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International Conference on Mathematics and Mathematics Education (ICMME-2018), Ordu University, Ordu, 27-29 June 2018
i
International Conference On
Mathematics and
Mathematics Education (ICMME - 2018)
Book of Abstracts
International Conference on Mathematics and Mathematics Education (ICMME-2018), Ordu University, Ordu, 27-29 June 2018
ii
International Conference on Mathematics and Mathematics Education
(ICMME - 2018)
Ordu University, Ordu, Turkey, 27-29 June 2018
©All rights reserved. Throughout this book, or part, without the permission of
the author, electronic, mechanical, photocopying or reproduced in any recording
system, transmitted, stored.
All kinds of information in this book is the responsibility of the authors.
Editors
Ömer AKIN
TOBB Economy and Technology University, Turkey
Mustafa ÖZKAN
Gazi University, Turkey
Assistant Editors
Nilay AKGÖNÜLLÜ PİRİM
MATDER, Turkey
International Conference on Mathematics and Mathematics Education (ICMME-2018), Ordu University, Ordu, 27-29 June 2018
iii
PREFACE The International Conference on Mathematics and Mathematics Education
“Mathematics in ORDU” (ICMME-2018) will be held on June 27-29, 2018 in Ordu, Turkey.
MATDER-Association of Mathematicians is an association founded in 1995 by
mathematicians in Turkey. Up to now 14 national and 2 international mathematics symposium
were organized by MATDER.
These meetings have been one of the main national symposiums. Since the talks in the
meetings covers almost all areas of mathematics, mathematics education and engineering
mathematics, the conferences have been well attended by mathematicians from academia,
Ministry of Education and engineers as well. The last five conferences have been held in
Şanlıurfa (ICMME-2017), Elazig (ICMME-2016), Niğde (2015), Karabük (2014) and Ankara
(2013). This year ICMME-2018 has been held at Ordu University in Ordu/Turkey on 27-29
June 2018 as an international conference.
The main aim of this conference is to contribute to the development of mathematical
sciences, mathematical education, and their applications and to bring together the members of
the mathematics community, interdisciplinary researchers, educators, mathematicians, and
statisticians from all over the world. The conference will present new results and future
challenges, in series of invited and short talks, poster presentations, workshops, and
exhibitions. All presented paper’s abstracts will be published in the conference proceeding.
Moreover, selected and peer review articles will be published in the following journals:
Turkish Journal of Mathematics & Computer Science (TJMCS)
MATDER Matematik Eğitim Dergisi
This conference is organised by MATDER-Association of Mathematicians and hosted
by Ordu University.
On Behalf of The Organizing Committee
Ömer AKIN
International Conference on Mathematics and Mathematics Education (ICMME-2018), Ordu University, Ordu, 27-29 June 2018
iv
COMMITTIEES
HONORARY AND ADVISORY BOARD
Prof. Dr. Numan KURTULMUŞ Minister of Culture and Tourism, Turkey
Dr. İsmet YILMAZ Minister of National Education, Turkey
Seddar YAVUZ Governor of Ordu, Turkey
Prof. Dr. Tarık YARILGAÇ Rector of Ordu University, Turkey
Prof. Dr. Öznur ERGEN AKÇİN Dean of Faculty of Science of Ordu University,
Turkey
Kutlu Tekin BAŞ Director of National Education, Turkey
Servet ŞAHİN Chairman of Ordu Chamber of Commerce and
Industry, Turkey
Engin TEKİNTAŞ Mayor of Altınordu, Turkey
SYMPOSIUM PRESIDENTS
Ömer AKIN Chairman of the Board, Turkey
Süleyman ŞENYURT Department of Mathematics,Ordu University,
Turkey
ORGANIZING COMMITTEE
Mustafa ÖZKAN (President) MATDER, Turkey
Ömer ÖZEN (Vice President) MATDER, Turkey
Ali ÖZTURAN MATDER, Turkey
Fatih YILMAZ Gazi University, Turkey
İlyas HAŞİMOĞLU Karabuk University, Turkey
Maksude KELEŞ TOBB ETU, Turkey
Mehmet KUNT MATDER, Turkey
Muhlis ÇELİK MATDER, Turkey
Nilay AKGÖNÜLLÜ PİRİM MATDER, Turkey
Oğuz GÜVEN TOBB ETU, Turkey
Raziye MERT MATDER, Turkey
Selami BAYEĞ TOBB ETU, Turkey
International Conference on Mathematics and Mathematics Education (ICMME-2018), Ordu University, Ordu, 27-29 June 2018
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Tahir KHANIYEV TOBB ETU, Turkey
Tuğba TAMİRCİ MATDER, Turkey
Tuncay BAŞKAYA Atılım University, Turkey
LOCAL ORGANIZING COMMITTEE
Cemil YAPAR Ordu University, Turkey
Selahattin MADEN Ordu University, Turkey
Erhan SET Ordu University, Turkey
Cemal BELEN Ordu University, Turkey
Meral Cansız AKTAŞ Ordu University, Turkey
Mustafa BİLİCİ Ondokuz Mayıs University, Turkey
Şeyda KILIÇOĞLU Başkent University, Turkey
İmdat İŞCAN Giresun University, Turkey
Mehmet KORKMAZ Ordu University, Turkey
Erdal ÜNLÜYOL Ordu University, Turkey
Yıldıray ÇELİK Ordu University, Turkey
Hayal Yavuz MUMCU Ordu University, Turkey
Tolga AKTÜRK Ordu University, Turkey
Fatih SAY Ordu University, Turkey
Erdinç YÜCESOY Ordu University, Turkey
Canan ÇİFTÇİ Ordu University, Turkey
İrem EROĞLU Ordu University, Turkey
Davut CANLI Ordu University, Turkey
Abdussamet ÇALIŞKAN Ordu University, Turkey
Hülya ŞARDAĞ Ordu University, Turkey
Gökhan KÖSEOĞLU Ordu University, Turkey
Gülşah KAYA Ordu University, Turkey
Ayşe Kübra DEMİREL Ordu University, Turkey
Hümeyra KARBUZ Ordu University, Turkey
Seren SALAŞ Ordu University, Turkey
Elif ÖZKURT BAŞUSTAOĞLU Ordu University, Turkey
International Conference on Mathematics and Mathematics Education (ICMME-2018), Ordu University, Ordu, 27-29 June 2018
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Fatma Buğlem YALÇIN Ordu University, Turkey
Burak ÖZTÜRK Ordu University, Turkey
Sevgi DEMİR Ordu University, Turkey
Mihriban DURMUŞ Ordu University, Turkey
Güven KARA Ordu University, Turkey
Ceyda CEVAHİR Ordu University, Turkey
Barış ÇELİK Ordu University, Turkey
Hakan GEZGİN Ordu University, Turkey
SCIENFTIFIC COMMITTIES
MATHEMATICS
Abdizhahan SARSENBI South Kazakhstan State University, Kazakhstan
Abdon ATANGANA University of the Free State, South Africa
Abdullah Aziz ERGİN Akdeniz University, Turkey
Abdullah MAĞDEN Atatürk University, Turkey
Abhijit CHAMPANERKAR CUNY, USA
Ahmet BEKİR Eskişehir Osmangazi University, Turkey
Ahmet KÜÇÜK Atatürk University, Turkey
Ahmet Okay ÇELEBİ Yeditepe University, Turkey
Alaattin ESEN İnonu University, Turkey
Ali ERDOĞAN Hacettepe University, Turkey
Ali ÖZDEŞ Inonu University, Turkey
Alireza KHASTAN Institute for Advanced Studies in Basic Sciences, Iran
Alper Osman ÖĞRENMİŞ Fırat University, Turkey
Andrei VESNIN Sobolev Institute of Mathematics and Chelyabinsk
State University, Russia
Anna SANDULYAK Moscow State University of Instrument Engineering
and Computer Science (MGUPI), Russia
Araceli Queiruga DIOS Salamanca University, Spain
Atakan Tuğkan YAKUT Niğde Ömer Halisdemir University, Turkey
Aydın GEZER Atatürk University, Turkey
Ayhan ERDEN Gazi University, Turkey
International Conference on Mathematics and Mathematics Education (ICMME-2018), Ordu University, Ordu, 27-29 June 2018
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Ayhan SARIOĞLUGİL Ondokuz Mayıs University, Turkey
Ayhan ŞERBETÇİ Ankara University, Turkey
Ayhan TUTAR Ondokuz Mayıs University, Turkey
Bahaddin BÜKCÜ Gaziosmanpaşa University, Turkey
Baki KARLIĞA Gazi University, Turkey
Basri ÇELİK Uludağ University, Turkey
Bayram ŞAHİN Ege University, Turkey
Bülent KARAKAŞ Van Yüzüncü Yıl University, Turkey
Carlo CATTANI University of Tuscia - Viterbo, Italy
Cemil TUNÇ Van Yüzüncü Yıl University, Turkey
Cemil YAPAR Ordu University, Turkey
Cemil YILDIZ Gazi University, Turkey
Cengizhan MURATHAN Uludağ University, Turkey
Christos VOLOS Aristotle University of Thessaloniki, Greece
Cihan ORHAN Ankara University, Turkey
Cihan ÖZGÜR Balıkesir University, Turkey
Cüneyt ÇEVİK Gazi University, Turkey
Çiğdem BEKTAŞ Fırat University, Turkey
Devendra KUMAR Jecrc University, India
Doç.Dr. Olena Hryniv Ivan Franko National University of Lviv, Ukraine
Doğan KAYA İstanbul Ticaret University, Turkey
Dursun TAŞCI Gazi University, Turkey
El Hassan El KINANI Moulay Ismail University, Morocco
Elman HASANOĞLU Isık University, Turkey
Emin KASAP Ondokuz Mayıs University, Turkey
Emine MISIRLI Ege University, Turkey
Engin ÖZKAN Erzincan University, Turkey
Ercan ALTINIŞIK Gazi University, Turkey
Ercan ÇELİK Ataturk University, Turkey
Erhan COŞKUN Karadeniz Teknik University, Turkey
Erol KILIÇ İnönü University, Turkey
International Conference on Mathematics and Mathematics Education (ICMME-2018), Ordu University, Ordu, 27-29 June 2018
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Ersan AKYILDIZ Middle East Technical University, Turkey
Ertuğrul ÖZDAMAR Uludağ University, Turkey
Etibar PENAHLI Fırat University, Turkey
Eva KASLIK West University of Timisoara, Romania
F. Nejat EKMEKCİ Ankara University, Turkey
Fethi Bin Muhammad
BELGACEM Department of Mathematics, Faculty of Basic
Education, PAAET
Fevzi ERDOĞAN Yuzuncuyil University, Turkey
Fevzi KUTAY Gazi University, Turkey
Feza GÜVENİLİR Ankara University, Turkey
Fikret ALIEV Institute of Applied Mathematics, Azerbaijan
Fikri AKDENİZ Çağ University, Turkey
Gani STAMOV Technical University of Sofia, Bulgaria
Gerardo Rodriguez SANCHEZ Salamanca University, Spain
H. Hilmi HACISALİHOĞLU President of TWMS
Halim ÖZDEMİR Sakarya University, Turkey
Halis AYGÜN Kocaeli University, Turkey
Halit GÜNDOĞAN Kırıkkale University, Turkey
Hammad KHALIL University of Malakand, Pakistan
Handan ÖZTEKİN Fırat University, Turkey
Hanlar REŞİDOĞLU Mersin University, Turkey
Hasan BULUT Fırat University, Turkey
Hatice Gül İLARSLAN Gazi University, Turkey
Hikmet KEMALOĞLU Fırat University, Turkey
Hui-Sheng DING Jiangxi Normal University, China
Hurşit ÖNSİPER Middle East Technical University, Turkey
Hüseyin DEMİR Ondokuz Mayıs University, Turkey
Hüseyin YILDIRIM Sutci Imam University, Turkey
Ivan Dyyak Ivan Franko National University of Lviv, Ukraine
İ. Naci CANGÜL Uludağ University, Turkey
İbrahim YALÇINKAYA Necmettin Erbakan University, Turkey
International Conference on Mathematics and Mathematics Education (ICMME-2018), Ordu University, Ordu, 27-29 June 2018
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İdris DAĞ Eskişehir Osmangazi University, Turkey
İlhan ÖZTÜRK Erciyes University, Turkey
İnci GÜLTEKİN Atatürk University, Turkey
İsmail AYDEMİR Ondokuz Mayıs University, Turkey
İsmail EKİNCİOĞLU Dumlupınar University, Turkey
İsmail KOMBE İstanbul Ticaret University, Turkey
İsmet ALTINTAŞ Sakarya University, Turkey
İsmet KARACA Ege University, Turkey
Jehad ALZABUT Prince Sultan University, Riyadh, Saudi Arabia
Kadri ARSLAN Uludağ University, Turkey
Kazım İLARSLAN Kırıkkale University, Turkey
Kemal AYDIN Selcuk University, Turkey
Kerim KOCA Kırıkkale University, Turkey
Keziban ORBAY Amasya University, Turkey
Levent KULA Ahi Evran University, Turkey
Li KUN National University of Singapore, Singapore
Luca Grilli Foggia University, Italy
Luca GUERRINI Università Politecnica delle Marche, Italy
Marie DEMLOVA Czech Technical University, Czech Republic
M. Necdet ÇATALBAŞ Fırat University, Turkey
M. Zeki SARIKAYA Düzce University, Turkey
Mahir KADAKAL Giresun University, Turkey
Mahmut ERGÜT Namık Kemal University, Turkey
Makoto SAKUMA Hiroshima University, Japan
Martin BOHNER Missouri University of Science and Technology, USA
Mehmet AKBAŞ Karadeniz Teknik University, Turkey
Mehmet Ali GÜNGÖR Sakarya University, Turkey
Mehmet ATÇEKEN Gaziosmanpaşa University, Turkey
Mehmet BEKTAŞ Fırat University, Turkey
Mehmet MERDAN Gumuşhane University, turkey
Mehmet YILDIRIM Kırıkkale University, Turkey
International Conference on Mathematics and Mathematics Education (ICMME-2018), Ordu University, Ordu, 27-29 June 2018
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Mihriban KÜLAHCI Fırat University, Turkey
Mikail ET Firat University, Turkey
Moha HAJAR Moulay Ismail University, Morocco
Mohammad RASHIDI Tongji University, China
Murat ALP Niğde Ömer Halisdemir University, Turkey
Murat TOSUN Sakarya University, Turkey
Mustafa ÇALIŞKAN Gazi University, Turkey
Mustafa DÜLDÜL Yıldız Teknik University, Turkey
Mustafa İNÇ Firat University, Turkey
Mustafa KANDEMİR Amasya University, Turkey
Mustafa KORKMAZ Middle East Technical University, Turkey
Mustafa ÖZDEMİR Akdeniz University, Turkey
Mykola Prytula Ivan Franko National University of Lviv / Ukraine
Naim TUĞLU Gazi University, Turkey
Necdet BİLDİK Celal Bayar University, Turkey
Nesip AKTAN Necmettin Erbakan University, Turkey
Nihal Yılmaz ÖZGÜR Balıkesir University, Turkey
Nihat AYYILDIZ Süleyman Demirel University, Turkey
Nur ALAM Pabna University of Science & Technology,
Bangladesh
Nuri KURUOĞLU İstanbul Gelişim University, Turkey
Nurlan IMANBAEV International Kazakh-Turkish University, Kazakstan
Oktay MUHTAROV Gaziosmanpasa University, Turkey
Olena Hryniv Ivan Franko National University of Lviv, Ukraine
Osman KEÇİLİOĞLU Kırıkkale University, Turkey
Ömer PEKŞEN Karadeniz Teknik University, Turkey
Ömer TARAKÇI Atatürk University, Turkey
Pınar DÜNDAR Ege University, Turkey
Rathinavel SILAMBARASAN VIT University, Vellore, Tamilnadu, India
Rıfat GÜNEŞ İnönü University, Turkey
Rifat ÇOLAK Firat University, Turkey
Robert TCHITNGA Université de Dschang, Cameroon
International Conference on Mathematics and Mathematics Education (ICMME-2018), Ordu University, Ordu, 27-29 June 2018
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Roman CHAPKO Ivan Franko National University of Lviv, Ukraine
Rovshan BANDALIYEV Institute of Mathematics and Mechanics of National
Academy of Sciences, Azerbaijan
Sadık KELEŞ Inonu University, Turkey
Salim YÜCE Yıldız Teknik University, Turkey
Samed ALIYEV Baku State University, Azerbaijan
Seenith SIVASUNDARAM Florida Institute of Technology, USA
Selçuk KUTLUAY Inonu University, Turkey
Semen KÖKSAL Florida Institute of Technology, USA
Snezhana GOCHEVA-ILIEVA University of Plovdiv Paisii Hilendarski, Bulgaria
Sultan YAMAK Karadeniz Teknik University, Turkey
Süleyman ÇİFTÇİ Uludag University, Turkey
Şahin EMRAH Ankara University, Turkey
Şenol EREN Ondokuz Mayıs University, Turkey
Tamaz S. VASHAKMADZE Iv. Javakhishvili Tbilisi State University, Georgia
Taras BANAKH Ivan Franko National University of Lviv, Ukraine
Toufik MEKKAOUIL Moulay Ismail University, Morocco
Tuncay CANDAN Niğde Ömer Halisdemir University, Turkey
Vedat ASİL Firat University, Turkey
Yarema SAVULA Ivan Franko National University of Lviv, Ukraine
Yaşar BOLAT Kastamonu University, Turkey
Yusuf YAYLI Ankara University, Turkey
Zakia HAMMOUCH Moulay Ismail University, Morocco,
Zeraoulia ELHADJ University of Tebessa, Algeria
Zeynep FİDAN KOÇAK Mugla University, Turkey
Zhang ZAIUYNG Hunan Institute of Science and Technology, China
Ziyatxan ALIYEV Baku State University, Azerbaijan
MATHEMATICS EDUCATION
Abdulkadir TUNA Kastamonu University, Turkey
Abdullah KAPLAN Atatürk University, Turkey
Adnan BAKİ Karadeniz Teknik University, Turkey
International Conference on Mathematics and Mathematics Education (ICMME-2018), Ordu University, Ordu, 27-29 June 2018
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Ahmet ÖZDEMİR Marmara University, Turkey
Ahmet KAÇAR Kastamonu University, Turkey
Ahmet YILDIZ İnönü Üniversitesi, Turkey
Ali Delice Marmara University, Turkey
Ali ERASLAN Samsun Ondokuz Mayis University, Turkey
Alper Cihan KONYALIOĞLU Ataturk University, Turkey
Asuman DUATEPE PAKSU Pamukkale University, Turkey
Aysun UMAY Hacettepe University (Retired)
Ayşegül GÖKHAN Fırat University, Turkey
Beste GÜÇLER University of Massachusetts-Dartmouth, USA
Cemil İNAN Dicle UniveRSİTY, Turkey
Emin AYDIN Marmara University, Turkey
Endalcachew BAYEH Ambo University, Ethiopia
Enver TATAR Atatürk University, Turkey
Esen ERSOY Ondokuz Mayıs University, Turkey
Esra BUKOVA GÜZEL Dokuz Eylül University, Turkey
Francisco CORDERO Avenida Institute Politecnico Nacional, Mexico
H. Hüseyin UĞURLU Gazi University, Turkey
Hasan ÜNAL Yildiz Teknik University, Turkey
Hatice AKKOÇ Marmara University, Turkey
Hulya GÜR Balikesir University, Turkey
İbrahim YALÇINKAYA Necmettin Erbakan University, Turkey
İlyas YAVUZ Marmara University, Turkey
Jeremy KILPATRICK University of Georgia, USA
John MONAGHAN University of leeds, U.K.
Keziban ORBAY Amasya University, Turkey
Kursat YENİLMEZ Osmangazi University, Turkey
Kursat ERBAŞ Middle East Technical University, Turkey
M. Emin ÖZDEMİR Ataturk University, Turkey
Mehmet UREYEN Anadolu University, Turkey
Melek MASAL Sakarya University, Turkey
International Conference on Mathematics and Mathematics Education (ICMME-2018), Ordu University, Ordu, 27-29 June 2018
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Mine AKTAS Gazi University, Turkey
Mine IŞIKSAL Middle East Technical University, Turkey
Murat ALTUN Uludag University, Turkey
Murat PEKER Afyon Kocatepe University, Turkey
Mustafa KANDEMİR Amasya University, Turkey
Nesrin ÖZSOY Adnan Menderes University, Turkey
Nevin MAHİR Anadolu University, Turkey
Nevin ORHUN Anadolu University, Turkey
Osman GÜRSOY Maltepe University, Turkey
Özge YİĞİTCAN NAYİR Başkent University, Turkey
Patricia Moyer-PACKENHAM Utah State University, USA
Peter WWONG Rmit University, Australia
Ricardo CANTORAL Matematica Educativa, Mexico
S. Ozgun KOCA Wayne State University, USA
Safure BULUT Middle East Technical University, Turkey
Sare ŞENGÜL Marmara University, Turkey
Selahattin ARSLAN Karadeniz Teknik University, Turkey
Senol DOST Hacettepe University, Turkey
Şeref MİRASYEDİOĞLU Başkent University, Turkey
Sibel YEŞİLDERE İMRE Dokuz Eylul University, Turkey
Sinem SEZER Akdeniz University, Turkey
Süha YILMAZ Dokuz Eylül Üniversitesi, Turkey
Tunay BİLGİN Yüzüncü Yıl University, Turkey
Vilma MESA University of Michigan, USA
Yeşim FAZLIOĞLU Tekirdag University, Turkey
International Conference on Mathematics and Mathematics Education (ICMME-2018), Ordu University, Ordu, 27-29 June 2018
xiv
CONTENTS INVITED SPEAKERS .................................................................................................... 1
On the Stability, Asymptotically Stability, Integrability, Uniformly Stability and Boundedness of Solutions for a Class of Non-Linear Volterra Integro - Differential Equations .................................................................................................................... 2
On The Tangent Bundle of A Weyl Manifold ............................................................... 5
Coupled Finite and Boundary Element Adaptive Approximations for the Problems of Elasticity ..................................................................................................................... 6
A Dynamic Private Property Resource Game with Asymmetric Firms ........................ 8
A Model Suggestion in Order to Write Real Life Mathematics Questions in The PISA and TIMMS Character .............................................................................................. 10
On The Education and Teaching of Mathematics and Misconceptions .................... 14
A Comparative Analysis of Clustering Algorithms ..................................................... 15
Abstracts of oral presentations .................................................................. 16
Algebra and Number Theory ............................................................................ 17
m -Adic Residue Codes Over [ ] / ( )sqF v v v ............................................................. 18
2-Crossed Modules from Crossed Squares of Lie Algebras ..................................... 20
A Generalization Of The Class Of Weakly Normal Rings ......................................... 22
A Note On Convolved Fibonacci and Lucas Polynomials ......................................... 23
A Note On Nullnorms On The Unit Interval ............................................................... 25
About Ordering Based On Nullnorms On Bounded Lattices ..................................... 27
An Application of Constacyclic Codes to Entanglement Assisted Quantum Codes .. 29
An Application of Interval-valued Neutrosophic Soft Graphs in a Decision Making Problem .................................................................................................................... 31
An Approach to Semicommutativity of Rings via Idempotents .................................. 33
An Investigation Of Soft Cryptosystem ..................................................................... 35
An Overview Of Methods Generalizing Uninorms .................................................... 37
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Binomial Transforms and Its Applications ................................................................. 39
Change Base For Reduced Quadratic Lie Algebras ................................................. 41
Characterization of L-Fuzzy Soft Modules ................................................................ 43
Classification of Optimal Additive Toeplitz Codes Over GF(4) .................................. 45
Cofinitely -Supplemented Lattices ......................................................................... 47
Cofinitely ss-Supplemented Modules ....................................................................... 49
Construction of The Binary Simplex Codes and The First Order Reed-Muller Codes ................................................................................................................................. 51
Domination Number of Some Trees ......................................................................... 53
Encryption Of Letters Onto Each Other .................................................................... 55
E-Radical Supplemented Modules ........................................................................... 57
Extension Of Gamma And Beta Functions For Conformable
Integrals .................................................................................................................... 59
Finding Characteristic Roots of Matrices of Even Lucas and Fibonacci Numbers .... 62
Fuzzy Roughness in LA- -Semigroups ................................................................... 64
Generalized Fuzzy Soft Groups ................................................................................ 66
G-Supplemented Lattices ......................................................................................... 68
Interval-valued Neutrosophic Soft Graphs ................................................................ 70
Locally Nilpotent p-Groups Whose Proper Subgroups Are ....................................... 72
Mathematic Teaching With Short Film: First Order Equation With One Unknown .... 74
Modules with ss-supplements over Commutative Domains ...................................... 76
Modules With the Properties (δ-E*) and (δ-EE*) ....................................................... 78
On A Weighted Class Of Caputo Fractional Derivatives, Their Representations
And Properties .......................................................................................................... 80
On Fuzzy Retract of a Fuzzy Loop Space ................................................................ 82
On Graph Polynomials Of Some Trees ................................................................... 84
On Injective Modules ................................................................................................ 85
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On Left (σ,τ)-Jordan Ideals And Generalized Derivations ......................................... 87
On Low Dimensional Leibniz Algebras ..................................................................... 89
On Multiplicative Generalized Semiderivation in Semiprime Rings .......................... 90
On Skew-Centrosymmetric Matrices ........................................................................ 92
On Some Relations Between Continued Fractions and Fibonacci Numbers ............ 94
On Some Special Classes Of Nullnorms On Bounded Lattices ................................ 96
On Sophie Germain Primes ...................................................................................... 98
On The Distance-Sum-Connectivity Matrix ............................................................. 100
On The Dodgson Condensation Method ................................................................ 102
On the LOG and EXP Operators on Isoboric Polynomials...................................... 103
On The Properties Of Hyperbolic Trigonometric Operators .................................... 105
On the The Maximum Determinant of Lower Hessenberg (0,1) Matrix .................. 107
Parametric Soft Semigroups ................................................................................... 108
Soft Lattice Structures and Their Properties ........................................................... 110
Soft Linear Transformations between Vector Spaces ............................................. 112
Solution of Nonlinear Fredholm Integral Equation ................................................. 114
Some Binomial Double Sums ................................................................................. 116
Some Equations in Semiprime Rings With Multiplicative Generalized Semiderivation ............................................................................................................................... 118
SP-Fuzzy Soft Ideals in Semigroups ...................................................................... 120
ss-Radical And Strongly ss-Radical Supplemented Modules ................................. 122
Strongly Local Modules and Rings ......................................................................... 124
Structure of Cyclic Codes over s sp pu and Some Special Family of Them ...... 126
Two New Classes of EAQMDS Codes From Constacyclic Codes ......................... 128
ANALYSIS ............................................................................................................... 130
A New Semi-Normed Sequence Space Of Non-Absolute Type ............................. 131
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A Note on Superposition Operators on Linear n-Normed Spaces .......................... 133
Accretive Canonical Type Quasi-Differential Operators for First Order .................. 135
Canonical Type First Order Boundedly Solvable Differential Operators ................. 137
Compactness of Upper Triangular One-Band Block Operator Matrices ................. 139
Discreteness of Spectrum of Normal Differential Operators for First Order ............ 141
Explicit Upper Bounds For The Spectral Distance Of Two Trace Class Operators 143
Generalized Cesaro Summability of Order β .......................................................... 145
Hermite-Hadamard Inequality for Strongly GA-Convex Functions .......................... 147
Hermite-Hadamard Inequality for Strongly p-Convex Functions ............................. 149
Hermite-Hadamard Type Inequalities For Quasi-Convex Functions Via Fractional Integrals .................................................................................................................. 151
Improvement of Hermite-Hadamard Type and Midpoint Type Inequalities for Convex Functions via Conformable Fractional Integral ....................................................... 153
Lacunary Statistical Convergence for Sequences of Dual Numbers ...................... 155
Lucas Difference Sequence Spaces and ................................... 157
Midpoint Type Inequalities for the Multiplicatively P-Functions ............................... 159
Modelling of Turkey Health Survey Data with Artificial Neural Networks ................ 161
Multiplicatively P-functions ...................................................................................... 163
Multiplication Operators On Grand Lorentz Spaces ............................................... 165
New Inequalities for Operator (alpha,m)-preinvex Functions in Hilbert Spaces ...... 167
New Inequalities on Lipschitz Functions ................................................................. 169
New Integral Inequalities for Operator h-preinvex Functions in Hilbert Spaces ...... 171
New Type Integral Inequalities for n-Times Differentiable Prequasiinvex Functions173
Non-Newtonian Superposition Operators on ( )p N , 0 ( )c N and ( )c N into 1( )N .. 175
On -Convergence Of Folner Sequences On Amenable Semigroups .................. 177
On (∆m,f)-Statistical Convergence Of Order β......................................................... 179
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On I-Asymptotically Lacunary Statistical Equivalence of Functions on Amenable Semigroups ............................................................................................................ 181
On Non-Newtonian Measure For Closed Sets ........................................................ 183
On Qi Type Integral Inequalities and Their Applications ......................................... 185
On The Fine Spectra Of The Jacobi Matrix Over Certain Sequence Spaces ......... 187
On the Hermite-Hadamard Type Inequalities for Strongly Convex Functions via Katugampola fractional integrals ............................................................................ 189
On the Variable Exponent Spaces and Maximal Operators ............................. 191
On the Variable Exponent Spaces and Riesz Transforms ............................... 193
Quantitative Perturbation Theory For Operators Belonging To Compactness Classes ............................................................................................................................... 195
Some Algebraic and Topological Properties of New Lucas Difference Sequence Spaces.................................................................................................................... 197
Some Convergence Theorems for Multipliers ......................................................... 199
Some General Integral Inequalities for Lipschitzian Functions via Conformable Fractional Integral ................................................................................................... 201
Some Inequalities Related to -Strongly Convex Functions .................................. 203
Some New Inequalities for Lipschitz Functions via a Functional ............................ 205
Some New Inequalities for Operator m-preinvex Functions in Hilbert Spaces ........ 207
Some New Integral Inequalities for Multiplicatively Geometrically P-Functions ...... 209
Some Properties Of Convex Functions Via Non-Newtoian Calculus ...................... 211
Strongly (∆,f)-Cesaro Summability of Order β ........................................................ 213
Subdivision Of The Spectra Of The Generalized Difference Operator ( , )B r s on The
Sequence Space cs ................................................................................................ 215
The Discreteness Of The Spectrum Of The Operator Schrödinger Equation And Some Properties Of The S-Numbers Of The Inverse Schrödinger Operator .......... 217
The Disjoint Spectrum of the Weighted Mean, Cesaro and Rhaly Operators Various Sequence Spaces. ................................................................................................. 219
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The Lower And Upper Bounds Of Discrete Generalized Cesaro Operators And Its
Fine Spectrum On pl (1 )p .......................................................................... 222
Trapozoidal Type Inequalities Related To Geometrically Aritmetic Convex Functions With Application ...................................................................................................... 224
Trapozoidal Type Inequalities Related To Ha Convex Functions With Application . 226
Two-Weighted Inequalities for High Order Riesz-Bessel Transforms in Weighted Lebesgue Spaces ................................................................................................... 228
Applied Mathematics ........................................................................................ 230
A Hermite Collocation Method For The Approximate Solutions Of High-Order Linear Volterra Integro-Differential Equations .................................................................... 231
A New Decision Making Model Based on Soft Set Theory ..................................... 233
A Novel Hybrid Method for Singularly Perturbed Delay Differential Equations ....... 235
A Numerical Method for Singularly Perturbed Nonlocal Boundary Value Problem on Bakhvalov Mesh ..................................................................................................... 237
A Study on Hermite-Hadamard Type Inequalities via New Fractional Conformable Integrals .................................................................................................................. 239
A Study On Reliability Bounds ................................................................................ 241
A View on Intuitionistic Fuzzy Soft Near Rings ....................................................... 243
An Application of Fuzzy Differential Equations in Economics ................................. 245
An Application of the Modified Expansion Method to Nonlinear Partial Differential Equation ................................................................................................................. 247
An Investigation on Linear Differential Equations with Fuzzy Coefficients .............. 249
Analysis of Surface Wave on a Coated Half-Space Caused by In-Plane Surface Loading ................................................................................................................... 251
Applications of Differential Transform Method to Some Random Component Time-Fractional Partial Differential Equations .................................................................. 253
Approximation Properties of Mittag-Leffler Operators via GBS Operators .............. 255
Asymptotic Investigation of The Singular Differential Equations and Error Analysis 257
Behaivours of Random Effected Volterra and Fredholm Integral Equation ........... 259
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Boundedness And Convergence Properties For A Class Of Kantorovich-Type Operators In Variable Exponent Lebesgue Spaces ................................................ 261
Comparison Theorems For One Sturm-Liouville Problem With Nonlocal Boundary Conditions ............................................................................................................... 263
Computational Method for a Singularly Perturbed Mixed Type Delay Differential Problem .................................................................................................................. 265
Determination of The Relationship Between Students' Official Test and Pilot Test In The Transition To High School Using The Intuitionistic Fuzzy Logic ...................... 267
Dirac System for Hahn Difference Operator ........................................................... 269
Discrete Fractional Solution of a Nonhomogeneous Non-Fuchsian Linear Differential Equations ................................................................................................................ 271
Explicit Solutions of the Homogeneous Second Order Differential Equation by means of Fractional Calculus ............................................................................................. 273
Finding single-wave solutions using polynomial methods for analogs of the nonlinear Boussinesq equation .............................................................................................. 275
Finite difference method for delay pseudo-parabolic equations .............................. 277
Fractional Variational Iteration Method for the Random Component Time-Fractional Fornberg-Whitham Equation ................................................................................... 279
Fuzzy Eigenvalue Problem with Eigenvalue Parameter Contained in the Boundary Condition ................................................................................................................ 281
Fuzzy Eigenvalue Problem with Fuzzy Coefficients of Boundary Conditions ......... 283
Fuzzy Revenue for Linear and Quadratic Demand Functions Using Polygonal Fuzzy Number ................................................................................................................... 285
Generalized Fractional-Order Mathematical Model for Bacterial Infectious ............ 287
Green’s Functions For Two-Interval Sturm-Liouville Problems In Direct Sum Space ............................................................................................................................... 290
Hyers-Ulam stability for Caputo-Fabrizio type fractional differential equations ....... 292
Importance of Stokes rays of the singular differential equations ............................. 295
Inverse Nodal Problems For Dirac Differential Operators With Discontinuity Conditions Inside The Interval ................................................................................ 297
Inverse Nodal Problems for Dirac-Type Integro-Differential System with Boundary Conditions Polynomially Dependent on the Spectral Parameter ............................ 300
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Investigation of solutions of the Pade-II equation by MEFM ................................... 303
Investigation of the Sturm-Liouville Problem with Eigenvalue Parameter in the Boundary Condition ................................................................................................ 305
Korovkin type approximation via statistical equal convergence of the deferred Nörlund summability ............................................................................................... 307
Korovkin type theorem for double sequences via power series method in weighted spaces .................................................................................................................... 309
Laguerre Collocation Method for Solutions of Systems of Linear Differential equations ............................................................................................................................... 311
Lazhar Type Inequalities For p-Convex Functions ................................................. 313
Lyapunov Matrix Equations Solution with Iterative Decreasing Dimension Method 315
Mathematical theory of entangled states of spontaneous parametric down conversion (SPDC) ................................................................................................................... 317
Measures Of Some Systems Using System Signature ........................................... 319
Multiple Small Solutions For -Schrödinger- Kirchhoff Equations Via Genus Theory
............................................................................................................................... 321
Numerical Analysis of Backward-Euler Method for Simplified MagnetoHydroDynamics with Linear Time Relaxation ........................................... 323
Numerical Solution of Volterra and Fredholm İntegral Equations by Homotopy Perturbation Method ............................................................................................... 325
Numerical Solutions Of Nonlinear Pantograph Type Delay Differential Equations . 327
On Fuzzy Contractibility .......................................................................................... 329
On Fuzzy Sub-H-Groups ........................................................................................ 331
On Hyers-Ulam-Rassias Stability For First-Order Linear Differential Equations And Bernoulli Differential Equations ............................................................................... 333
On Linear Combination of a Quadratic or a Cubic Matrix and an Arbitrary Matrix .. 335
On Minkowski And Inverse Minkowski Inequalities Via Generalized Fractional Integrals .................................................................................................................. 337
On Stability and Bifurcation Analysis in a Discrete Time Predator-Prey System .... 340
On Surrogate Dual Search Method for Minimum-Cost Flow Problems ................... 342
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On The K_A-Continuity of Real Functions .............................................................. 344
On The Solutions Of The Singular Differential Equations ....................................... 346
On The Stability of ( ) ( , ( ))y x f x y x in The Sense of Ulam ............................... 348
Ostrowski Type Inequalities via New Fractional Conformable Integrals ................. 351
Parameter-Dependent Sturm-Liouville Problems on Time Scales .......................... 353
Persistence and Stability of Synchronization in a System with a Diffusive-Time-Lag Coupling ................................................................................................................. 355
Picone Identity and Some Applications .................................................................. 357
School Success Ranking in Multi Criteria Decision Making with Intuitionistic Fuzzy Logic ....................................................................................................................... 359
Soft Encryption And Aes ........................................................................................ 361
Solutıons Of Lınear Parabolıc Type Equatıons Wıth Homotopy Perturbatıon Method ............................................................................................................................... 363
Solvability And Coerciveness of A Sturm-Liouville Problem With Multipoint-Transmission Conditions ........................................................................................ 365
Some Bounds On The Topological Matrix and The Topological Indices ................ 367
Some Results On Hausdorff Metric For Intuitionistic Fuzzy Sets ............................ 369
Stability Criterion For Fractional Difference Equations with Delay Term ................ 371
Stability of Nonlinear Time Relaxation Model for Simplified MagnetoHydroDynamics and Comparison of Solutions .................................................................................. 374
Statistical Equal Convergence Of Bögel Type Continuous Functions .................... 376
Structural Stability For The Benard Problem With Voight Regularization ............... 378
Symmetric Difference Operation in Soft Matrix Theory ........................................... 380
Tauberian Theorems For Statistical Convergence And Statistical Summability Of Fuzzy Number Valued Functions ............................................................................ 382
The Generalized Hermite-Hadamard type inequalities for Caputo k-fractional Derivatives .............................................................................................................. 384
The Left (Right) Rough Approximations In A Group ............................................... 387
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To The Application Gauss-Hermite Approximate Method For Initial-Boundary Value Problems ................................................................................................................ 389
Computer .............................................................................................................. 391
A Survey On Dynamical Behaviors Of Systems Of Nonlinear Difference Equations ............................................................................................................................... 392
Central Measurement of the Value of a Vertex in Graphs ...................................... 394
Disjunctive Total Domination of Corona Graphs ..................................................... 396
Fuchsian Groups and Continued Fractions ............................................................ 398
Generalized Farey Squences ................................................................................. 400
Global Attractivity of Some Rational Difference Equations ..................................... 402
Group Action and Orbits for Modular group ............................................................ 404
Hierarchical Bucket Queue System for Priority Programming in GPU’s development ............................................................................................................................... 406
Nonoscillation And Oscillation Criteria For A Class Of Higher - Order Difference Equations Involving Generalized Difference Operator ............................................ 408
On Boundedness Of Solutions Of The Rational Difference Equations ................... 410
On Stability Of A Class Of The Nonlinear Difference Equation Systems With Variable Delayed .................................................................................................................. 412
Solving Cross-Matching Puzzle Using Heuristic Approximation with Probabilities . 414
The Normalizer of Modular Group in Picard Group ................................................ 415
Geometry ............................................................................................................. 417
A Note On A Paraholomorphic Riemannian Extension .......................................... 418
A Note on the Generalized Myers Theorem for Riemannian Manifolds .................. 420
Ambrose Type Results for Weighted Ricci Curvature in Finsler Manifolds ............. 422
AW(k)-type Salkowski Curves in Euclidean 3-space IE^3 ...................................... 424
Characteristic Directions of Closed Planar Homothetic Motions ............................. 426
Darboux Vector and Stress Analysis of Centro-Affine Frame ................................. 428
Darboux Vector and Stress Analysis of Equi-Affine Frame..................................... 430
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D-Conformal Curvature Tensor on ( )nLCS Manifolds ........................................... 432
Holditch Type Theorem for Kinetic Energy of Projective Curve under the 1-Parameter Spatial Inverse Motion ............................................................................................ 434
Lifts of Complex Metallic Structure to the Cotangent Bundle .................................. 436
New Examples of Timelike Minimal Surfaces in Lorentz-Minkowski Space ............ 438
On Contact CR-Submanifolds of a Kenmotsu Manifold .......................................... 439
On Rectifying Curves in Dual Space D³ .................................................................. 441
On Sasakian Manifolds Admitting Concurrent Vector Fields .................................. 443
On The Control Invariants of Planar Bezier Curves For Groups (2)M and (2)SM
............................................................................................................................... 445
On The Riemannian Metrics Of The Form J S HfG g g On The Tangent Bundle 447
On Vectorial Moment of the Darboux Vector .......................................................... 449
Position Vectors of Special Smarandache Curves in Galilean 3-Space ................. 451
Recognition Of Plane Paths Under Linear Similarity Transformations .................... 453
Rectifying, Normal and Osculating Curves in Minkowski 3-Space .......................... 455
Ricci Solitons on Ricci Pseudosymetric a Normal Paracontact Metric Manifold .... 457
Smarandache Curves Obtained from Salkowski Curve .......................................... 459
Smarandache Curves of Alternative Frame ............................................................ 461
Some Inequalities For Ricci Solitons ...................................................................... 463
Some Notes On The Diagonal Lifts Of Affinor Fields Along A Cross-Section On
( )pqT M .................................................................................................................... 465
Some Properties of 2x2 Complex Semi Quaternion Matrices ................................. 467
Surface Family With A Common Mannheim B-Asymptotic Curves ......................... 469
Surface Family With A Common Mannheim B-Geodesic Curves ........................... 471
Surface Family With A Common Natural Asymptotic Lift Of A Spacelike Curve With Spacelike Binormal In Minkowski 3-Space ............................................................. 473
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Surface Family with a Common Natural Geodesic Lift of a Spacelike Curve with Spacelike Binormal in Minkowski 3-space .............................................................. 474
The Characteristic Point of Double Hinge Movement under Homothetic Inverse Motion ..................................................................................................................... 476
The Dual Spatial Quaternionic Expression of Ruled Surfaces ................................ 478
The Integral Invariants and The Gauss Curvatures of Ruled Surfaces Which are Generated by Instantaneous Pfaff Vectors of The Dual Parallel Equidistant Ruled Surfaces ................................................................................................................. 480
The Ricci Solitons with Concurrent Vector Fields ................................................... 482
Two Special Linear Connections on a Differentiable Manifold Admitting an Almost Product Structure .................................................................................................... 484
Ulisse Dini-type Helicoidal Hypersurface 4-Space .................................................. 486
Ulisse Dini-type Helicoidal Surface in 3-Space ....................................................... 488
Logics .................................................................................................................... 490
A Note On New Ring Structure ............................................................................... 491
A Research On Symbolic Logic In Last Term Of The Ottoman .............................. 493
Correspondence in the First and Second Order Semantics for Modal Logic .......... 495
The Historical Course Of Symbolic Logic ............................................................... 497
Mathematics Education ................................................................................... 499
5E Learning Model In Mathematics Teaching: A Sample Lesson Plan .................. 500
6th Grade Students’ Construction Processes of Common Multiple Concept .......... 502
A Recognition Algorithm of Some Harmonic Chart Patterns in R:Trading Strategies on Financial Markets .............................................................................................. 504
A Structural Equation Model for the Beliefs of Mathematical Connection and Problem Solving of High School Students ............................................................................ 505
A Study on Developing a Scale on Attitude Towards Using Mathematics .............. 507
Academic Participation View Through Mathematical Literacy Problems ................ 509
An Analysis of Studies Investigating Mathematical Thinking and Its Stages .......... 511
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An Analysis of the Effect of Critical Thinking Based Applications on Students' Mathematical Achievement and Attitudes ............................................................... 513
An Analysis of the Ratio and Proportion Problems in Middle School Textbooks in the Context of Conceptual and Procedural Knowledge ................................................ 515
An Assessment Of Pre-Service Mathematics Teachers’ Knowledge And Opinions About Misconceptions ............................................................................................ 518
An Evaluation Of 7th Grade Mathematics Textbook’s Data Handling Learning Domain: A Document Analysis ............................................................................... 520
An Investigation Of Mathematics Contents Of Children Periodicals In Terms Of Problem Specifications ........................................................................................... 522
An Investigation Of Middle School Mathematic Preservice Teachers’ Lesson Plans In Terms Of Mathematical Process Skills In Teaching Practice .................................. 524
An Investigation Of The Process That 6th Grade Middle-School Students Construct Knowledge Of Direct Proportion And Inverse Proportion According To Rbc+C Model: A Teaching Experiment .......................................................................................... 526
An Investigation of Middle School Preservice Mathematics Teachers’ Statistical Content Knowledge ................................................................................................ 529
An Investigation of the Mathematical Properties of Spirograph Models with GeoGebra ............................................................................................................................... 531
An Iplementation of STEM Education in the Context Of Astronomy: Reflections from a Project On Modelling With Robots ....................................................................... 532
Analysis Of Middle School Mathematics Teaching Programs Implemented Between 1998-2013 .............................................................................................................. 534
Analysis Of Define- And Drawing-Skills Of Secondary School Students: Parallelogram Example........................................................................................... 536
Analyze of Middle Grade Students’ Number Sense ................................................ 538
Analysing Mathematical Tasks In Lesson Plans Done By Prospective Mathematics Teachers ................................................................................................................. 540
Assessment of mathematical storytelling activities in the context of 7th grade students’ abilities to drawing graphs ...................................................................................... 542
Assessment Of Preservice Mathematics Teachers’ Opinions On Teaching Practice Within The Scope Of Teaching Practices Expressions ........................................... 544
Cognitive and Contextual Structure of Prospective Teachers’ Mathematical Problems in the Context of Problem Posing ........................................................................... 546
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Determination of Mathematical Competences on Realistic Mathematics Problems 549
Determination of Secondary School Students' Attitudes Towards Mathematics and Their Mathematical Achievements .......................................................................... 551
Developing a Checklist in Question Design for Mathematical Literacy and an Application .............................................................................................................. 553
Developing Achievement Test to Evaluate the Success of 7th Grade Students at Secondary School for the Topic of ‘Rational Numbers’ .......................................... 555
Development of the STEM Viewpoint Scale: Validity and Reliability Study ............ 557
Effect Of Teaching Creative Drama On Teaching Geometry .................................. 559
Effect On The Students' Spatial Thinking Of Vocational Areas .............................. 561
Examining The Views Of Class Teachers On Mathematics Teaching: A Phenomenological Study ........................................................................................ 563
Examination of 8-Grade Students About Their Performance of Problem Posing: Data Processing Example ............................................................................................... 565
Examining Mathematics Teacher’s Expectations Regarding to Basic Mathematical Qualifications from Students Who Have Started the Secondary School ................. 567
Fourier Method for Inverse Coefficient Euler-Bernoulli Beam Equation .................. 569
How Does Pre-service Primary Teachers Explain Area?........................................ 571
Identifying The Spatial Strategies Of Pre-Service Middle School Mathematics Teachers ................................................................................................................. 573
Instructional Design To Enhance Students’ Learning Of Mathematics ................... 576
Investigation The Possible Causes And The Prevention Suggestions Of Misconception In The Exponential Expressions Based On The Views Of The Teacher Candidates ............................................................................................................. 578
Investigate the Development of Preservice Teachers’ Knowledge of Teaching Strategies by the Lesson Study Method ................................................................. 580
Investigate the Levels of Meaningfully Remembering Geometric Formulae of Preservice Mathematics Teachers’ ......................................................................... 582
Investigating Preservice Mathematics Teachers’ Proving Skills ............................. 584
Investigation of Middle School Mathematics Teachers’ Skills of Using Mathematical Language in Problem Posing Process .................................................................... 587
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Investigation of PISA Problem Posing Skills of Mathematics Teacher Candidates 589
Investigation of Pre-service Elementary Mathematics Teachers’ Beliefs about Mathematics Teaching Self-Efficacy and Mathematics, Teaching and Learning .... 591
Investigation of Pre-service Elementary Mathematics Teachers’ Knowledge of Interpreting Line Graph ........................................................................................... 593
Investigation of Secondary Pre-service Mathematics Teachers’ Pedagogical Content Knowledge of Proof ................................................................................................ 595
Investigation of Secondary Pre-service Mathematics Teachers’ Difficulties with Proving ................................................................................................................... 598
Investigation of Teachers' Awareness of Interdisciplinary Mathematical Modeling Problem .................................................................................................................. 600
Investigation of the Opinions of Students Studying in the Rural Area on the Use of Mathematics in Agriculture ..................................................................................... 602
Investigation of the problem solving processes of "definite integral" of science student teachers .................................................................................................................. 604
Investigation of Written Arguments of Pre-service Teachers about Fractions ........ 606
Investigation of Concept Images of Elementary Preservice Mathematics Teachers in The Context of "Convergence of A Sequence. ....................................................... 608
Mathematics Teachers' Views On The Web Site 'Education Information Network' Known As ‘Eba’ In Turkey ....................................................................................... 610
Mathematical Literacy Levels of 11 Years Old Students ........................................ 612
Mathematical Modeling of Ablation of Carbon Fiber Reinforced Plastics by Laser . 614
Mathematics Through Faculty Of Education Students' Eyes .................................. 616
Middle School Students’ Transition from Arithmetic to Algebra in The Context of Equation Problems ................................................................................................. 618
Misconceptions of Sixth Grade Secondary School Students on Fractions ............. 620
Model and (Mathematical) Modelling: Academicians’ Knowledge .......................... 622
Negative Automatic Thoughts of Secondary School Students When They Encounter Verbal Story Problems ............................................................................................ 625
Obtaining Acquisitions on the Values in the Secondary Education Mathematics Curriculum through Creative Drama Activities ........................................................ 627
International Conference on Mathematics and Mathematics Education (ICMME-2018), Ordu University, Ordu, 27-29 June 2018
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Opinions of High School Students About the Writing Technique Applied in the Mathematics ........................................................................................................... 629
Orthographic and Isometric Drawing Ability of 5th Grade Students ........................ 631
Preschool Teacher Candidates’ Content Knowledge on Two Dimensional Shapes 633
Preschool Teachers’ Concept Definitions: The Case of 2d Shapes ....................... 635
Preservice Elementary Mathematics Teachers’ Concept Images Related to the Ratio and Proportion Concepts ........................................................................................ 637
Pre-service Mathematics Teachers’ Construction Process of Nine Point Circle with Geometers’ Sketchpad: The Case of Emre ............................................................ 639
Pre-Service Mathematics Teachers’ Mathematisation Processes In Modelling Activities ................................................................................................................. 641
Pre-service Teachers’ Views about the Solution Suggestions for Overcoming the Student’s Mistakes and Misconceptions ................................................................. 643
Primary School Teacher Candidates’ Pedagogical Content Knowledge on Quadrilaterals ......................................................................................................... 645
Problem Solving Approaches of Preservice Teachers ............................................ 647
Processes of Solving Linear Figure Pattern Problems of Primary School Students at Different Learning Levels ........................................................................................ 649
Prospective Preschool Teachers' Pedagogical Content Knowledge on Quantity Concepts in Terms of Children's Mistakes .............................................................. 652
Realistic Mathematics Education and Derivative Learning Opinions of 12th Grade Students about Realistic Mathematics Education and Derivative ........................... 654
Reconfigurable Kalman Filter For Estimation Of Helicopter Flight Dynamics ......... 656
Reflection From Teaching Using Eba: The Case Of Triangle Basic Elements ....... 658
Reflections on Instruction of Inequality and Absolute Value: A Research on the Action ............................................................................................................................... 660
Reflections on Pattern Generalization Processes of 8th Grade Students ................ 662
Secondary School Mathematics Teacher Candidates’ Competence in Mathematical Proof Methods ........................................................................................................ 665
Secondary School Students' Attitudes Towards Mathematics And Its Relationship To Science, Technology, Mathematics And Engineering Professions ......................... 667
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Self-Evaluations of High School Students Regarding to Own Metacognitive Behaviours In Problem Solving ............................................................................... 669
Self-regulation skills in Pre-service math teachers’ as learning and as teaching roles: A case of Algebra ................................................................................................... 671
Some Considerations in Teaching Concepts of Eigenvalues and Eigenvectors ..... 673
Student Status Determination in Mathematics Course ........................................... 675
Students’ Performance in Linear Functions with Different Representations: A Cross-Age Study ............................................................................................................... 677
Teachers' Mathematical Modeling Competencies: Task Dimension ....................... 679
Teaching Maths To The Gifted Students Through Differentiated Teaching Method 682
Teaching Mathematics and Creative Drama: A Sample Lesson Plan .................... 684
The Analysis On Scientific Studies About Realistic Mathematics Teaching Approach ............................................................................................................................... 686
The Criteria That Mathematics Teachers Pay Attention While Creating Written Exam Questions and Determining Awareness of Misconceptions in This Context ........... 688
The Discovery of an Educational Mathematics Game: “Let's Put a Number with Minus Here” ...................................................................................................................... 689
The Effect of 5E Learning Model Based Activities on The Process of Creating the Concept of Congruency and Similarity of 8th Grade Students ................................ 691
The Effect of Realistic Mathematics Education on the Academic Achievement and Attitudes of the 12th Grade Students on Derivative ................................................ 693
The Effect of Sudoku, Futoshiki and Kakuro Puzzles on 8th Grade Students’ Achievement on Equality and Inequality Subjects .................................................. 695
The Effects of Discovery-Based Teaching Strategy on 8th Grade Students’ Mathematical Reasoning and Connecting Skills ..................................................... 697
The Impact of Reading on Students’ Problem Solving Skills and Their Mathematics Success* ................................................................................................................. 699
The Influence of Mathematics History on Students' Mathematical Attitudes ........... 701
The Influence of Mathematics History on the Academic Achievement of Middle School 8th Grade Students ..................................................................................... 703
The Investigation of Algorithmic Thinking Skills of 5th and 6th Graders According to Different Variables .................................................................................................. 705
International Conference on Mathematics and Mathematics Education (ICMME-2018), Ordu University, Ordu, 27-29 June 2018
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The Investigation of Algorithmic Thinking Skills of 5th and 6th Graders at a Theoretical Dimension ............................................................................................................... 707
The Investigation of Pre-service Teachers’ Knowledge of Teaching Strategies for Comparing Decimals .............................................................................................. 709
The Investigation of the Relationship Between Mathematical Connection Skill and Self-Efficacy Belief .................................................................................................. 711
The Nature of Prospective Middle School Mathematics Teachers’ Contextual Problems about Linear Graphs ............................................................................... 713
The Peer Assessment of Mathematics Games Designed by Scratch Programming Language ................................................................................................................ 716
The Relationship Between The Misconceptions Eight Graders Have About Algebra And Their Metacognitive Awareness ...................................................................... 719
The Relation Between the Number Sense and Self-Efficacy towards Number Sense of the Sixth Grade Students .................................................................................... 721
The Relationship between Success of Abstract Mathematics Lesson and Metacognitive Awareness and Attitude toward Proof ............................................. 723
To What Extent is the Westside Test Anxiety Scale (WTAS) Reliable? ................. 726
Understanding The Role of Data Collection In Doing Statistics: A Case Study with Middle School Preservice Teachers ....................................................................... 728
Use of Mental Games in Mathematics Lesson Plans ............................................. 730
Views and Designed Activities of Mathematics Teacher Candidates Who Got Trained About STEM ........................................................................................................... 733
Views of Prospective Teachers About The Teaching Mathematics With Games ... 735
What is Open-Ended Question? What is It Not? ..................................................... 737
What Paper Folding Can Do For The Concepts of Parallelism and Perpendicularity ............................................................................................................................... 739
Statistics ............................................................................................................ 742
A Brief Overview on The Geometry of The Uncentered Coefficient of Determination ............................................................................................................................... 743
A Comparison of Variation Coefficients of Biochemical Reaction Model for Several Probability Distributions .......................................................................................... 745
International Conference on Mathematics and Mathematics Education (ICMME-2018), Ordu University, Ordu, 27-29 June 2018
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A Generalization of the Hermite-Hadamard’s Inequality for Convex Stochastic Processes on the co-ordinates ............................................................................... 747
A Look at the Generalized Mathematical Model Named as Koya-Goshu Model for Biological Growths .................................................................................................. 749
A New Estimator for Ergodic Distribution of a Semi-Markovian Renewal Reward Process when Demand Distributions Belongs to the L∩D Subclass of Heavy Tailed Distributions ............................................................................................................ 751
A Parametric Estimator for the Geometric Function in Geometric Process with Exponential Interarrival Times ................................................................................ 753
A Study Over Determination Of Asymptotic Deceleration And Absolute Acceleration Points In Logistic Growth Model ............................................................................. 755
A Study Over The Effect Of Mean Curvature And Arc Length Values In Selecting The Appropriate Growth Model ...................................................................................... 757
An Application of Smooth Goodness of Fit Tests for Gamma Response Model ..... 759
Asymptotic Expansions for the Moments of the Random Walk with a Normal Distributed Interference of Chance ......................................................................... 761
Calculating the Moments of Circular Data Using Angular Distance ........................ 763
Comparison Of Goodness Of Fit Tests For Lomax Distribution .............................. 765
Comparison of Page-type Tests in Repeated Measures Designs .......................... 767
Detection of the Periodicity and Forecasting: A Study for Air Pollution in Ankara ... 769
Estimation of the Mean Value Function for Gamma Trend Renewal Process ........ 771
Evaluating Fuzzy System Reliability Using Weibull Hazard Function ..................... 773
Forecasting of Daily Electricity Consumption for Turkey ........................................ 775
Generalized Inverses of Linear Transformations in Hilbert Spaces and Some Applications in Statistics ......................................................................................... 777
Hermite-Hadamard Type Inequalities for Convex Stochastic Processes on the n-co-ordinates ................................................................................................................. 779
Hermite-Hadamard Type Inequalities for Mean-Square Differentiable r-Convex Stochastic Processes Using Fractional Integral Operators ..................................... 781
Investigation of Different Output Probability Distribution in Hidden Markov Model . 783
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Investigation of A Model For Polio By Using Random Differential Equations and Parameters with Gaussian Distribution ................................................................... 785
Kalman Filter Based Sensor Fault Detection And Isolation Algorithms Applied To Helicopter Dynamics ............................................................................................... 787
L Moment And TL-Moment Estimation For Two Parameter Lindley Distribution And Its Application ......................................................................................................... 789
Limit Theorem for a Semi-Markovian Random Walk with Two Barriers .................. 791
Linear Prediction in Hilbert Spaces ......................................................................... 793
Parameter Estimation In Semi-Geometric Process With Exponential Interarrival Times ...................................................................................................................... 795
Performance of Goodness of Fit Tests of Nakagami Distribution against Generalized Nakagami Distribution ............................................................................................ 798
Recently Some Important Studies Delivered on the Least Squares Fitting of Quadratic Curves and Surfaces .............................................................................. 800
Some Bounds for the Mean Value Function of the Remaining Life Process Based on an Integral Equation ............................................................................................... 802
Some Equalities For Covariance Matrices Of Blups Under General Linear Mixed Model ...................................................................................................................... 804
Some Fractional Integral Inequalities for Mean-Square Twice-Differentiable r-Convex Stochastic Processes ............................................................................................. 806
Some Integral Inequalities of the Hermite-Hadamard Type for ............................... 808
Topology .............................................................................................................. 810
∂-Connected Object In The Category Of Proximity Spaces .................................... 811
A Note on Hausdorffness and Compactness in the Category of Proximity Spaces 813
Hosoya Polynomial of Graphs Belonging to Twist Knots ........................................ 815
Internal Categories In The Category of Semi-Abelian Algebras ............................. 817
Local Pre-Hausdorff Constant Filter Convergence Spaces .................................... 819
Local T2 Constant Filter Convergence Spaces ....................................................... 821
Local T0 Filter Convergence Spaces ..................................................................... 823
Local T1 Preordered Spaces ................................................................................... 825
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xxxiv
Monodromy Groupoids for topological group-groupoids and Topological Double Groupoids ............................................................................................................... 827
Multiple Neutrosophic Topolojical Spaces .............................................................. 829
On Disoriented Knot Theory ................................................................................... 831
On Ordered Hyperspace Topologies in The Setting Of Čech Closure Ordered Spaces ............................................................................................................................... 833
On Soft Topological Subspace ............................................................................... 835
Some Fixed Point Results For Fuzzy (h,β)-Contractive Mappings in Non-Archimedean Fuzzy Metric Spaces ........................................................................ 837
Some Fixed Point Theorems in Modular Spaces .................................................... 839
Topological R-Module Groupoids ........................................................................... 841
Topological T- algebras .......................................................................................... 843
Tutte Polynomial for Graphs of Twist Knots ............................................................ 845
Abstracts of Poster presentations ............................................................ 847
A Note On Bounded Engel Elements In Groups ..................................................... 848
Almost Generalized Derivations ............................................................................. 849
Ambarzumyan Theorem on a Time Scale .............................................................. 851
An Investıgatıon of The Relationship Between 9th Grade Students’ Performance on Non-Routine Mathematics Problems and Their Mathematics Anxıety .................... 853
Characterization of Physics and Mathematics of Quantum Entanglement Via Ion-Photon System ....................................................................................................... 856
Examining Classroom Experiences and Perspectives of Middle School Mathematics Teachers On The Use of Tablets ............................................................................ 858
Exploring Personal Theories of a Prospective Middle School Mathematics Teacher ............................................................................................................................... 861
Generalized Derivations of Hyperlattices ................................................................ 863
Investigating a Middle School Mathematics Teacher’s Responses to Pivotal Teaching Moments ................................................................................................................. 865
Some Fixed Point Results For Contractive Type Mappings in B-Metric Spaces .... 867
International Conference on Mathematics and Mathematics Education (ICMME-2018), Ordu University, Ordu, 27-29 June 2018
xxxv
Abstracts of Workshop ................................................................................... 869
Student-Centered Mathematics Instruction-Workshop ........................................... 870
LISTS OF PARTICIPANTS OF ICMME-2018 .............................................................. 871
International Conference on Mathematics and Mathematics Education (ICMME-2018), Ordu University, Ordu, 27-29 June 2018
1
INVITED SPEAKERS
International Conference on Mathematics and Mathematics Education (ICMME-2018), Ordu University, Ordu, 27-29 June 2018
2
On the Stability, Asymptotically Stability, Integrability, Uniformly Stability and Boundedness of Solutions for a Class of Non-Linear
Volterra Integro - Differential Equations
Cemil TUNÇ Department of Mathematics, Faculty of Sciences, Van Yuzuncu Yil University, Van, Turkey
ABSTRACT
Volterra integral and integro-differential equations, integral equations and integro-
differential equations have many applications in sciences and engineering (see
Burton [2], Rahman [7], Wazwaz [18] and the cited references therein). Due to these
facts, in the last years, stability, asymptotic stability, uniform stability, boundedness,
exponentially stability, etc., of linear and non-linear Volterra integro-differential
equations, Volterra integral equations, integral equations and integro-differential
equations have been discussed by many researches. In particular, as a brief
information, the reader can referee to the articles of Becker [1], Furumochi and
Matsuoka [3], Graef et al. [4], Mahfoud [5], Raffoul [6], Rama Mohana Rao and
Srinivas [8], Tunç ([9], [10], [11], [12]), Tunç and Mohammed [13], Tunç and Tunç
([14], [15]), Wang ([16], [17]) and the works mentioned in that sources for the
former scientific results that can be found in the literature on the diverse qualitative
behaviors of various of Volterra integro-differential equations, Volterra integral
equations, integral equations and integro-differential equations.As a distinguished
information from this line, the following article is notable. In 2000, Wang [17]
considers the following Volterra integro-differential equation
0
( ) ( ) ( , ) ( ) ,
tdx
A t x t C t s x s dsdt
(1)
in which t is non-negative and real variable, ,nx ,1n (.)A and (.)C are
nn matrices, which are continuous for 0 t and 0 ,s t respectively.
Wang [17] proves three theorems related to the stability, uniform stability and
asymptotic stability of solutions of Volterra integro-differential equation (1). The
author give