Education Information
1999 - 2003
1999 - 2003Doctorate
Erciyes University, Fen Bilimleri Enstitüsü, Matematik, Turkey
1993 - 1996
1993 - 1996Postgraduate
Erciyes University, Fen Bilimleri Enstitüsü, Matematik, Turkey
1988 - 1992
1988 - 1992Undergraduate
Erciyes University, Fen Edebiyat Fakültesi, Matematik, Turkey
Research Areas
Mathematics
Differential Equations
Natural Sciences
Academic Titles / Tasks
2020 - Continues
2020 - ContinuesProfessor
Erciyes University, Fen Fakültesi, Matematik
2003 - Continues
2003 - ContinuesAssistant Professor
Erciyes University, Fen Fakültesi, Matematik
2014 - 2020
2014 - 2020Associate Professor
Erciyes University, Fen Fakültesi, Matematik
Managerial Experience
2016 - 2022
2016 - 2022Assistant Director of the Institute
Erciyes University, Fen Bilimleri Enstitüsü
Courses
Advising Theses
2017
2017Doctorate
NÖTRAL DİFERENSİYEL DENKLEMLERİN SALINIM YAPMAYAN ÇÖZÜMLERİNİN VARLIGI
ŞENEL M. T.
B.ÇINA(Student)
2014
2014Doctorate
Zaman Skalasında Dinamik Denklemlerin Çözümlerinin Davranışı Üzerine
ŞENEL M. T.
N.Utku(Student)
2012
2012Postgraduate
Zaman Skalasında Yüksek Mertebeden Dinamik Denklemlerin Çözümlerini Davranışı
ŞENEL M. T.
E.Özkan(Student)
2011
2011Postgraduate
Zaman Skalasında Nötral Gecikmeli Dinamik Denklemlerin Salınımsız Çözümlerinin Varlığı
ŞENEL M. T.
İ.Ulusoy(Student)
2009
2009Postgraduate
İkinci Basamaktan Yarı lineer Diferensiyel Denklemlerin Çözümlerinin Davranışı Üzerine
ŞENEL M. T.
E.Aktaş(Student)
2009
2009Postgraduate
İkinci Basmaktan Diferensiyel Denklemlerin Çözümlerinin Davranışı Üzerine
ŞENEL M. T.
E.Tokel(Student)
2007
2007Postgraduate
İkinci Mertebeden Diferensiyel Denklemlerin Çözümlerinin Davranışı
ŞENEL M. T.
N.Balaban(Student)
Published journal articles indexed by SCI, SSCI, and AHCI
2023
2023A novel fractional order model of SARS-CoV-2 and Cholera disease with real data
ÖZKÖSE F., Habbireeh R., ŞENEL M. T.
Journal of Computational and Applied Mathematics
, vol.423, 2023 (SCI-Expanded)
2022
2022Fractional order modelling of omicron SARS-CoV-2 variant containing heart attack effect using real data from the United Kingdom
ÖZKÖSE F., Yavuz M., ŞENEL M. T., Habbireeh R.
Chaos, Solitons and Fractals
, vol.157, 2022 (SCI-Expanded)
2021
2021A Fractional Modeling of Tumor-Immune System Interaction Related to Lung Cancer with Real Data
Ozkose F., Yılmaz S., Yavuz M., Ozturk I., Şenel M. T., Bagci B. S., et al.
EUROPEAN PHYSICAL JOURNAL PLUS
, vol.137, no.1, 2021 (SCI-Expanded)
2019
2019Synchronization of bidirectional N-coupled fractional-order chaotic systems with ring connection based on antisymmetric structure
Jiang C., Zada A., ŞENEL M. T., Li T.
ADVANCES IN DIFFERENCE EQUATIONS
, vol.2019, no.1, 2019 (SCI-Expanded)
2019
2019On Novel Nonhomogeneous Multivariable Grey Forecasting Model NHMGM
Wang H., Wang P., ŞENEL M. T., Li T.
MATHEMATICAL PROBLEMS IN ENGINEERING
, vol.2019, 2019 (SCI-Expanded)
2019
2019Existence of nonoscillatory solutions of second-order nonlinear neutral differential equations with distributed deviating arguments
ŞENEL M. T., Candan T., ÇINA B.
JOURNAL OF TAIBAH UNIVERSITY FOR SCIENCE
, vol.13, no.1, pp.998-1005, 2019 (SCI-Expanded)
2018
2018Kamenev-type criteria for nonlinear second-order delay dynamic equations
ŞENEL M. T., Utkut N., El-Sheikh M. M. A., Li T.
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
, vol.47, no.2, pp.339-345, 2018 (SCI-Expanded)
2015
2015An asymptotic criterion for third-order dynamic equations with positive and negative coefficients
Utku N., Li T., ŞENEL M. T.
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
, vol.44, no.5, pp.1157-1162, 2015 (SCI-Expanded)
2014
2014Oscillation criteria for third-order neutral dynamic equations with continuously distributed delay
ŞENEL M. T., Utku N.
ADVANCES IN DIFFERENCE EQUATIONS
, 2014 (SCI-Expanded)
2014
2014Oscillation of second-order half-linear differential equations with several neutral terms
Zhang C., ŞENEL M. T., Li T.
Journal of Applied Mathematics and Computing
, vol.44, pp.511-518, 2014 (SCI-Expanded)
2014
2014Oscillation Behavior of Third-Order Nonlinear Neutral Dynamic Equations on Time Scales with Distributed Deviating Arguments
ŞENEL M. T., Utku N.
FILOMAT
, vol.28, no.6, pp.1211-1223, 2014 (SCI-Expanded)
2014
2014Oscillation Behavior Of Third-Order Quasilinear Neutral Delay Dynamic Equations On Time Scales
Utku N., ŞENEL M. T.
FILOMAT
, vol.28, no.7, pp.1425-1436, 2014 (SCI-Expanded)
2013
2013On the Behavior of Solutions of a Third-Order Nonlinear Dynamic Equation on Time Scales
Senel M. T.
UKRAINIAN MATHEMATICAL JOURNAL
, vol.65, no.7, pp.1111-1121, 2013 (SCI-Expanded)
2013
2013Oscillation Theorems for Second-Order Nonlinear Dynamic Equation on Time Scales
Senel M. T.
APPLIED MATHEMATICS & INFORMATION SCIENCES
, vol.7, no.6, pp.2189-2193, 2013 (SCI-Expanded)
2013
2013OSCILLATION OF SOLUTIONS TO SECOND-ORDER HALF-LINEAR DIFFERENTIAL EQUATIONS WITH NEUTRAL TERMS
LI T., ŞENEL M. T., ZHANG C.
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS
, 2013 (SCI-Expanded)
2013
2013Behavior of solutions of a third-order dynamic equation on time scales
Senel M. T.
JOURNAL OF INEQUALITIES AND APPLICATIONS
, 2013 (SCI-Expanded)
2013
2013Oscillation results of second order damped non-linear dynamic equation on time scales
ŞENEL M. T.
Applied Math. Inf. Sciences Letters , vol.1, pp.29-34, 2013 (SCI-Expanded)
2012
2012Oscillation of second order nonlinear neutral differential equation
ŞENEL M. T., Candan T.
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS
, vol.14, no.6, pp.1112-1117, 2012 (SCI-Expanded)
2012
2012Kamenev-Type Oscillation Criteria for the Second-Order Nonlinear Dynamic Equations with Damping on Time Scales
Senel M. T.
ABSTRACT AND APPLIED ANALYSIS
, 2012 (SCI-Expanded)
2009
2009On Behaviour of Solutions for Third Order Nonlinear Ordinary Differential Equations with Damping Terms
ŞENEL M. T., TEMTEK P.
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS
, vol.11, no.2, pp.346-355, 2009 (SCI-Expanded)
2004
2004Nonoscillation theorems for a class of third order differential equations
Temtek P., Senel M. T.
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS
, vol.35, no.4, pp.455-461, 2004 (SCI-Expanded)
Articles Published in Other Journals
2023
2023Existence of Nonoscillatory Solutions of Higher Order Nonlinear Neutral Differential Equations
ÇINA B., CANDAN T., ŞENEL M. T.
European Journal of Pure and Applied Mathematics , vol.16, 2023 (Peer-Reviewed Journal)
2021
2021Fractional-order mathematical modelling of cancer cells-cancer stem cells-immune system interaction with chemotherapy
ÖZKÖSE F., ŞENEL M. T., Habbireeh R.
Mathematical Modelling and Numerical Simulation with Applications
, vol.1, no.2, pp.67-83, 2021 (Peer-Reviewed Journal)
2021
2021Kayseri’de Tramvay Hattı Boyunca Gerçekleşen Trafik Kazalarının İncelenmesi
KÜL A., ŞENEL M. T.
Erciyes Üniversitesi Fen Bilimleri Enstitüsü Dergisi
, vol.37, no.2, 2021 (Peer-Reviewed Journal)
2019
2019EXISTENCE OF NONOSCILLATORY SOLUTIONS OF SECOND-ORDER NEUTRAL DIFFERENTIAL EQUATIONS
ÇINA B., CANDAN T., ŞENEL M. T.
TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS
, vol.9, no.3, pp.666-674, 2019 (ESCI)
2018
2018Positive Solutions of Second-order Neutral Differential Equations with Distributed Deviating Arguments
Şenel M. T., Çına B.
Erciyes Üniversitesi Fen Bilimleri Enstitüsü Fen Bilimleri Dergisi , vol.34, no.1, pp.22-26, 2018 (Peer-Reviewed Journal)
2018
2018ON OSCILLATION OF THIRD ORDER FUNCTIONAL DIFFERENTIAL EQUATION
ŞENEL M. T.
Electronic Journal of Mathematical Analysis and Applications , vol.6, 2018 (Peer-Reviewed Journal)
2017
2017Oscillation of third-order quasilinear neutral dynamic equations on time scales with distributed deviating arguments
ŞENEL M. T., Utku N.
JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS
, vol.17, no.1, pp.41-52, 2017 (ESCI)
2013
2013Oscillation theorems for the second order damped nonlinear dynamic equation on the time scales
ŞENEL M. T.
CONTEMPORARY ANALYSİS AND APPLİED MATHEMATİCS , vol.1, pp.167-180, 2013 (Peer-Reviewed Journal)
2011
2011Oscillation Theorems for Dynamic Equation on Time Scales
Şenel M. T.
BULLETIN OF MATHEMATICAL ANALYSIS AND APPLICATIONS , vol.4, pp.101-105, 2011 (ESCI)
2010
2010On Oscillation of Second-Order Functional Differential Equations with Damping Term
ŞENEL M. T.
Pacific Journal of Applied Mathematics , vol.2, pp.1-5, 2010 (Peer-Reviewed Journal)
2008
2008On nonoscillation of nonhomogeneous third order differential equations with damping terms.
ŞENEL M. T., TEMTEK P.
Appl. Math. Sci. (Ruse) , vol.2, pp.995-1004, 2008 (Peer-Reviewed Journal)
Refereed Congress / Symposium Publications in Proceedings
2019
2019Solvability of infinite system of second-order differential equations
Karakuş E., Şenel M. T.
International Workshop on Dynamical Systems and Applications: In Memory of Prof. Dr. Aydın Tiryaki, Ankara, Turkey, 3 - 04 May 2019, pp.18
2018
2018Positive Solutions of Second-order Nonlinear Differantial Equations
ÇINA B., CANDAN T., ŞENEL M. T.
II. International Scientificand Vocational Studies Congress, Nevşehir, Turkey, 5 - 08 July 2018
2018
2018Positive Solutions of Higher Order Nonlinear Functional Differantial Equations
ÇINA B., CANDAN T., ŞENEL M. T.
II. International Scientificand Vocational Studies Congress, Nevşehir, Turkey, 5 - 08 July 2018
2017
2017Positive solutions of second-order neutral differential equations with forcing term
Candan T., ŞENEL M. T., ÇINA B.
The international conference on Operators in Morrey-type Spaces and Applications, Kırşehir, Turkey, 10 - 13 June 2017, pp.69
2017
2017Positive solutions of second-order neutral differential equations with distributed deviating arguments
ŞENEL M. T., Candan T., ÇINA B.
The international conference on Operators in Morrey-type Spaces and Applications, Kırşehir, Turkey, 10 - 13 June 2017, pp.68
2017
2017Existence of nonoscillatory solutions of second-order neutral differential equations with distributed deviating arguments
ŞENEL M. T., Candan T., ÇINA B.
INTERNATIONAL CONFERENCE ON MATHEMATICS AND ENGINEERING, İstanbul, Turkey, 10 - 12 May 2017, pp.128
2012
2012Oscillation Theorems for Second-Order Damped Dynamic Equation on Time Scales
Senel M. T.
1st International Conference on Analysis and Applied Mathematics (ICAAM), Gümüşhane, Turkey, 18 - 21 October 2012, vol.1470, pp.251-254
2012
2012Zaman skalasında 3. mertebeden nötral dinamik denklemin çözümlerinin davranışı
ŞENEL M. T., Utku N.
15. Ulusal Matematik Sempozyumu, Niğde, Turkey, 1 - 04 September 2012, pp.82
2009
2009Üçüncü Mertebeden Lineer Olmayan Diferensiyel Denklemlerin Çözümlerinin Davranışı
TEMTEK P., ŞENEL M. T.
9. Dinamik Sistemler Çalıştayı, Turkey, 18 - 19 June 2009
2009
2009Üçüncü Mertebeden Lineer Olmayan Dierensiyel Denklemlerin Çözümlerinin Davranışı
ŞENEL M. T., TEMTEK P.
Dinamik Sistemler Çalıştayı, İzmir, Turkey, 1 - 04 June 2009, pp.18
Supported Projects
2021 - Continues
2021 - Continues
AKCİĞER KANSERİNİN MATEMATİKSEL MODELİ VE KARARLILIK ANALİZİ
Project Supported by Higher Education Institutions
ŞENEL M. T. (Executive), GÜNDOĞ M., ÖZKÖSE F.
2015 - 2016
2015 - 2016ZAMAN SKALASINDA TÜMÖR BÜYÜMESİ MODELLEMELERİ
Project Supported by Higher Education Institutions
ŞENEL M. T. (Executive)
2014 - 2016
2014 - 2016Zaman Skalasında Tümör Büyümesi Modellemeleri
TUBITAK Project
ŞENEL M. T. (Executive)
2011 - 2014
2011 - 2014YÜKSEK MERTEBEDEN DİFERENSİYEL DENKLEMLERİN ZAMAN SKALASINDA SALINIMLI VE SALINIMSIZLIK ÖZELLİKLERİ
Project Supported by Higher Education Institutions
ŞENEL M. T. (Executive)
2007 - 2009
2007 - 2009İKİNCİ BASAMAKTAN DİFERENSİYEL DENKLEMLERİN ÇÖZÜMLERİNİN DAVRANIŞI ÜZERİNE .
Project Supported by Higher Education Institutions
ŞENEL M. T. (Executive), TOKEL E.
Activities in Scientific Journals
2016 - Continues
2016 - ContinuesErciyes Üniversitesi Fen Bilimleri Enstitüsü Dergisi
Editor
2014 - Continues
2014 - ContinuesIndıan journal of mahemetıcs and mathematıcal scıences
Editor
2013 - Continues
2013 - ContinuesTransnational Journal of Mathematical Analysis and Applications
Editor
Scientific Refereeing
November 2014
November 2014Journal Journal of Inequalities and Applications
SCI Journal
October 2013
October 2013Advances in Difference Equations
SCI Journal
May 2013
May 2013Journal of Applied Mathematics and Computing
Other Indexed Journal
January 2013
January 2013American Mathematical Society
Other Indexed Journal
December 2012
December 2012The Journal of Nonlinear Science and Applications(JNSA)
Other Indexed Journal
October 2009
October 2009International Journal of Mathematics and Mathematical Sciences
Other Indexed Journal
Congress and Symposium Activities
01 June 2017 - 01 June 2017
01 June 2017 - 01 June 2017INTERNATIONAL CONFERENCE ON OPERATORS IN MORREY-TYPE SPACES AND APPLICATIONS
Attendee
Kırşehir-Turkey
01 June 2017 - 01 June 2017
01 June 2017 - 01 June 2017INTERNATIONAL CONFERENCE ON OPERATORS IN MORREY-TYPE SPACES AND APPLICATIONS
Attendee
-Turkey
01 May 2017 - 01 May 2017
01 May 2017 - 01 May 2017INTERNATIONAL CONFERENCE ON MATHEMATICS AND ENGINEERING
Attendee
İstanbul-Turkey
01 September 2012 - 01 September 2012
01 September 2012 - 01 September 201215. Ulusal Matematik Sempozyumu
Attendee
Niğde-Turkey
01 May 2012 - 01 May 2012
01 May 2012 - 01 May 20127. Ankara Matematik Günleri
Attendee
Ankara-Turkey
01 June 2011 - 01 June 2011
01 June 2011 - 01 June 2011Yıldız Technical University International conference On Applied Analysis And Algebra
Attendee
İstanbul-Turkey
01 July 2010 - 01 July 2010
01 July 2010 - 01 July 201013. Ulusal Matematik Sempozyumu-Erciyes Universitesi
Attendee
Kayseri-Turkey
01 June 2009 - 01 June 2009
01 June 2009 - 01 June 2009