc assumed to be a function in theradial direction. Some cases of boundary conditions are presented. At last, numericalresults are carried out and discussed. The values used in this study are arbitrarychosen to demonstrate the hygrothermal effect on FGPM with variable thickness.


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Ali F. Abu-Bakr , Andery Yu. Zubarev

Mathematics department, Faculty of Science, Menoufia university, Egypt

Theoretical and Mathematical Phyiscs department, Institute of Natural Science and Mathematics, Ural Federal University

ABSTRACT

Hyperthermia is the method of heating materials with the help of micro- or nano- sizedmagnetic particles embedded in them. The essence of this effect is that the mediumwith particles is placed in an alternating magnetic field. The speed and degree ofheating of the particles can be regulated by the strength and frequency of the appliedfield. Hyperthermia refers to the heating of organs or tissues to temperatures rangingfrom 42°C to 46°C where it causes the death of cancer cells [1,2]. In this work, weemploy an interparticle interaction of magnetic nanoparticles model based on a systemof nonlinear differential equations of rotation equations and stokes equations underthe influence of rotation magnetic field. Computer simulation has been used to solvethis system numerically and investigate of magnetic hyperthermia in the cell of tumor.The results show that the interparticle interaction under rotating magnetic field cansignificantly increase the heat production as compared with the calculations in themodel of the interparticle interaction in linearly oscillating magnetic field. References[1] R.E. Rosensweig. Heating magnetic fluid with alternating magnetic field. Journal ofMagnetism and Magnetic Materials, 252, (2002), Pp. 370–374. [2] A.Yu. Zubarev, L.Iskakova and A.F. Abu-Bakr, Magnetic hyperthermia in solid magnetic colloids, PhysicaA, 467, (2017), Pp. 59–66.


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Mohammed Abdulhameed


ABSTRACT

This problem deals with steady driven pressure flow and heat transfer of electro-magnetohydrodynamic micro-pump of third grade fluids between two micro-parallelplates embedded in a porous medium. The effect of thermal radiation and electro-kinetic have been taken into account. The flow forced by the Lorentz force, produced bythe interaction of a vertical magnetic field and an externally horizontal imposedelectrical field, is assumed to be unidirectional and one dimensional. Based upon thevelocity field, the thermally fully developed heat transfer with radiation effect areanalyzed by taking the viscous dissipation, the volumetric heat generation due to Jouleheating effect and electromagnetic couple effect into account. Analytical solutionscorresponding to the fluid velocity and temperature distribution are obtained in seriesforms, in the assumption that the non-Newtonian viscoelastic parameter has smallvalues. The effects of permeability of the porous medium K, the dimensionlesselectrical strength parameter H, Hartmann number Ha, non-Newtonian parameterLamda, constant pressure P, thermal radiation Nr and non-dimensional parameterBrinkman number gamma1 on the velocity and temperature are investigatedgraphically and discussed in detail.


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Mohammed Salisu Chimo , Mohammed Abdulhameed , Sagir Mahmud Abdullahi


Federal Polytechnic Bauchi


ABSTRACT

This problem deals with the influence of chemically reactive Rivlin-Ericksenviscoelastic fluid in a circular tube with no thermal convection. The fluid starts heatgeneration because of its reactive nature of chemically viscoelastic fluid which set upfree convection currents inside the tube. The governing equations are modelled usingthe fully developed flow conditions. Analytical algorithm based on the modefiedhomotopy perturbation method (HPM), incorporating the He's polynomial andcombined with the Laplace transform is implemented in time and space with thesecond grade constitutive model for the viscoelastic liquids. Explicit analyticalexpressions for the transient state as well as the steady state for velocity field andtemperature field have been derived. These solutions are written as the sum betweenthe permanent solutions and the transient solutions. The algorithm is validated againstthe classical solution of this problem for reactive viscous fluid results. The nature ofthe wall shear stress and Nusselt number engendered due to the flow are determined.The results also indicate that it takes longer to attain steady-state in the case of moltenpolymer than water and air.


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��

Dr. Abdulsalam Ya'u Gital

Abubakar Tafawa Balewa University Bauchi, Nigeria

ABSTRACT

In this paper, based on the applications of nanoparticle, the blood flow along withnanoparticles through stenosed artery is studied. The blood is acted by periodic bodyacceleration, an oscillating pressure gradient and an external magnetic field. Themathematical formulation is based on Caputo-Fabrizio fractional derivative withoutsingular kernel. The model of ordinary blood, corresponding to time-derivatives ofinteger order, is obtained as a limiting case. Analytical solutions of the blood velocityand temperature distribution are obtained by means of the Hankel and Laplacetransforms. Effects of the order of Caputo-Fabrizio time-fractional derivatives andthree different nanoparticles i.e. , and are studied. The results highlights that, modelswith fractional derivatives bring significant differences compared to the ordinarymodel. It is observed that the addition of nanoparticle reduced the resistanceimpedance of the blood flow and temperature distribution through bell shape stenosedarteries as compared to and nanoparticles. On entering in the stenosed area, bloodtemperature increases slightly, but, increases considerably and reaches its maximumvalue in the stenosis throat. The shears stress has variation from a constant in the areawithout stenosis and higher in the layers located far to the longitudinal axis of theartery. This fact can be an important for some clinical applications in therapeuticprocedures


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��

Abdallah A. Nahla , M.M.A. Ahmed

Department of Mathematics, Faculty of Science, Tanta University, Egypt.

Department of Mathematics, Faculty of Science, Al-Azhar University, Egypt.

ABSTRACT

A model of the asymmetric two two-level atoms interacting with the SU(1,1) quantumsystem is presented. The rotating wave approximation (RWA) and the atom-atominteraction are considered in the Hamiltonian operator. The time-dependent wavefunction for asymmetric case is obtained analytically via solving the Schrodingerequation. Initially, the SU(1,1) quantum system prepared in the Perelemov coherentstate and two atoms are in superposition states. Therefore, the atomic populationinversion is obtained and discussed for different values of model parameters such asinitial atomic angles, Perelomov coherent parameter, the Bargmann index and thedetuning parameters. We note that the quantum system is sensitive to the variation inboth the Perelomov coherent parameter and the Bargmann index. Moreover, there arenon-classical characteristics of the proposed system in the presence the detuningparameters.


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Sara Abdelsalam , Muhammed Bhatti

The British University in Egypt

Shanghai University

ABSTRACT

In this article, we have studied the variable magnetic field and endoscope effects onperistaltic blood flow of nanofluid containing TiO2 nanoparticles through a porousannulus. The Prandtl fluid model is taken into account for the present flow. Themathematical modeling comprises the temperature, continuity, nanoparticleconcentration, and equations of motion which are further simplified by taking a longperistaltic wave and creeping flow regime. The obtained highly nonlinear partialdifferential equations are solved using homotopy perturbation scheme. The inclusion ofthe pertinent parameters is discussed mathematically and graphically for the pressurerise, friction forces, temperature profile, and concentration profile. The trappingphenomenon is also investigated with the help of contours. Results show that themaximum velocity distribution exists near the centre of the annulus, whereas theaverage time flow boosts the velocity profile.


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M. Abu-Shady , T. A. Abdel-Karim , E. M. Khokha

Department of Mathematics, Faculty of Science, Menoufia University, Shebin El- Kom Egypt

Department of Mathematics, Faculty of Science, Menoufia University, Shebin El- Kom Egypt

Department of Basic Science, Modern Academy for Engineering and Technology, Cairo, Egypt

ABSTRACT

The exact solution of N- dimensional radial Schrödinger equation with the modifiedextended Cornell potential has been obtained using the Laplace transform (LT)method. The energy eigenvalues and the corresponding wave functions for any statehave been determined. The eigenvalues for some special cases of the modified extendedCornell potential have been derived. We have investigated the present results tocalculate the mass spectra of heavy quarkonium systems such as charmonium,bottomonium and the meson in comparison with the experimental data and with theother studies. The present results have been improved in comparison with other recentstudies and have shown a good agreement with the experimental data.


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Nasser Metwally

Math. Dept., college of Science, P. O. Box 32038 Kingdom of Bahrain, University of Bahrain

ABSTRACT

The quantum Fisher information of an accelerated two qubit system is discussed,where the analytical solution which consists of three different parts is derived. Weshow that, the Unruh acceleration has a depleting effect on the Fisher information.This depletion depends on the degree of entanglement of the initial state settings.Fisher information is employed to estimate the states' parameters. Although theprecision of estimating the state's parameters decreases as the acceleration increases, itcan be maximized at certain values of the Unruh acceleration. Moreover, thecontribution of the three different parts on the total Fisher information is investigated.Additionally, quantum Fisher information is introduced as a measure of estimating thequantity of the teleported information between two users, where only one of them isaccelerated. The estimation degree depends on Unruh acceleration, the used singlemode approximation (within/beyond), the type of encoded information(classic/quantum) in the teleported state, and the entanglement of the initialcommunication channel. The estimation degree of the parameters can be maximized ifthe partners teleport classical information.


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��

A. Mahdy

Mathematics Departement, Faculty of Science, South Valley University

ABSTRACT

An exploring of the state of mixed convection flow due to an isothermal vertical wedgesubmersed in saturated porous medium utilize Buongiorno’s nanofluid paradigm is themaster intention of our research. In this pioneering investigation, Buongiorno’snanofluid model that comprises the effects of both of Brownian motion andthermophoresis is employed. The paradigm takes regard the case when the nanofluidparticle fraction on the boundary layer is passively rather than actively controlled. Thewall of the wedge is submersed in a uniform porous medium and the convectiveboundary condition has been employed over the wedge wall. Upon the Oberbeck–Boussinesq approximation and non-similarity transformation, the nonlinear setequations are obtained and tackled numerically by using the R.K. Gill and shootingmethod. A parametric study of the entire flow regime is procured to clarify the effectsof the controlled parameters such as: wedge angle parameter ( ), buoyancy ratioparameter ( ), mixed convection parameter ( ), Biot number ( ), Brownian motionparameter ( ), thermophoresis parameter ( ) and Lewies number ( ); the results arelikened with the available data in the open literature and detected to be in very goodharmonizing. The eminent lineaments of the achieved outcome have been construedand depicted.


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��-�� -��

Tarek M. Elshahat

Department of Mathematics, Faculty of Science, Al-Azhar University, Assiut, Egypt

ABSTRACT

In this paper, we study the interaction between a Four-level atom and a quantizedsingle-mode field with "intensity-dependent coupling" involving two-photon processesin a "Kerr medium". The Four-level atom is considered to be in a $\lambda$-typeconfiguration. Using the generalized (nonlinear) Jaynes-Cummings model, the exactanalytical solution of the wave function for the considered system under particularcondition, has been obtained when the atom is initially in the superposition state andthe field is in a coherent state. By using some particular condition, the $\lambda$-typeFour-level reduced to $\Xi$-type three level atom, Then, we study the amount ofentanglement of the generated entangled states using the field entropy,purity andFidelity. Moreover, we evaluate a few of their non-classical properties such asmomentum increment, momentum diffusion, Mandel $Q$-parameter, mean photonnumber, Normal squeezing and establish their non-classicality features.


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��

Kh. S. Mekheimer , R. E. Abo-Elkhair , A. M. A. Moawad

Mathematical Department, Faculty of Science, Al-Azhar University, Nasr City 11884, Cairo, Egypt



ABSTRACT

Most of the bio-fluids are non-Newtonian fluid with complex flow behavior, forinstances the human blood and DNA sample are shear thinning fluids (Jeffery model).The Electrokinetic transport of such fluids by micro-peristaltic pumping has beeninterested in biomedical engineering and other of medical technology. This kind offluid transport requires more elegant mathematical models and numerical simulations.Motivated by these developments, the present article analyzed the simultaneous effectsof an electric double layer and a transverse magnetic field on peristaltic transport ofJeffrey fluid as blood flow model. We select it as a constitutive relation to describeelectroosmotic flow located in the gap between two coaxial horizontal pipes. Under lowReynolds number, long wavelength and Debye linearization approximations, thePoisson- Boltzmann equation together with the governing partial differential equationsfor mass and momentum are derived with appropriate boundary conditions. Theexpressions for electric potential, stream function, axial velocity, shear wall stress, andaxial pressure gradient have been obtained. Pressure rise and frictional force perwavelength have been evaluated numerically and discussed briefly. Our computationalevidence that the electric potential is an increasing function of the thickness of theelectrical double layer (EDL). Also, axial flow is accelerated with the adding electricfield and decelerated with opposing electric field. Finally, bolus size is reduced as theaxial external electric field change its direction from adding to opposing direction.


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�� , ��

Shaimaa F. Ramadan

Al-Azhar University

ABSTRACT

In the present analysis we have discussed the effects of heat absorption, chemicalreaction and wall properties on peristaltic flow of micropolar nanofluid through aporous medium. The fundamental equations of the motion are first modulated andthen simplified under the assumptions of long wavelength and low Reynolds number.The exact solutions have been calculated for the velocity and the microrotation velocity,while the governing equations of energy and nanoparticles equations are solvedanalytically using homotopy perturbation method. In the end, graphical results arediscussed to illustrate the effects of various physical parameters of the problem onthese distributions.


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Aly M. Abourabia , Amany Z. Elgarawany

Department of Mathematics-Faculty of Science-Menoufiya University. Shebin-El kom 32511.Egypt

Department of Computer Science-Higher Institute Of Computer and Management Sciences-Integrated Thebes Institutes-1st

Maadi Corniche, Cairo 11434.Egypt

ABSTRACT

We follow theoretically the motion of the sodium atoms in vapor state under theinfluence of a laser mode in (1 + 1) D, which is achieved via different optical filters. Inthe Dirac interaction representation, the equations of motion are represented via theBloch form, together with the Pauli operators to find the elements of the density matrixof the system. The immergence of the principle of coherence in varying the angles ofthe laser mode, permits to evaluate the average force affecting the atoms accelerationor deceleration, accordingly the corresponding velocities and temperatures areinvestigated. The atomic vapor is introduced in a region occupied by a heat bathpresented by the laser field, such that the state of the atomic vapor is unstable insidethe system due to the loss or gain of its kinetic energy to or from the laser field. Thisinstability is studied through finding the eigenvalues of the system's entropy. Resortingto the assumption of Boten, Kazantsev and Pusep, who issued a coupling between themean numbers of photons in terms of time, allows the evaluation of the rate of entropyproduction of the system under study. A set of figures illustrating the dynamics of theproblem is presented.


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Hamad M. YEHIA

Department of Mathematics, Faculty of Science, Mansoura University, Mansoura, Egypt

ABSTRACT

It is commonly believed that Lagrangian and Hamiltonian equations for a givenmechanical system are equivalent. We show that, even in case of mathematicalequivalence, the Lagrangian description has certain advantages. This is related to thefact that in a given set of generalized coordinates, Lagrange’s equations are unique,although the Lagrangian itself is not unique, due to possible gauge transformations. Onthe other hand, neither the Hamiltonian nor Hamilton’s equations are unique for agiven mechanical system. This difference is essential in inverse problems of physicalimportance, when integrable Hamiltonians are constructed from the solution of anintegrability requirement. Physical characteristics of the system are mostly disguised inthe Hamiltonian form. Examples are given from dynamics of a 3-D system with asymmetry, involving a particle or a rigid body about a fixed point.


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A. K. Abu-Nab , S. A. Mohammadein

Mathematics Department, Faculty of science, Menoufia University, Shebin El-Koom Egypt

Mathematics Department, Faculty of science, Tanta University, Tanta, Egypt

ABSTRACT

The concentration distribution around growing gas bubble in the blood and bio tissuesof divers who ascend to surface too quickly is obtained by Mohammadein andMohamed model [12] for variant and constant ambient pressure through thedecompression process. The mathematical model describing this problem consists offour main equations: mass, convective diffusion, Fick's and Laplace’s equations. Themathematical model is solved analytically to obtain the concentration distributionaround a growing gas bubble in biotissues. The growth of gas bubble is affected byinitial concentration difference ∆C_0, diffusivity of gas in tissue , the constant K_d atdecompression, surface tension , initial void fraction . The relation between the growthof gas bubble and time is obtained from the definition of the concentration distributionaround a growing gas bubble in biotissues. The relation between the growth of gasbubble and time is studied under the effect of two different values of initial voidfraction , critical bubble radius . The present model is compared with Mohammadeinand Mohammed model [12].


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��

Mahmoud-SifedDin A. Taha , Muhammad H. El-Sabaa , Aladin H. Kamel

Faculty of Engineering, Ain Shams University, Cairo, Egypt



ABSTRACT

Many-electron solution to Schrodinger Equation is hard to be put in closed form interms of single-electron solution. Many perturbation theories and methods, includingLinked Cluster by Sinanoglu and Coupled Cluster by Cizek, aimed to formulate a meansto such a solution. Mostly spinless electrons were addressed by these methods at firstto simplify the problem. Using the simplest form of Configuration Interaction andBrillouin-Wigner Perturbation Theory we present a formulated method forconstructing the many-electron solution to Pauli-Schrodinger Equation. Spatial andSpin symmetry and asymmetry variation are addressed here. New Physics-relying andMathematics-simplifying concepts are proposed here to provide a viable finite Energywavefunction tracing. Silicon valance electron states are presented as an application ofour theoretical formulation.


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3� ��

Mahmoud-SifedDin A. Taha , Muhammad H. El-Sabaa , Aladin H. Kamel




ABSTRACT

The number of allowed states within the range of energy permitted for the Electronsand the Phonons per unit volume, typically known as Density of States Functions, is animportant parameter for electrons out of their Thermal Equilibrium. Usually thesefunctions are needed for current calculation along the energy range but the particleenergy are modeled against the inverse space wave vector. Numerical Methoddepending on contour tracing of particle energy in the 1st Brillouin Zone is presentedhere. Comparison to approximate formula based on the effective mass of electrons inSilicon is shown. These functions are essential mathematical component to our Full-band Monte Carlo Method for bulk and device conductivity that is presented elsewhere.


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M. K. Ismail , T. M. El-Shahat , A.-S. F. Obada

Department of Mathematics, Faculty of Science, Al-Azhar University, Assiut, Egypt.

Department of Mathematics, Faculty of Science, Al-Azhar University, Assiut, Egypt.

Department of Mathematics, Faculty of Science, Al-Azhar University, Cairo, Egypt

ABSTRACT

The system of two Λ-type three-level atoms and a quantized single-mode cavity fieldwas proposed, where the Hamiltonian of the field is performed based on the Caldirola-Kanai damping Hamiltonian. An analytical description of such system was presented.Some of nonclassical features of such system were discussed, such as quantumentanglement, sub-Poissonian statistics and Quadrature fluctuation. Here, the effects ofdamping parameter, initial atomic states on the evolution of Linear entropy and thenonclassical features were considered for such system. In addition, some of quantumproperties was studied via Mandel parameter. It was found that the dampingparameter and initial atomic states play central roles in the evolution of the Linearentropy and nonclassicality evolution of the particle.


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Mathematical Statistics.

25

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Manmath Haridasrao Lohgaonkar , Vijay Narkhede

Shri Chhatrapati Shivaji College Shrigonda, India

Joint Director, Higher Education Pune, India

ABSTRACT

The aim of this paper is to develop a new concept of optimization technique usingAtanassov’s intuitionistic fuzzy sets (IFS), to solve multi-objective transportationproblem. It refers to a special class of vector minimum linear programing problem inwhich the constraints are of equality type and all the objectives are conflict with eachother. All the methods either generate a set of non-dominated solutions or find acompromise solution. In this paper, we use a special type of linear and non-linearmembership functions to solve the multi-objective transportation problem. It gives anoptimal compromise solution. In addition, numerical example is also presented toillustrate the methodology.


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��

H. M. Barakat , O. M. Khaled , N. Khalil. Rakha

Dept. of Math. Faculty of Sci. Zagazig University, Zagazig, Egypt.

Dept. of Math., Faculty of Sci. Port said University, Port Said, Egypt.

Physics and Engineering Math. Dep., Faculty of Engineering, Port Said University, Port Said, Egypt.

ABSTRACT

In this paper we introduce a new method to add two shape parameters to any baselinebivariate distribution function (df) to get a more felixable generalized family of thebivariate df'. Through the additional parameters we can fully control the type (bycontrolling the skewness and kurtosis) of the resulting family. This method is appliedto yield a new two-parameter extension of the bivariate standard normal distribution.The statistical properties of this family is studied. Moreover, we compared this familywith some competitors important generalized families of bivariate df's. To motivate theuse of the new suggested family, we present a successful example of real data,concerning the air pollution.


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H. M. Barakat , A. W. Aboutahoun , N. N. El-kadar

Department of Mathematics-Faculty of Science-Zagazig University-Zagazig-Egypt.

Faculty of Science, Alexandria University, Alexandria, Egypt

Current address: Faculty of Science, Alexandria University, Alexandria, Egypt- Permenant address: Department of Statistics

Faculty of Science- Benghazi University-Benghazi-Libya

ABSTRACT

The stable symmetric family of distribution functions (df’s) is a family that contains thereverse of every df belonging to it. It is revealed that this family is capable of describingmany types of statistical data. We show that the mixture of the skew normaldistribution and its reverse, after adding a location parameter to the skew normaldistribution, and adding the same location parameter with different sign to its reverse,is stable symmetric family that contains all the possible types of df’s and it has a veryremarkable wide range of the indices of skewness and kurtosis. To motivate the use ofthe new suggested family, we present a successful example of real data.


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Rashad M. EL-Sagheer

Mathematics Department, Faculty of Science, A1-Azhar University, Nasr-City (11884), Cairo, Egypt

ABSTRACT

In this article, based on progressively type-II censored schemes under step-stresspartially accelerated life test model, the maximum likelihood, Bayes, and twoparametric bootstrap methods are used for estimating the unknown parameters of theKumaraswamy inverse Weibull distribution and the acceleration factor. Asymptoticconfidence interval estimates of the model parameters and the acceleration factor arealso evaluated by using Fisher information matrix. The classical Bayes estimatorscannot be obtained in explicit form, so Markov chain Monte Carlo method is used totackle this problem, which allows us to construct the credible interval of the involvedparameters. Finally, analysis of a simulated data set has been also presented forillustrative purposes.


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Ahmed Mohamed Mohamed El-Sayed

High Institute for Specific Studies Department of Management Information Systems Nazlet Al-Batran, Giza, Egypt.

ABSTRACT

Missing data have occurred in longitudinal studies. Missing data may reduce theperformance of confidence intervals, reduce statistical power and increase thestandard errors. This paper provides a new model for arising the effect of missing data,which are considered also as correlated binary data, on the correlated binary variables.Depending on serial dependence, we formulate the model using Markov properties forthe correlated missing data. The alternative quadratic exponential form are employedfor the correlated binary variables. The logit functions are used for modeling themissing data. The vectorized generalized linear models have used with five cases ofcorrelated missing data associated with covariates. The simulation study isinvestigated, using "bindata" and "VGAM" packages in R program, to indicate the effectof missing data on the regression model comparing with the model without missingdata.


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Prof. A. H. Abd Ellah

Al Baha University, Faculty of Science, Mathematics Department, Al Baha, P.O. Box.(1988), KSA.

ABSTRACT

In these paper we use new applications to evaluate prediction intervals. In this article,we study the problem of predicting future records (two-sample prediction) based onprogressive type-II censoring with random removals, were the number of unitsremoved at each failure time has a discrete binomial distribution. We use the Bayesprocedure to derive both point and interval bounds Prediction. Bayesian pointprediction under symmetric and symmetric loss functions are discussed. The maximumlikelihood (ML) prediction intervals using "plug-in" procedure for future records arederived. An example is discussed to illustrate the application of the results under thiscensoring scheme.


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�� ’ �� (��) �� (��) �� ,

��

Hamisu Idi , Adamu Abubakar



ABSTRACT

This paper describes the prevailing academic scenarios of senior secondary schools inBauchi state with special references to students’ poor performance in mathematics. Theresearch instruments used to collect data was the questionnaire which had both closeended and open ended questions. Correlation and regression analyses were used andanalyzed the data. Investigation of prevailing education scenario revealed widevariations of academic environment, managerial statuses of the school (school-basedfactors), teacher-related factors as well as students' related factors seem to be majorfactors influencing academic performance as they were found out to be positivelycorrelated with students' poor performance. These include students' negative attitudetoward mathematics, fear and anxiety of mathematics, inadequately qualified teachers,poor teaching methods, inadequate teaching materials, and inadequate supervision ofteachers by the authority, overcrowded classes were some of the causes of poorperformance in mathematics in the study area. The study also revealed that studentsattributed their failure mainly to lack of material resources, poor teaching methods,bad teacher behavior and poor grounding in the subject at lower levels as well as theirfear of the subject. It is anticipated that the findings of this study will give curriculumdevelopers new insights into emerging issues on performance and influence theMinistry of Education on policy formulation. The Ministry of Education should embarkon serious in-service training for mathematics teachers, frequent supervision, andinspection by proper authorities.


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Hazem Al-Mofleh


ABSTRACT

In this paper, a new four-parameter univariate continuous distribution called theNormal-Generalized hyperbolic secant distribution (NGHS) is defined and studied.Some general and structural distributional properties are investigated and discussed,including: central and non-central n-th moments and incomplete moments, quantileand generating functions, hazard function, Renyi and Shannon entropies, shapes:skewed right, skewed left, and symmetric, modality regions: unimodal and bimodal,maximum likelihood (MLE) estimators for the parameters. Finally, two real data setsare used to demonstrate empirically its flexibility and prove the strength of the newdistribution.


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�� : ��

Mahmoud Ragab

Mathematics Department, Faculty of Science, Al Azhar University, Nasr City,11884 Cairo, Egypt

ABSTRACT

Sorting data is one of the most important problems that play an important rule inmany applications in operations research and computer science. Many sortingalgorithms are well studied but the problem is not to find a way or algorithm to sortelements, but to find an efficiently way to sort elements. The output is a stream of datain time. We are interested in this flow of data. For the performance of such algorithms,there has been little research on their stochastic behavior and mathematical properties.In this paper we study the mathematical behavior of some different versions sortingalgorithms. We also discuss the corresponding running time using some differentstrategies.


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115

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HEMANT UMAP

Yashavantrao Chavan Institute of Science, Satara.(M.S.), India.

ABSTRACT

In this paper the total cost and optimum order quantity are obtained in fuzzy sense fordeteriorating items and especially considering demand being dependent on sellingprice and frequency of advertisement. Function principle method is used fordefuzzification. Also the median rule is applied to find the optimum Economic OrderQuantity [EOQ] and shortage quantity. Solution procedure is illustrated by a numericalexample. The sensitivity analysis of the optimum solution with respect to the changesin the different parameter values is also discussed.


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�� ,

��

H. M. Barakat , O. M. Khaled , N. Khalil. Rakha

Dept. of Math. Faculty of Sci. Zagazig University, Zagazig, Egypt.

Dept. of Math., Faculty of Sci. Port said University, Port Said, Egypt.

Physics and Engineering Math. Dep., Faculty of Engineering, Port Said University, Port Said, Egypt.

ABSTRACT

In this paper we introduce a new method to add two shape parameters to any baselinebivariate distribution function (df) to get a more felixable family of bivariate df's.Through the additional parameters we can fully control the type of the resulting family.This method is applied to yield a new two-parameter extension of the bivariatestandard normal distribution, denoted by BSSN. The statistical properties of the BSSNfamily are studied. Moreover, via a mixture of the BSSN family and the standardbivariate logistic df, we get a more capable family, denoted by FBSSN. Theoretically,each of the marginals of the FBSSN contains all the possible types of df's and possessesvery wide range of the indices of skewness and kurtosis. Finally, we compare thefamilies BSSN and FBSSN with some competitors important generalized families ofbivariate df's via real data examples.


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��: ��

Ayman M. Abd-Elrahman

Department of Mathematics, Faculty of Science, Assiut University, 71516 Assiut, Egypt.

ABSTRACT

The main object of this article is the estimation of the unknown population parametersand reliability function for the generalized Bilal model under Type-II censored data.Both maximum likelihood and Bayesian estimates are considered. In the Bayesianframework, although we have discussed mainly the squared loss function, any otherloss function can easily be considered. A Gibb’s sampling procedure is used to drawMarkov Chain Monte Carlo (MCMC) samples, which have been used to compute theBayes estimates and also to construct their corresponding credible intervals with thehelp of two different importance sampling techniques. A simulation study is carried outto examine the accuracy of the resulting Bayesian estimators and compare them withthe corresponding maximum likelihood estimates. Application to a real data set isconsidered for the sake of illustration.


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Hazem Al-Mofleh , M. Elgarhy , Ahmed Z. Afify


Department of Mathematical Statistics, Burraydah colleges, Qassim, KSA. Institute of Statistical Studies and Research (ISSR),

Department of Mathematical Statistics, Cairo University, Cairo, Egypt.

Department of Statistics, Mathematics and Insurance, Benha University, Egypt.

ABSTRACT

A new family of distributions called type II exponentiated half logistic is introduced andstudied. Four new special models are presented. Some mathematical properties of thenew family are studied. Explicit expressions for the moments, probability weightedmoments, quantile function, mean deviation, order statistics and Rényi entropy areinvestigated. Parameter estimation of the family are obtained based on maximumlikelihood procedure. Two real data sets are employed to show the usefulness of thenew family.


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Mohamed A. W. Mahmoud , Rashad M. EL-Sagheer , Amr M. Abou-Senna

Mathematics Department, Faculty of Science, Al-Azhar University, Nasr City (11884), Cairo, Egypt

Mathematics Department, Faculty of Science, Al-Azhar University, Nasr City (11884), Cairo, Egypt

Mathematics Department, Faculty of Engineering, Shoubra, Benha University, Cairo, Egypt

ABSTRACT

Accelerated life testing is very important in life testing experiments because it savestime and cost. In this paper, assuming that the lifetime of each item under normalcondition follows the modified-Weilbull distribution, partially accelerated life testsbased on progressive Type-II censored samples are considered. The likelihoodequations are to be solved numerically to obtain the maximum likelihood estimates.Based on normal approximation to the asymptotic distribution of maximum likelihoodestimates, the approximate confidence intervals for the parameters are derived. It isdifficult to get explicit form for Bayes estimates, so Markov chain Monte Carlo methodis used to solve this problem, which gives us flexibility to construct the credibleintervals the for the parameters. Lindley approximation is also being discussed toobtain Bayes estimators. Finally, an illustrative example and simulation studies arebeing considered.


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��

H. M. Barakat , E. M. Nigm , M.A. Alawady , I. A. Husseiny

Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, Egypt




ABSTRACT

We introduce the successive iterations in the original FGM type bivariate-generalizedexponential distribution. Some distributional properties of concomitants of order s-tatistics as well as record values for this family are studied. Recurrence relationsbetween single as well as product moments of concomitants are obtained.


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H.M.Barakat , E.M.Nigm , E. O. Abo Zaid

Professor of Mathematical Statistics Zagazig University Faculty of Science Mathematics Department

Professor of Mathematical Statistics Zagazig University Faculty of Science Mathematics Department

Assistant Professor -High Institute of Engineering and Technology Zagazig

ABSTRACT

In this article we study the limit distribution of the record values under non- linearnormalization which have called as exponential norming. The corresponding limit lawsare called as e-max stable laws. Moreover, we will study the domain of attractioncriteria for these types of limit laws.


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A.M.K Tarabia , Ali H.El Baz , Abdulaziz M. Darwiesh

Mathematics Department-Faculty of Science-Damietta University-Egypt



ABSTRACT

In this paper, we consider a fluid queue with an infinite buffer capacity which is bothfilled and depleted by fluid at constant rats. These rats are uniquely determined by thenumber of customers in an M/M/1/N queue with constants arrival and service rates. Analternative approach to obtain analytical expression for the joint stationary distributionof the buffer level and the state of M/M/1/N queue is given. Through our approach weobtain the determinant of a tridiagonal matrix in terms of the roots of Chebychev'spolynomial of second kind. Moreover, we illustrate the effectiveness of the derivedformula through graphs and numerical discussion.


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��

Saralees Nadarajah , Alaa H. Abdel-Hamid , Atef F. Hashem

aSchool of Mathematics, University of Manchester, Manchester

Faculty of Science, Beni-Suef University

Faculty of Science, Beni-Suef University

ABSTRACT

A new distribution called geometric-Poisson-Rayleigh distribution is proposed based onfailures of a parallel-series system. Some properties of the distribution are discussed. Areal data set is used to compare the new distribution with other six distributions. Theprogressive-stress accelerated life tests are considered when the lifetime of an itemunder use condition is assumed to follow the new distribution. It is assumed that itsscale parameter satisfies the inverse power law such that the stress is a non-linearincreasing function of time and the cumulative exposure model for the effect ofchanging stress holds. Based on type-I progressive hybrid censoring with binomialremovals, the maximum likelihood and Bayes (using linear-exponential and generalentropy loss functions) estimation methods are considered to estimate the involvedparameters. The Bayes estimates are obtained using Markov chain Monte Carloalgorithm. Finally, a simulation study is performed and numerical computations arecarried out to compare the performance of the implemented estimation methods


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Numerical Analysis Methods and Applications.

43

115

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��

Bothina Elsobky , Yousria Abo-Elnaga

Department of Mathematics, Faculty of Science, Alexandria University, Egypt.

Department of basic science, Higher Technological Institute, Tenth of Ramadan City , Egypt

ABSTRACT

We present a penalty method with trust-region technique for nonlinear bileveloptimization problem in this paper. This method follows Dennis, El-Alem, andWilliamson active set idea and penalty method to transform the nonlinear bileveloptimization problem to unconstrained optimization problem. This method maybesimpler than similar ideas and it does not need to compute a base of the null space. Atrust-region technique is used to globalize the algorithm. Global convergence theoremis presented and applications to mathematical programs with equilibrium constraintsare given.


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� �� -��

Bothina Elsobky , Yousria Abo-Elnaga

Department of Mathematics and Computer Science, Faculty of Science, Alexandria University, Egypt.

Department of basic science, Higher Technological Institute, Tenth of Ramadan City , Egypt

ABSTRACT

In this paper, a reduced interior-point algorithm is introduced to generate a Paretooptimal front for multi-objective constrained optimization (MOCP) problem. Aweighted Tchebychev metric (WTM) approach is used together with achievementsecularizing function approach to convert (MOCP) problem to a single-objectiveconstrained optimization(SOCO) problem. An active-set technique is used together witha Coleman-Li scaling matrix to find the solution of (SOCO)problem. A decreaseinterior-point method is used to compute Newton’s step by solving a smaller dimensionsystem. A Matlab implementation of the proposed algorithm was used to solve threecases and application. The results showed that the algorithm out perform some existingmethods in literature. The results, by using our suggested approach to benchmarkproblems are promising when compared with well-known algorithms. Also, ouroutcomes recommend that our calculation may be superior relevant forcomprehending real-world application problems.


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�∞–��

��

HAIOUR MOHAMED , Salah Boulaaras , Mohamed Amine Bencheikh Le Hocine

LANOS Laboratory, Department of Mathematics, Faculty of Sciences, Badji Mokhtar University, Annaba, Algeria

Department of Mathematics, Colleague of Science and Arts, Al-Ras, Al-Qassim University, Kingdom Of Saudi Arabia

Department of Mathematics and Computer Science, Tamanghesset University Center, Sersouf, Tamanghesset , Algeria;

ABSTRACT

In this paper, a system of parabolic quasi-variational inequalities relevant to themanagement of energy production with mixed boundary condition was consideredwhere a quasi-optimal of error estimate on uniform norm was proved, by using thetascheme combined with Galerkin method. Furthermore, an asymptotic behavior resultin the same norm was proved. Taking into consideration the discrete stabilityproperties.


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Kabiru Muhammad , Abdurrahman Abdulhamid


Department of Statistics, Kano State Polytechnic, Kano Nigeria


ABSTRACT

Abstract: In this paper an analysis on the performance of two modified Broydenmethod is presented: Broyden – like Method (BLM) and Trapezoidal Broyden Method(TBM) . Four test problems with standard initial points were used to compare theperformance of the two methods in terms of CPU time and Number of Iterations.Numerical results have shown that there is little difference between the two methods interms of Number of Iterations. Further analysis using performance indices has alsoshown that TBM is superior to BLM in terms of CPU time.


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Tamer Heshmat Mohamed Aly Kasem

Cairo University, Faculty of Engineering

ABSTRACT

A new smoothness indicator (SI) for the high order weighted essentially non oscillatory(WENO) method is introduced. The new SI formula is based on undivided differences(UD), but they improve the original UD WENO scheme by keeping the formal order ofaccuracy. The new algorithm is tested and compared with the classical WENOalgorithm based on total variations. The advantages of the new scheme are clarified.


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Nasser Hassan Sweilam , Seham AL-Mekhlai , Anan O. Albalawi

Department of Mathematics, Faculty of Science, Cairo University, Giza, Egypt

Department of Mathematics, Faculty of Education, Sana'a University, Sana'a, Yemen.

Department of Mathematics, Faculty of Science, Shaqra University, Riyadh, Saudi Arabia

ABSTRACT

In this talk, Different numerical techniques are used to study the general nonlinearKlein-Gordon Model. Integer, Fractional, and variable order Klein-Gordon models areintroduced. The nonstandard weighted average finite difference method is used tostudy the proposed model problems. The stability condition and the error estimates ofthe proposed method are presented. Comparative studies are done. The numericalresults are compared with both the explicit standard finite difference method and thenonstandard finite difference method. It is found that the stability regions are biggerusing the nonstandard weighted average finite difference method.


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Youssri H. Youssri , Waleed M. Abd-Elhameed

Department of Mathematics, Faculty of Science, Cairo University, Giza-Egypt

Department of Mathematics, Faculty of Science, Cairo University, Giza-Egypt

ABSTRACT

This paper is dedicated to analyzing and presenting an efficient numerical algorithmfor solving a class of fractional optimal control problems (FOCPs). The basic ideabehind the suggested algorithm is based on transforming the FOCP under investigationinto a coupled system of fractional-order differential equations whose solutions can beexpanded in terms of the Jacobi basis. With the aid of the spectral-tau method, theproblem can be reduced into a system of algebraic equations which can be solved viaany suitable solver. Some illustrative examples and comparisons are presented aimingto demonstrate the accuracy, applicability, and efficiency of the proposed algorithm.


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احمد الرفاعي فتحي النحراوي

وزاره الشئون االجتماعیھ

ABSTRACT

مشكلھ صعوبات التعلم یمكن لبعض المسائل في التحلیل العددي أن تحل بشكل دقیق عن طریق خوارزمیة ما ویسمى ھذا النوع منالخوارزمیات "طرقا مباشرة" : مثالھا االختصار الغاوسي لحل جمل المعادالت الخطیة وطریقة التبسیط (طریقة سیمبلكس) في البرمجةالخطیة. وھناك ظاھره كبیره في صعوبات التعلم الریاضیھ


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E.A.Youness , N.A.El-Kholy , H.A.Eldidamony

Faculty of Science, Tanta University, Tanta, Egypt

Faculty of Science, Tanta University, Tanta, Egypt

Higher Technological Institute, 10th of Ramadan city, Egypt

ABSTRACT

In this paper, a new approach for finding all efficient solutions for multi-objectivefractional programming problems is presented. This approach based on solvingauxiliary problems, one of them to obtain minimizing the numerator and the othermaximizing the denominator. Illustrative examples are presented to clarify theobtained results.


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W. K. Zahra , S. M. Elkoly

Department of Engineering Physics and Mathematics, Faculty of Engineering, Tanta University, Tanta, Egypt and 2Department

of Mathematics, Basic and Applied Sciences School, Egypt-Japan University of Science and Technology, New Borg El-Arab City,

Alexandria, 21934, Egypt.

Department of Engineering Physics and Mathematics, Faculty of Engineering, Kafr El Sheikh Univ., Egypt

ABSTRACT

Discrete spline function based method is developed to solve the time fractional Swift-Hohenberg equation in the sense of Riemann Liouville derivative. Via Fourier method,the developed method is unconditionally stable. Two schemes are acquired, theseschemes are verified to be convergent of order two and four. Numerical results aredemonstrated for various values of fractional Brownian as a function of time and alsothe standard motion to confirm the applicability and the theoretical results.


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Abdallah W . Aboutahoun , Eman Fares

(Assoc. Prof.) Department of Mathematics, Faculty of Science, Alexandria University, Alexandria, Egypt

(Assistant teacher)Department of Basic Science, Faculty of Engineering, Pharos University, Alexandria, Egypt

ABSTRACT

Given a tree network T with n vertices where each edge has an independent operationalprobability, we are interested in finding a subtree with at most k leaves and with adiameter of at most l which maximizes the expected number of nodes that arereachable from the selected subtree by operational paths. An efficient algorithm ispresented for finding a (k, l) – tree core of T. Examples are provided to illustrate thealgorithm.


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Abdallah W. Aboutahoun

Associative Prof., Department of Mathematics, Faculty of Science, Alexandria University, Alexandria, Egypt

ABSTRACT

As an extension of classical facility location models in network, the problem of locatinga tree-shaped facility in a tree network is considered. We consider the minisumcriterion in which the sum of the distances from all the vertices of the tree network tothe facility is minimized and the minimax criterion in which the distance from thefacility to the farthest vertex in the tree network is minimized. Using single criteriondoes not capture all essential elements of a location problem. An efficient algorithm isdeveloped which generate the set of all Pareto-optimal subtrees in the objective space.Examples are provided to illustrate the algorithm


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Dynamical Systems and Applications.

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Prof/ Gamal M. Nawara , Dr/ M. Mansour , Dr/ Ghada M. Abdel Salam

Industrial Engineering Department,Zagazig University, Cairo, Egypt



ABSTRACT

Developing supply chain strategy plays an essential role to retain competition amongcompanies. This paper investigates the decision about which items to make to stock andwhich ones to make to order based on a mathematical model minimize the differencebetween the costs of the two approaches. The production environment is characterizedby multiple activities such as purchasing, manufacturing, subassembly, and finishedassembly. Through some numerical experiments the effect of different demandquantitates, customer delivery time and capacity limit are identified. The analysisprovides an insight into the relationship between the supply chain costing and thestrategic decision making.


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Nabil T.M. Eldabe , Hamida M. Shawky , Amira S. Awaad

Mathematics Department, Faculty of Education, Ain-Shams University.

Department of Mathematics, Faculty of Science (Grils), AL- Azhar University.

Department of Mathematics, Faculty of Science (Grils), AL- Azhar University.

ABSTRACT

In this work, we investigated the effects of slip boundary condition and Hall currentson peristaltic motion of a non-Newtonian fluid which is obeying Bingham-Papanastasiou model, with heat transfer taking into account the thermal radiation andheat generation, through an asymmetric channel. This phenomena is modeledmathematically by a system of governing equations which are continuity, momentumand heat equations. These equations are solved analytically under low Reynoldsnumber condition and long wavelength approximation. The stream function andtemperature distribution are obtained as functions of physical parameters of theproblem. The effects of the parameters on these solutions are discussed numericallyand illustrated graphically through a set of figures. It is found that the physicalparameters played important roles to control the velocity and temperature distribution.


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Elmetwally M. M. Elabbasy , Hamdy A. El-Metwally

Math. Dept. Faculty of Science, Mansoura University

Math. Dept. Faculty of Science, Mansoura University

ABSTRACT

In this paper, we investigate the dynamical behavior of the positive solutions of thefollowing system of difference equations u_{n+1}=((au_{n})/(b+cv_{n-1}^{p})),v_{n+1}=((dv_{n})/(e+fw_{n-1}^{q})) ,w_{n+1}=((gw_{n})/(h+Iu_{n-1}^{r})) wherethe initial conditions u_{-i},v_{-i},w_{-i} (i=0,1,2,3) are non-negative real numbers andthe parameters a,b,c,d,e,f,g,h,I,p,q,r, are positive real numbers, by extending someresults in the literature.


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Titus Okello Orwa , Rachel Waema Mbogo , Livingstone Luboobi




ABSTRACT

Human malaria remains a major killer disease worldwide, with nearly half (3.2 billion)of the world’s population at risk of malaria infection. The infectious protozoan diseaseis endemic in tropical and subtropical regions, with an estimated 212 million new casesand 429,000 malaria-related deaths in 2015. An in-host mathematical model of malariathat describes the dynamics and interactions of malaria parasites with the host’s livercells, the red blood cells and macrophages is reformulated. By a theoretical analysis, anin-host basic reproduction number R_0 is derived. The disease free equilibrium isshown to be locally and globally asymptotically stable. Sensitivity analysis reveal thatthe erythrocyte invasion rate β_r , the average number of merozoites released perbursting infected erythrocyte K and the proportion of merozoites that cause secondaryinvasions at the blood phase ζ, are the most influential parameters in determining themalaria infection outcomes. Numerical results show that intervention during malariainfection should focus on minimizing the density of and the rates of merozoite invasionon healthy erythrocytes at the blood stage.


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Hamdy A. El-Metwally , Elmetwally M. M. Elabbasy , Amna Eshtiba

Faculty of Science, Mansoura University

Faculty of Science, Mansoura University

Faculty of Education, Tripoli University, Libya

ABSTRACT

In this paper we investigate the boundedness, the periodicity character and the globalbehavior of the positive solutions of the difference equation x_{n+1}=a_{n}+((x_{n}^{p})/(x_{n-1}^{p})), n=0,1,..., where {a_{n}} is a sequence of nonnegative realnumbers and the initial conditions x₋₁,x₀ are arbitrary positive real numbers.


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Purity Ngina , Dr. Rachel Waema , Prof. Livingstone S. Luboobi




ABSTRACT

HIV is a major cause of deaths especially in Sub-Sahara Africa. In this paper an in-vivodeterministic model of differential equations is presented and analyzed for HIVdynamics. Optimal control theory is applied to investigate the key roles played by thevarious HIV treatment strategies. In particular, we wish to establish the optimalstrategies for controlling the infection using three treatment regimes as the systemcontrol variables. We apply the Pontryagin’s maximum principle in characterizing theoptimality control, which is then solved numerically by applying the Runge-Kutta forthorder scheme. The numerical results indicate that an optimal controlled treatmentstrategy would ensure significant reduction in viral load and also in HIV transmission.It is also evident from the results that protease inhibitor plays a key role in virussuppression; this is not to underscore the benefits accrued when all the three drugsregimes are used in combinations.


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Computer Science.

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Zahraa Elsayed Mohamed , Elsadek Hussien Ibrahim

Zagazig University, Faculty of Science, Zagazig, Egypt

High Institute of Engineering and Technology Al-Obour, Zagazig, Egypt

ABSTRACT

Using Back Propagation (BP) algorithm in training of multilayer feedforward networksis a very effective learning approach. It finds the best weights of Artificial NeuralNetwork (ANN) by computing the weight change. There are many drawbacks of BPalgorithm but the main problems are slow training and reaching local minima easily.Through the last years, a lot of algorithms were proposed to improve and modify theBP algorithm. Overcoming these problems requires adding new parameters as learningrate and momentum. In this research, a new adaptive BP algorithm is proposed byintroducing a new function for adaptive learning rate and adaptive momentum whichdepends on the error gradient at every layer. In the learning samples, the simulationresults mention the convergence action of proposed algorithm. Comparing with classicBP algorithm, the proposed algorithm gives better convergence rates and finds a goodsolution efficiently. Three popular benchmark classification problems are used toexplain the improvement in convergence rates.


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Computer Science.

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�� , ��

Zahraa E. Mohamed , Mahmoud Atef

Faculty of Science, Mathematics Department, Zagazig University, Zagazig, Egypt

High Institute for Engineering & Technology – Al-Obour, Cairo, Egypt

ABSTRACT

MANET is a collection of mobile nodes which are independent, self-organization andself-configuration where each node communicates with other nodes by a multi-hopsmanner and can move arbitrarily without any infrastructure or central control. Thispaper aims to analysis and compare the performance of three ad hoc routing protocolsnamely: AODV, DSR and OLSR vs. three different variables parameters using OPNET17.5 simulations. Furthermore, this study focuses on comparing the main features ofthese protocols and evaluated the performance of these protocols. We studied the effectof nodes density, mobility speed and data packet size on the performance of theseprotocols based on the rate of file transfer protocol (FTP) with medium load traffic.The results in all simulations decided that the performance of OLSR protocol is betterthan both of them AODV and DSR in terms of end to end delay and data dropped,Whereas the performance AODV protocol is the best in terms of throughput and alsoDSR protocol has the lowest network load. As, we concluded that each protocol hasdifferent effect with respect to the environment conditions and considered metrics,including the average throughput, network load, end-to-end average delay, and datadropped. The results are shown that OLSR protocol can be more suitable choice in alarge density networks compared to AODV and DSR.


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Computer Science.

63

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Wael M.F. Abdel-Rehim

Faculty of computers and information, Suez University, Egypt.

ABSTRACT

In this study, we implement a Particle Swarm Optimization (PSO)-based method inparallel by using a parallel MATLAB with one, two, three, and four threads to solve theJob-Shop Scheduling Problem (JSSP). The resulting parallel PSO algorithm is evaluatedby applying it to some job shop benchmark problems. The obtained results indicatethat implementing PSO in parallel is an effective method for the JSSP that significantlyincreases the speedups especially for large-scale problems.


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Computer Science.

64

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Hammam A. Alshazly , M. Hassaballah , Abdelmgeid Amin Ali

Faculty of Science, South Valley University, Qena, Egypt

Faculty of Computers and Information, South Valley University, Luxor, Egypt

Faculty of Computers and Information, Minia University, El Minia, Egypt

ABSTRACT

Many computer vision applications rely on detecting a set of salient image features,then representing the neighborhood of each feature point by a feature vector forfurther processing. In this paper, we introduce a comparative study between the twomain categories of representing the feature neighborhood: binary and non-binary. Wehighlight their differences under various image conditions using image datasets thathave geometric and photometric transformations and different scene types. Inaddition, we illustrate when to pick a specific representation scheme based on theapplication needs or the distortions exist in the images.


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Computer Science.

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Ahmed A. A. Gad-ElRab , T. A. A. Alzohairy , Khaled A. A. Khalf-Allah

Department of Mathematics, Faculty of Science Al-Azhar University - Cairo, Egypt



ABSTRACT

Self-stabilization is one of the most important concepts used to build an overlaynetwork which is a logical layer that used to manage and manipulate the informationand data of a dynamic distributed systems as Peer-to-Peer (P2P) system. In P2P systemthe topology of the network is continuously changing by joining and leaving peers atany time. Stabilization ensures that P2P system is a persistently running system with acountless number of peers which communicate with each other and every peer has apartial view of the network. In this paper, the algorithms of Deterministic Cluster-Based Skip List protocol for dynamic distributed system (CBSL) stability will beanalyzed and proved by using self-stabilization methods such as linearization,correctness and connectivity, and the ability to extend CBSL to a ring


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Computer Science.

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Reda Mohammed , Nahla F. Omran , Abdelmgeid A. Ali



Faculty of Computers and Information, Minia University, Al Minia, Egypt

ABSTRACT

Educational database holds on massive amount of data and it is increasing rapidly.Data mining provides effective techniques for discovering useful knowledge andpattern from students' data. The discovered patterns can be used to understand manyproblems in the educational field. This paper proposes a framework to predict theperformance of first year bachelor’s students in computer science course. DecisionTree, Naïve Bayes, and Multilayer Perceptron classification methods are applied to thestudents’ data using the Weka Data Mining tool to produce the best prediction model ofthe students’ academic performance. We conduct experiments that detect the bestmodel among the used techniques and compute models' accuracy. The extractedknowledge from prediction model will be utilized to recognize and profile the studentto decide the students' level of success in the first semester.


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Algebra and applications.

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Hader A. Elgendy

Damietta University

ABSTRACT

The purpose of this paper is to extend the notations of the compatibility andorthogonality of tripotents in a Jordan triple system to that of quadripotents in aJordan quadruple system. We provide the necessary and sufficient condition for thecompatibility of quadripotents in a Jordan quadruple system. Moreover, we refine thePeirce decomposition of Jordan quadruple systems to be with respect to a system oforthogonal quadripotents and get the multiplication rules of the Peirce spaces. We alsostudy the relation between minimal and primitive quadripotents in a Jordan quadruplesystem. Finally, we show that from any Jordan quadruple system with a quadripotent,we can define a Jordan algebra.


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WAJIH ASHRAF

ALIGARH MUSLIM UNIVERSITY, INDIA

ABSTRACT

It is shown that a particular classes of heterotypical semigroup identities whose bothsides contain repeated variables and are preserved under epis in conjunction with allseminormal identities using Isbell's Zigzag Theorem.


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Mohamed Asaad , Abdelrahman Heliel

Department of Mathematics, Faculty of Science, Cairo University, Giza, 12613, Egypt

Department of Mathematics, Faculty of Science, Beni-Suef University, Beni-Suef, 62511, Egypt

ABSTRACT

Let G be a finite group. A subgroup H of G is called an H-subgroup in G if NG(H)∩Hg ≤H for every g belongs to G. A subgroup H of G is called weakly c-supplemented in G if Ghas a subgroup K such that G = HK and H∩K is an H-subgroup in G. In this talk, weinvestigate the structure of finite groups by means of weakly c-supplementedsubgroups. Some recent results about supersolvability of finite groups are generalizedto a saturated formation containing the class of all supersolvable groups.


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E.G.Emam

Department of Mathematics,Faculty of Science, Zagazig University

ABSTRACT

In this paper, we define an operation on the intuitionistic fuzzy matrices called theGödel implication operator as an extension to the definition of this operator in the caseof ordinary fuzzy matrices due to Sanchez and Hashimoto. Using this operator, weprove several important results for intuitionistic fuzzy matrices. Particularly, someproperties concerning pre-orders, sub-inverses, and regularity . We concentrate ourdiscussion on the reflexive and transitive matrices. This studying enables us to give alargest sub-inverse and a largest generalized inverse for a reflexive and transitiveintuitionistic fuzzy matrix. Also, we obtain an idempotent intuitionistic fuzzy matrixfrom any given one .


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SUSAN F. EL-DEKEN

Department of Mathematics Faculty of Science, Helwan University Ain Helwan, 11790, Helwan, Egypt

ABSTRACT

A ring R with Jacobson radical J(R) is a homogeneous semilocal ring if R/J(R) issimple artinian. In this paper, we study the transfer of the property of beinghomogeneous semilocal from a ring R to the formal power series ring R[[x]], the skewformal power series ring R[[x, α]] and the Hurwitz series ring HR. The results of thepaper generalize those proved for commutative local rings. We also consider finitecentralizing extensions proving that if the ring of matrices M n (R) is a homogeneoussemilocal ring, then so is R. More generally, if e is an idempotent of a homogeneoussemilocal ring S, then eSe is homogeneous semilocal.


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M. H. Fahmy , A. M. Hassanian , A. Naser

Math. Dept., Fac. of Sci., Al-Azhar Univ., Nasr city (11884), Cairo, Egypt.

Math. Dept., Fac. of Sci., Al-Azhar Univ., Nasr city (11884), Cairo, Egypt.

Math. Dept., Fac. of Women, Ain Shams Univ., Nasr city (Fax:24157804), Cairo, Egypt.

ABSTRACT

It was shown by Galovich that if R is commutative UFR with identity, then the set ofnon-units in R is nilpotent, and R is local. In this paper we extend Galovich's results innon-commutative UFR.


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Mohamed H. Fahmy , Sabria Atallah , Abdel-Rahman Hassanein , Sarah Kamal El-Din

Prof. of Math. Math. Dept., Faculty of Science, Al-Azhar University, Cairo, Egypt.

Prof. of Math. Math. Dept., Faculty of Science(Girls), Al-Azhar University, Cairo, Egypt.

Prof. of Math. Math. Dept., Faculty of Science, Al-Azhar University, Cairo, Egypt.

Ass.teacher. of Math. Math. Dept., Faculty of Science (Girls), Al-Azhar University, Cairo, Egypt.

ABSTRACT

This paper is two folded. One consider a well known series of generalization ofdomains such as reduced, symmetric, reversible,...,dedekind finite. The other considerthe extension of those rings by their radicals, concentrating on prime and Jacobsonradicals. We study their structure and deduce by examples that such rings are notrelated.


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Mohammed A. Saleem , Waleed Khaled Elshareef

Sohag University, Egypt.

Sohag University, Egypt.

ABSTRACT

Weierstrass points on an algebraic curve C of genus g≥2, as well as theirgeneralizations to higher orders, are of fundamental importance in analyzing theproperties of C. For example, one can use them to construct projective embeddings formoduli spaces of curves. Moreover, they form an important invariant of a curve whichis of particular use for the study of automorphisms. In [ ], the authors studied thegeomtric classifications of the Weierstrass points of ordre on smooth projective planeseptic curves but this classification was not complete. The goal of this paper is to findall the candidates for the 1-Weierstrasss points on smooth projective plane septiccurves and to investigate the geometry of such points. The paper contains a variety ofexamples that illustrate and enrich the subject.


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SUSAN F. EL-DEKEN , A. AGEEB

Department of Mathematics, Faculty of Science Helwan University, Ain Helwan, 11790, Helwan, Cairo, Egypt

Department of Mathematics, Faculty of Science Al-Azhar University, Nasr City, 11884, Cairo, Egypt

ABSTRACT

This paper introduces an extension of von Neumann local rings (called EVNL-ring).Among other results, we show that Zn is an EVNL-ring for all integers n > 1; the directproduct of EVNL-rings is an EVNL-ring and the class of EVNL-rings coincides with theclass of C-rings. Also, we study the case when a formal power series ring is an EVNL-ring.


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H. El- zohny , Afaf Abd El kadr , Z. Mohammed

Al Azhar university

Al Azhar university

Al Azhar university

ABSTRACT

In this article we determine the shortest distance path algorithm between any twodistinct vertices for a given graph.


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Usama A. Aburawash , Bsmaa M. ELgamudi , Muna E. AbdUlhafed

Faculty of Science-Alexandria University



ABSTRACT

Working in the category of rings with involution, we introduce the property of *-rigidand α-*-rigid for *-rings. These new *-rings generalize that of rigid and α-rigid *-rings,respectively. We show also that α-rigid *-rings are α-*-rigid, α-*-reversible and α-*-Armendariz *-rings. Moreover, we give sufficient conditions for α-*-rigid, α-*-reversibleand α-*-Armendariz *-rings to be α-rigid. Furthermore, We show that the properties of*-rigid, α-*-rigid, α-*-reversible and α-*-Armendariz are extended to its polynomial *-ring R[x], Laurent polynomial *-ring R[x, x-1], localization (S-1)R of R to S, Ore *-ring Qand Dorroh extension D(R,Z). Finally, we show that if a *-ring R is α-*-Armendariz thenthe skew polynomial R[x,α] is *-Baer (*-reversible) if and only if R is so.


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Usama Wadie Aziz Mousa

an engineer of computer and automatic control-faculty of engineering ,Ain_shams university.

ABSTRACT

This document gives My new method for solving linear systems of algebraic equations.I gave the name Usama's method for My Method where I introduced it in the lastconference (ICMTD 2015). Usama's method contains equations and rules. Usama'smethod is more easy than Cramer's rule, where it produces an explicit formula for thesolution ,but with less arithmatic operations. and also Usama's method is more easythan Gaussian elimination for producing the solution for the unique solution's linearsystems, but without much division operations,where there is only one divisionoperation.


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Topology & Geometry and Applications

79

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Abdelmohaymen Mohammed Abdulaziz Fawaz

Mathematics teacher at Al-Azhar Al-Sharif

ABSTRACT

This research aims to conclude a fifth case of the cases of congruent triangles, the caseof the equal triangles in the area. As we know, if the triangles are identical, then theyare equal in space and vice versa is not always true. So this research is focused on thesituation in which the equal triangles in the area are to be congruent and the requiredconditions, for them, to get matched. After the study mentioned in the research, andwith the availability of some elements, I was able to get to the text of the fifth case ofthe cases of congruent triangles which states: “The two equal triangles correspond tothe area if a rib and an angle match in one of the triangles with their counterparts inthe other triangle”


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80

115

��

��

M. A. Elsafty , H. M. Elkhawaga , A.M.Kozae

Department of Mathematics and Statistics, Faculty of Science, Taif University

Department of Statistics and Mathematics and Insurance, Tanta University, Egypt

Department of Mathematics, Faculty of Science, Tanta University, Egypt

ABSTRACT

In this paper, we present a new method to rough set attributes priority arrangement ofcancellations in the life insurance, the number of canceled documents on the rise plusthey oscillatory also in rates of cancellations in constant fluctuation which requiressearching in the problem of cancellations of these documents where, thesecancellations affect negatively the results of the Egyptian life insurance operations ofinsurance companies. This paper also aims to identify the most important variablesthat affect the rates of cancellations and so as to reach solutions that lead to reducingthe number of canceled documents by using the Rough Model. The research also aimsto use the Rough model to identify the determinants of cancellations in the lifeinsurance of the Egyptian insurance market, so as to reach solutions that lead toreducing the number of canceled policies and find solutions to them. Our findingsproved that the most important factors that affect the document cancellation in theEgyptian life insurance policies are; policy premiums, insurance period and age ofpolicyholders respectively.


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81

115

��

F.H. Khedr , S.A. Abd El-Baki , M.S. Malfi

Assiut University

Assiut University

Assiut University

ABSTRACT

In this manuscript, the concept of a generalized fuzzy soft point is introduced and someof its basic properties are studied. Also, the concepts of a generalized fuzzy soft base(subbase) and a generalized fuzzy soft subspace are introduced and some importanttheorems are established. Finally, we study the relationship between fuzzy soft set,intuitionistic fuzzy soft set, generalized fuzzy soft set and generalized intuitionisticfuzzy soft set are investigated.


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82

115

��

Heba Ibrahim Mustafa

Faculity of science Zagazig University

ABSTRACT

Theories of soft sets and rough sets are two different approaches to vagueness. Theycan be combined to form a powerful mathematical tool for dealing uncertain problems.Soft rough set introduced by Feng[7] is the connection between these approaches and itis the generalization of rough set with respect to the soft approximation space. Thispaper extend soft rough approximation model by defining new soft roughapproximation operators via ideal. When the ideal is the least ideal of $\wp(U)$, thesetwo approximations coincide. We present the essential properties of new opertors viaideal and supported by illustrative examples. The notion of soft rough equal relationsvia ideal is proposed and related examples are examined. We also show that rough setvia ideal [26] can be viewed as a special case of soft rough set via ideal, and these twonotions will coincide provided that the underlaying soft set is a partition soft set. Weobtain the structure of soft rough set via ideal, gives the structure of topologies inducedby soft set and an ideal. Moreover, an example containing a comparative analysisbetween rough sets via ideal and soft rough sets via ideal is given. We show that softrough approximation via ideal could provide a better approximation than rough set viaideal. Finally application of data reduction are done and an algorithm of multi-attributedecision making based on soft rough sets via ideal is given.


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83

115

� ��-��

Fawsia Sleim

Faculity of science Zagazig university

ABSTRACT

In this paper, we study the cartesian product of two multi-sets and some of itsproperties . Also we study the multi-set function and some of its properties and definethe image and the inverse image of multi- sets and study of some properties .We studythe multi-order relation ,multi-increasing ( decreasing ) function ,and the multi-topological ordered spaces and some of m - separation axioms of multi-topologicalspaces


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84

115

��

Heba

Zagazig University

ABSTRACT

Soft set theory and rough set theory are treated as mathematical approaches to dealwith uncertainty. They are combined together by F.Feng et al. In[ ], we introduce thenotion of soft rough sets on a complete atomic Boolean lattice as a generalization ofsoft rough sets. In this paper, we strengthen the concept of soft rough on a completeatomic Boolean lattice by defining the concept of MSR sets on a complete atomicBoolean lattice. In this model, some properties which were not satisfied in soft roughsets on a complete atomic Boolean lattice can be proved. Finally, the notion of lowerand upper MSR-approximations of soft sets on a complete atomic Boolean lattice isstudied.


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85

115

��

Fawsia

Zagazig university

ABSTRACT

In this paper, we define the basic concepts of hesitant fuzzy sets and smooth hesitantfuzzy topologies in $\hat{S}$ostak sense. We study and investigate some properties ofsmooth hesitant fuzzy topological spaces. Moreover, we introduce the concepts ofsmooth hesitant closure and smooth hesitant interior of a fuzzy hesitant set and obtainsome of their structural properties.


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86

115

�� -�-�� -��

Abd El Fattah A. El Atik , Arafa A. Nasef

Department of Mathematics, Faculty of Science, Tanta University, Tanta, Egypt

Department of Physics and Engineering Mathematics, Faculty of Engineering Kafrelsheikh University, Egypt.

ABSTRACT

In this paper, we introduce and study the notion of nano pre-I-open sets which isproperly placed between nano openness and nano preopenness regardless the nanotopological ideal. Also, we show that the class of near pre-I-open sets is properly placesbetween the classes of nano I –open and nano preopen sets. We give a decompositionof nano I-continuity by proving that a function f(X,τ,I)→(Y,σ) is nano I-continuous ifand only if it is nano I-continuous and nano *-I-continuous .


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87

115

��

Abd El Fattah A. El Atik , Mohammed atef

Department of mathematics, Faculty of Science, Tanta University.

Department of mathematics, Faculty of Science, Menoufia University.

ABSTRACT

The focus of this article is to define a new definition of the neighborhood which is builton the choice of the distance between two vertices. A comparison between these typesof results from a new formed topologies and neighborhoods is discussed. Through theedges between vertices in any graph, we introduce a new class of separation axiomscalled graph separation axioms. Also, we study the connections between these graphseparation axioms.


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88

115

��

H. S. Abdel-Aziz , M. Khalifa Saad , Haytham. A. Ali

Mathematics Department, Faculty of Science, Sohag University, 82524, Egypt.



ABSTRACT

In the theory of curves, a magnetic field generates a magnetic flow whose trajectoriesare curves, called magnetic curves. In the present paper, magnetic curves whichcorresponding to killing magnetic fields of spherical indicatrices for a regular curve inEuclidean 3-space are obtained. These curves are magnetic curves of the tangent,principal normal and binormal spherical indicatrices. Especially, for the tangentindicatrix of a regular curve, TT , NT and BT -magnetic curves are characterized.Furtheremore, some theorems and important results are given. Finally, we introducean example to illustrate our main results with figures.


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89

115

��

Salah Gomma Ahmed Ali Elgendi

Faculty of Science - Benha University

ABSTRACT

In this paper, the linear one form deformation of a flat spray is investigated. Themetrizability of the deformation spray is characterized. New projectively flatReimannain metrics are obtained. These new metrics are not, generally, isometric tothe Klein metric via affine transformations. New Finsler solutions for Hilbert's fourthproblem are constructed. Various examples are studied.


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Functional Analysis

90

115

��

��

M. Abdalla , H. Abd-Elmageedb , M. Abul-Ez

Dept. of Math., Faculty of Science, South Valley University, Qena 83523, Egypt.

Dept. of Math., Faculty of Science, South Valley University, Qena 83523, Egypt.

Mathematics Department, Faculty of Science, Sohag University, Sohag 82524, Egypt

ABSTRACT

The aim of this article is to present an overview of the modern developments aroundthe theme of multivariable hypergeometric matrix functions (MHMFs). Operatorrepresentations of multivariable hypergeometric functions and certain classes oforthogonal matrix polynomials are established here by a new technique.


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Functional Analysis

91

115

�� '� ��

M. Abdalla

Department of Mathematics, Faculty of Science, South Valley University, Qena 83523, Egypt

ABSTRACT

This paper deals with the study of the Srivastava's triple hypergeometric matrixfunctions. The convergent properties, an integral representation of these functions andcontiguous function relations are obtained. Some results coming from operating thedifferential operator on Srivastava's triple hypergeometric matrix functions areestablished. Moreover a solution of certain partial differential equation are given.


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Functional Analysis

92

115

��

H. ABD-ELMAGEED , M. ABUL-EZ , Z. KISHKA , A. ABDEL RADY

Department of Mathematics Faculty of Science South Valley University Qena 83523 Egypt

Department of Mathematics Faculty of Science Sohag University Sohag 82524 Egypt

Department of Mathematics Faculty of Science Sohag University Sohag 82524 Egypt

Department of Mathematics Faculty of Science South Valley University Qena 83523 Egypt

ABSTRACT

In this paper we have established result for the Appell's hypergeometric matrixfunctions. An integral representation of these functions, generating functions andreduction formulas are derived here. Furthermore, certain relations are obtained byacting a differential operator to Appell matrix functions arguments have also beendiscussed.


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Functional Analysis

93

115

�� ϕ �� {�; �; �; �} ��

��

Sahar Mohamed Ali Abou Bakr

Ain Shams University, Faculty of Science, Department of Mathematics, Cairo, Egypt.

ABSTRACT

We prove the existence of only one common fixed point of two mappings, in particular;proves the existence of unique fixed point of some generalized contraction, introducesnew type of {a, b, c; r} generalized cyclic contraction, proves the existence of uniquefixed point of such mappings; all are defined on complete quasi metric spaces, and thenestablishes a convergence theorem for a sequence of fixed points of a sequence ofgeneralized cyclic contractions to the unique fixed point of a given generalized cycliccontraction S. This research extends and generalizes results previously proved.


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Functional Analysis

94

115

��

Hakima BOUHADJERA

Laboratory of Applied Mathematics Badji Mokhtar-Annaba University P.O. Box 12, 23000 Annaba, Algeria

ABSTRACT

A general common fixed point theorem for two pairs of weakly subsequentiallycontinuous mappings (recently introduced) satisfying a significant estimated implicitfunction is proved. An extension of this results thereby obtained. Our results assert theexistence and uniqueness of common fi xed points in several cases.


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Functional Analysis

95

115

��

��

A. H. Hassan , D. A. Mohan

Faculty of Science, Zagazig University, Zagazig 44519, Egypt

Faculty of Science, Zagazig University, Zagazig 44519, Egypt

ABSTRACT

In this paper, by using the subordination principle we introduce and study newsubclasses of analytic functions with negative coefficients defined on the open unitdisk. We obtain numerous sharp results including (for example) coefficient estimates,distortion theorem, radii of starlikeness and convexity. Moreover, we deduce someresults according to the modified Hadamard product of functions belonging to thesesubclasses.


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Functional Analysis

96

115

��-��

$�^{\��}_{�}(�,�,�)$ ��

Mohamed Abdelrahman Ahmed , Alaa Kamal Mohamed , Taha Ibrahim Yassen Moursy

Professor of Mathematics, Faculty of Science - Assiut University- Egypt

Port Said University, Faculty of Science, Department of Mathematics,Port Said, Egypt

Port Said University, Faculty of Science, Department of Mathematics,Port Said, Egypt

ABSTRACT

The purpose of this paper is to define a new class of hyperholomorphic functions, theso called $F^{\alpha}_{G}(p,q,s)$ Spaces. For this class we obtain characterizations by${\mathcal{B}}^{\alpha}$ spaces. Moreover, we characterize the hyperholomorphic$F^{\alpha}_{G}(p,q,s)$ functions by the coefficients of certain lacunary seriesexpansions in Clifford analysis.


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Functional Analysis

97

115

�� '� ��

A. M. Zidan , M. A. Barakat

Department of Mathematics, Faculty of Science, Al-Azhar University, Assuit branch, Egypt.

Department of Mathematics, Faculty of Science, Al-Azhar University, Assuit branch, Egypt.

ABSTRACT

We present a New generalized fixed point theorems in weak quasi partial metric spacesfor cyclic compatabl contraction . Our result extend some known results duo to Barakatet.al. [1]. Also, in order to illustrate our results, we present the study about theexistence and uniqueness of solutions of the functional equation.


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Functional Analysis

98

115

� �� -��

��-��

Ali Mohamed Saddeek , Sayed Attia Ahmed

Department of Mathematics, Faculty of Science, Assiut University, Assiut , Egypt

Department of Mathematics, Faculty of Science, Assiut University, Assiut , Egypt,,,Umm Al Qura University, Jamoum

University College, Makka, Saudi Arabia

ABSTRACT

In this paper, a new generalized S-algorithm in terms of admissible and generalizedadmissible mappings for approximating common fixed points of three mappingssatisfying general contraction type conditions is introduced and its strong convergenceis proved in uniformly convex Banach spaces. The results improve and generalize themain results of several authors.


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Functional Analysis

99

115

� �� -�� -��

A. H. Hassan

Department of Mathematics, Faculty of Science, Zagazig University

ABSTRACT

In this paper, by using the q-derivative we introduce certain generalized subclasses ofnormalized (f(0)=f'(0)-1=0) bi-univalent analytic functions. For functions belonging tothe subclass under investigation, we find estimates on the Maclaurin coeffcients |a_2|and |a_3|. Some earlier results are improved and some special cases are pointed out.


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Functional Analysis

100

115

�� -��

��

A. H. Hassan

Faculty of Science, Zagazig University

ABSTRACT

In this paper we investigate some subordination properties of certain linear operatorassociated with the well-known Bessel functions. Also, we investigated some estimatesand sufficient starlike conditions of certain subclass of univalent functions defined inthe unit disc.


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Functional Analysis

101

115

��

�� –��

Somiah Elzahaby , S. Al-Tamemy

Al-Azhar University[Girls Branch], Faculty of Science, Mathematics Dept.

Al-Azhar University[Girls Branch], Faculty of Science, Mathematics Dept.

ABSTRACT

In this paper a semiliner elliptic optimal control problem of infinite order with mixedcontrol – state constraints are studied. The existence of regular Lagrange multipliers,first – order necessary and Second order sufficient conditions are obtained.


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Differential Equation and Applications.

102

115

��

Abdurrahman Abdulhamid , Kabiru Muhammad



ABSTRACT

A Mathematical Model for Lassa which incorporates quarantine and re-infection wasdeveloped for the control of Lassa fever epidemic. The basic reproduction number iscalculated and it is shown that the model exhibits the phenomenon of backwardbifurcation where a stable endemic equilibrium coexists with a stable disease-freeequilibrium when the associated reproduction number is less than unity. Thisphenomenon has epidemiological implication which shows the classical requirement ofthe associated reproduction number to be less than unity does not guarantee control ofthe disease. Sensitivity and uncertainty analysis were carried out to access theimportance of each parameter of the model.


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103

115

��-�� :� ��

Gamal N. Elnagar

University of South Carolina

ABSTRACT

The spectral methods of G. N. Elnagar, which yield spectral convergence rate for theapproximate solutions of Fredholm and Volterra-Hammerstein integral equations, isgeneralized in order to solve the larger class of integro-differential functional operatorcontrol systems with spectral accuracy. The proposed method is based on the idea ofrelating spectrally constructed grid points to the structure of projection operatorswhich will be used to approximate the control vector and the associated state vector.These projection operators are spectrally constructed using Lagrange polynomials astrial functions. Due to its dynamic nature, the proposed method avoids many of thenumerical difficulties typically encountered in solving standard integro-differentialfunctional equation control systems. An illustrated example is included to confirm theefficiency and applicability of the proposed method.


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104

115

��

(�� ).

Abdurrahman Abdulhamid , Kabiru Muhammad , Zahraddeen Abdullahi




ABSTRACT

Abstract An analytic method of solving a partial differential equation (PDE) obtainedfrom a modeled equation of continuity (conservation of flow equation) using integraltransform method was proposed. The analysis of the equation was carried out withregards to the distance along road (x), time (t) and traffic flow (k). Whereas density oftraffic (k0) and velocity (u) values were varied to asses how the vehicular flux changesin the study, one after the other keeping the rest fixed in order. The solution of theproblem was discussed after analyzing the effect of the parameters on the traffic flowand graphs were presented to illustrate the exactness of the analytical solution wherethe behaviour of the traffic flux changes with distance for different initial densities andchanges with distance for different initial velocities.


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105

115

�� -��

��

Wael W. Mohammed

Department of Mathematics, Faculty of Science, Hail University, Saudi Arabia

ABSTRACT

In this paper we present a class of stochastic system of reaction-diffusion equations.Our aim of this paper is to approximate the solutions for the system via amplitudeequation with Neumann boundary conditions. We are interested on a systems that havenonlinear polynomial and give applications as Lotka-Volterra system and fromchemistry the Brusselator model for the Belousov-Zhabotinsky chemical reaction toillustrate our results.


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106

115

��-�� '� ��

A. A. El-Deeb

Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr City (11884), Cairo, Egypt.

ABSTRACT

In this paper, we prove some new Steffensen-type inequalities on time scales via thediamond-alpha dynamic integral, which is defined as a linear combination of the deltaand nabla integrals. These inequalities extend some known dynamic inequalities ontime scales and also unify some continuous inequalities and their correspondingdiscrete analogues.


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107

115

� �� -��

��

Maha Hamed , Ibrahim Al-Kalla , Mohamed El-Beltagy , Beih El-desouky

Department of Mathematics, Faculty of Science, Mansoura University,Mansoura. Egypt

Engineering Mathematics and Physics Dept, Faculty of Engineering, Mansoura University, Mansoura, Egypt.

Engineering Mathematics and Physics Dept, Faculty of Engineering, Cairo University,Giza, Egypt.

Department of Mathematics, Faculty of Science, Mansoura University,Mansoura. Egypt

ABSTRACT

In this paper, the two known Wiener-Ito expansions are compared. The methodology,performance and convergence of the two expansions are shown. The two expansionsare used in solving linear and nonlinear stochastic differential equations (SDEs). Thefirst expansion, known also as Wiener-Hermite Expansion (WHE), is truncated only inone parameter, order, but it is more difficult to handle. The second expansion, knownalso as Wiener-Chaos Expansion (WCE), is truncated in two parameters, order anddimension, but it is more easier. The two expansions are shown to be powerful toolswhen the Gaussian and/or non-Gaussian solutions are intended.


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108

115

�� (��) ��

��

Sheren Ahmed , Fatma Gaafar

Lecturer

Assistant Professor

ABSTRACT

In this paper, we prove some local and global existence theorems for a fractionalorders differential equations with nonlocal conditions, also the uniqueness of thesolution will be studied.


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109

115

��

REZZOUG Imad , AYADI Abdelhamid



ABSTRACT

In this intervention, we study an approximate controllability problem. This problemappears naturally of approximate sentinel. The main tool is a theorem of uniqueness ofthe solution of ill-posed Cauchy problem for the parabolic equations.


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110

115

�� '/�

��

U.M. Abdelsalam

Department of Mathematics, Faculty of Science, Fayoum University, Egypt.

ABSTRACT

(G'/G)-expansion method is examined to solve the Boiti–Leon–Pempinelli (BLP) systemand the (2 + 1)-dimensional breaking soliton system. The results show that this methodis a powerful tool for solving systems of nonlinear PDEs., it presents exact travellingwave solutions. The obtained solutions include rational, periodical, singular, shockwave and solitary wave solutions.


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111

115

��

Dr. Anas Arafa , Ghada Elmahdy

Department of Mathematics and Computer Science, Faculty of Science, Port Said University

Department of Mathematics and Computer Science, Faculty of Science, Port Said University

ABSTRACT

This paper investigates the approximate solution of nonlinear Huxley equation usingnew analytic technique. The solution was calculated in the form of a convergent powerseries with easily computable components. The proposed method obtains Taylorexpansion of the solution and reproduces the exact solution when the solution ispolynomial.


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112

115

��

��

Fathalla A. Rihan

Department of Mathematical Sciences, College of Science, United Arab Emirates University, Al-Ain 15551, UAE

ABSTRACT

In this talk, we present the theoretical framework to solve inverse problems for DelayDifferential Equations (DDEs). Given a parameterized DDE and experimental data, weestimate the parameters appearing in the model, using least squares approach. Someissues associated with the inverse problem, such as nonlinearity and discontinuitieswhich make the problem more ill-posed, are studied. Sensitivity and robustness of themodels to small perturbations in the parameters, using variational approach, are alsoinvestigated. The sensitivity functions may provide guidance for the modelers todetermine the most informative data for a specific parameter, and select the best fitmodel. The consistency of delay differential equations with bacterial cell growth isshown by fitting the models to real observations.


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113

115

�� -��

M. M. A. El-Sheikh , R. Sallam , S. Salem

Menoufia University

Menoufia University

Menoufia University

ABSTRACT

The aim of this paper is to study the oscillatory behavior of solutions of the third orderneutral differential equation (a(t)[z′′(t)]^{γ})′+∑_{i=1}^{m}f_{i}(t,x(σ_{i}(t)))=0, t≥t₀,where z(t)=x(t)+∑_{j=1}ⁿp_{j}(t)x(τ_{j}(t)), m,n are positive integers, γ≥1 is a ratio oftwo odd positive integers and τ_{i}(t)≤t for i=1,2,..,m. A new criteria guarantees thatevery solution is either oscillatory or tends to zero are established. The obtained resultsimprove some known results in the literature. Some examples are given to illustrateour results.


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114

115

�� -��

W. K. Zahra , S. M. Elkoly

Department of Engineering Physics and Mathematics, Faculty of Engineering, Tanta University, Tanta, Egypt and Department

of Mathematics, Basic and Applied Sciences School, Egypt-Japan University of Science and Technology, New Borg El-Arab City,

Alexandria, 21934, Egypt

Department of Engineering Physics and Mathematics, Faculty of Engineering, Kafr El Sheikh Univ., Egypt

ABSTRACT

Discrete spline function based method is developed to solve the time fractional Swift-Hohenberg equation in the sense of Riemann Liouville derivative. Via Fourier method,the developed method is convergent and unconditionally stable. Numerical results aredemonstrated to confirm the applicability and the theoretical results.


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115

115

��

Sami H. Saker

Prof. Math. Department of Mathematics, Faculty of Science, Mnsoura University, Egypt

ABSTRACT

In this talk I will present new dynamic inequalities based on the application of the timescale version of Hardy's type inequality on a finite interval [a,b]_{T} where T is a timescale. Next, we will speak about Gehring's type inequalities on time scales by employingthe obtained inequality. As an application of Gehring inequalities, we will prove someinterpolation. Next, we will prove a dynamic inequality of Shum's type on a time scaleT. The proof is new and different from the proof due to Shum. [Canad. Math. Bull. 14(1971), 225-230]. Next, we prove some new integrability theorems which as a specialcase, when T=R, contain the results due to Muckenhoupt [Tran. Amer. Math. Soc. 165(1972), 207-226] and the results due to Bojarski, Sbordone and Wik. [Studia Mat. VII,10 (1992), 155-163]. By employing theorems, we will prove a higher integrability resultwhich proves that the space L_{Δ}^{q}(0,T]_{T} of nonincreasing functions will be inthe space L_{Δ}^{p}(0,T]_{T} for p>q. The results contain, as a special case, theintegrability results due to Alzer [J. Math. Anal. Appl. 190 (1995), 774-779]. When T=Nour results are essentially new and can be applied on different types of time scales.2010 Mathematics Subject Classification: 26D15, 34A40, 34N05, 39A12.


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