Education
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
Research Areas Based on Academic Activities
Avesis Research Areas
WoS Research Areas
Scopus Research Areas
Academic Positions
2020 - Present
2020 - PresentProfessor
Erciyes University, Fen Fakültesi, Matematik
2003 - Present
2003 - PresentAssistant Professor
Erciyes University, Fen Fakültesi, Matematik
2014 - 2020
2014 - 2020Associate Professor
Erciyes University, Fen Fakültesi, Matematik
Managerial Experience
2016 - Present
2016 - PresentErciyes University
2016 - 2022
2016 - 2022Assistant Director of the Institute
Erciyes University, Fen Bilimleri Enstitüsü
2008 - 2010
2008 - 2010Erciyes University
Supervised 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)
Articles
All (36)
SCI-E, SSCI, AHCI (22)
SCI-E, SSCI, AHCI, ESCI (27)
ESCI (5)
Scopus (25)
TRDizin (7)
Other Publications (5)
2025
20251. Fractional Mathematical Modeling of the Mumps, Encephalitis, Pancreatitis with Real Data from Romania and Bifurcation Analysis
Kaya E., Özköse F., ŞENEL M. T.
New Mathematics and Natural Computation
, 2025 (ESCI, Scopus)
2024
20242. A mathematical modeling of patient-derived lung cancer stem cells with fractional-order derivative
ÖZKÖSE F., YILMAZ S., ŞENEL M. T., Yavuz M., Townley S., Dogan Sarıkaya M.
Physica Scripta
, vol.99, no.11, 2024 (SCI-Expanded, Scopus)
2024
20243. Fractional-Order Mathematical Modeling and Stability Analysis of Tumor-Immune System Relation Including Chemotherapy Drug Effect
ÖZKÖSE F., ÖNAL E., ŞENEL M. T.
Aksaray University Journal of Science and Engineering , 2024 (Peer-Reviewed Journal)
2024
20244. Mathematical Modeling of Skin Cancer with the Effect of Stress
TUNCA Ş., ŞENEL M. T., ÖZKÖSE F.
Erciyes Üniversitesi Fen Bilimleri Enstitüsü Dergisi , vol.40, no.2, pp.430-450, 2024 (TRDizin)
2023
20235. A 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, Scopus)
2023
20236. Existence 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 (ESCI, Scopus)
2022
20227. Fractional 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, Scopus)
2021
20218. A 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, Scopus)
2021
20219. Fractional-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 (Scopus, TRDizin)
2021
202110. Kayseri’de Tramvay Hattı Boyunca Gerçekleşen Trafik Kazalarının İncelenmesi
KÜL A., ŞENEL M. T.
Erciyes Üniversitesi Fen Bilimleri Enstitüsü Dergisi
, vol.37, no.2, 2021 (TRDizin)
2019
201911. Synchronization 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, Scopus)
2019
201912. Existence 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)
2019
201913. On 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, Scopus)
2019
201914. EXISTENCE 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, Scopus, TRDizin)
2018
201815. Kamenev-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, Scopus, TRDizin)
2018
201816. Positive 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
201817. ON OSCILLATION OF THIRD ORDER FUNCTIONAL DIFFERENTIAL EQUATION
ŞENEL M. T.
Electronic Journal of Mathematical Analysis and Applications , vol.6, 2018 (Peer-Reviewed Journal)
2017
201718. Oscillation 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, Scopus)
2015
201519. An 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, Scopus, TRDizin)
2014
201420. Oscillation criteria for third-order neutral dynamic equations with continuously distributed delay
ŞENEL M. T., Utku N.
ADVANCES IN DIFFERENCE EQUATIONS
, 2014 (SCI-Expanded, Scopus)
2014
201421. Oscillation 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, Scopus)
2014
201422. Oscillation 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, Scopus)
2014
201423. Oscillation 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, Scopus)
2013
201324. On 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, Scopus)
2013
201325. Oscillation 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, Scopus)
2013
201326. OSCILLATION 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, Scopus)
2013
201327. Oscillation 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 (TRDizin)
2013
201328. Behavior of solutions of a third-order dynamic equation on time scales
Senel M. T.
JOURNAL OF INEQUALITIES AND APPLICATIONS
, 2013 (SCI-Expanded, Scopus)
2013
201329. Oscillation 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
201230. Oscillation 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, Scopus)
2012
201231. Kamenev-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, Scopus)
2011
201132. Oscillation Theorems for Dynamic Equation on Time Scales
Şenel M. T.
BULLETIN OF MATHEMATICAL ANALYSIS AND APPLICATIONS , vol.4, pp.101-105, 2011 (ESCI)
2010
201033. On 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)
2009
200934. On 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, Scopus)
2008
200835. On 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)
2004
200436. Nonoscillation 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, Scopus)
Papers Presented at Peer-Reviewed Scientific Conferences
2019
20191. Solvability 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, (Summary Text)
2018
20182. Positive 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, (Summary Text)
2018
20183. Positive 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, (Summary Text)
2017
20174. Positive 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, (Summary Text)
2017
20175. Positive 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, (Summary Text)
2017
20176. Existence 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, (Summary Text)
2012
20127. Oscillation 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, (Full Text)
2012
20128. Zaman 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, (Full Text)
2009
20099. Üçüncü Mertebeden Lineer Olmayan Diferensiyel Denklemlerin Çözümlerinin Davranışı
TEMTEK P., ŞENEL M. T.
9. Dinamik Sistemler Çalıştayı, Turkey, 18 - 19 June 2009, (Summary Text)
2009
200910. Üçüncü Mertebeden Lineer Olmayan Dierensiyel Denklemlerin Çözümlerinin Davranışı
ŞENEL M. T., TEMTEK P.
Dinamik Sistemler Çalıştayı, İzmir, Turkey, 1 - 04 June 2009, pp.18, (Full Text)
Funded Projects
2021 - 2024
2021 - 2024
AKCİĞER KANSERİNİN MATEMATİKSEL MODELİ VE KARARLILIK ANALİZİ
Project Supported by Higher Education Institutions , BAP Research Project
ŞENEL M. T. (Executive), GÜNDOĞ M., ÖZKÖSE F.
2015 - 2016
2015 - 2016ZAMAN SKALASINDA TÜMÖR BÜYÜMESİ MODELLEMELERİ
Project Supported by Higher Education Institutions , BAP Research Project
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 , BAP Research Project
ŞENEL M. T. (Executive)
2007 - 2009
2007 - 2009İKİNCİ BASAMAKTAN DİFERENSİYEL DENKLEMLERİN ÇÖZÜMLERİNİN DAVRANIŞI ÜZERİNE .
Project Supported by Higher Education Institutions , BAP MSc
ŞENEL M. T. (Executive), TOKEL E.
Activities in Scientific Journals
2016 - Present
2016 - PresentErciyes Üniversitesi Fen Bilimleri Enstitüsü Dergisi
Editor
2014 - Present
2014 - PresentIndıan journal of mahemetıcs and mathematıcal scıences
Editor
2013 - Present
2013 - PresentTransnational Journal of Mathematical Analysis and Applications
Editor
Peer Reviews in Scientific Publications
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