Prof. MEHMET TAMER ŞENEL

Metrics

Publication

Citation (WoS)

115

H-Index (WoS)

Citation (Scopus)

179

H-Index (Scopus)

Project

Thesis Advisory

Open Access

UN Sustainable Development Goals

Education

1999 - 2003

Doctorate

Erciyes University, Fen Bilimleri Enstitüsü, Matematik, Turkey

1993 - 1996

Postgraduate

Erciyes University, Fen Bilimleri Enstitüsü, Matematik, Turkey

1988 - 1992

Undergraduate

Erciyes University, Fen Edebiyat Fakültesi, Matematik, Turkey

Research Areas

Mathematics

Differential Equations

Natural Sciences

Academic Positions

2020 - Continues

Professor

Erciyes University, Fen Fakültesi, Matematik

2003 - Continues

Assistant Professor

Erciyes University, Fen Fakültesi, Matematik

2014 - 2020

Associate Professor

Erciyes University, Fen Fakültesi, Matematik

Managerial Experience

2016 - Continues

Erciyes University

2016 - 2022

Assistant Director of the Institute

Erciyes University, Fen Bilimleri Enstitüsü

2008 - 2010

Erciyes University

Courses

Postgraduate

Adi Türevli Denklemler II

Undergraduate

Genel Programlamaya Giriş II

Diferensiyel Denklemler

Supervised Theses

2017

Doctorate

NÖTRAL DİFERENSİYEL DENKLEMLERİN SALINIM YAPMAYAN ÇÖZÜMLERİNİN VARLIGI

ŞENEL M. T.

B.ÇINA(Student)

2014

Doctorate

Zaman Skalasında Dinamik Denklemlerin Çözümlerinin Davranışı Üzerine

ŞENEL M. T.

N.Utku(Student)

2012

Postgraduate

Zaman Skalasında Yüksek Mertebeden Dinamik Denklemlerin Çözümlerini Davranışı

ŞENEL M. T.

E.Özkan(Student)

2011

Postgraduate

Zaman Skalasında Nötral Gecikmeli Dinamik Denklemlerin Salınımsız Çözümlerinin Varlığı

ŞENEL M. T.

İ.Ulusoy(Student)

2009

Postgraduate

İkinci Basamaktan Yarı lineer Diferensiyel Denklemlerin Çözümlerinin Davranışı Üzerine

ŞENEL M. T.

E.Aktaş(Student)

2009

Postgraduate

İkinci Basmaktan Diferensiyel Denklemlerin Çözümlerinin Davranışı Üzerine

ŞENEL M. T.

E.Tokel(Student)

2007

Postgraduate

İkinci Mertebeden Diferensiyel Denklemlerin Çözümlerinin Davranışı

ŞENEL M. T.

N.Balaban(Student)

Journal articles indexed in SCI, SSCI, and AHCI

2024

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)

2023

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)

2022

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)

2021

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)

2019

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)

2019

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

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)

2018

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)

2015

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)

2014

Oscillation criteria for third-order neutral dynamic equations with continuously distributed delay

ŞENEL M. T., Utku N.

ADVANCES IN DIFFERENCE EQUATIONS , 2014 (SCI-Expanded)

2014

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)

2014

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)

2014

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)

2013

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)

2013

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)

2013

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)

2013

Behavior of solutions of a third-order dynamic equation on time scales

Senel M. T.

JOURNAL OF INEQUALITIES AND APPLICATIONS , 2013 (SCI-Expanded)

2013

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

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)

2012

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)

2009

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)

2004

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)

Articles Published in Other Journals

2024

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

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 (Peer-Reviewed Journal)

2023

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)

2021

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)

2021

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 (Peer-Reviewed Journal)

2019

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)

2018

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

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

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)

2013

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 (Peer-Reviewed Journal)

2011

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

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)

2008

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)

Papers Presented at Peer-Reviewed Scientific Conferences

2019

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

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

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

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

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

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

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

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

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

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

AKCİĞER KANSERİNİN MATEMATİKSEL MODELİ VE KARARLILIK ANALİZİ

Project Supported by Higher Education Institutions

ŞENEL M. T. (Executive), GÜNDOĞ M., ÖZKÖSE F.

2015 - 2016

ZAMAN SKALASINDA TÜMÖR BÜYÜMESİ MODELLEMELERİ

Project Supported by Higher Education Institutions

ŞENEL M. T. (Executive)

2014 - 2016

Zaman Skalasında Tümör Büyümesi Modellemeleri

TUBITAK Project

ŞENEL M. T. (Executive)

2011 - 2014

YÜKSEK MERTEBEDEN DİFERENSİYEL DENKLEMLERİN ZAMAN SKALASINDA SALINIMLI VE SALINIMSIZLIK ÖZELLİKLERİ

Project Supported by Higher Education Institutions

ŞENEL M. T. (Executive)

2007 - 2009

İKİNCİ BASAMAKTAN DİFERENSİYEL DENKLEMLERİN ÇÖZÜMLERİNİN DAVRANIŞI ÜZERİNE .

Project Supported by Higher Education Institutions

ŞENEL M. T. (Executive), TOKEL E.

Activities in Scientific Journals

2016 - Continues

Erciyes Üniversitesi Fen Bilimleri Enstitüsü Dergisi

Editor

2014 - Continues

Indıan journal of mahemetıcs and mathematıcal scıences

Editor

2013 - Continues

Transnational Journal of Mathematical Analysis and Applications

Editor

Peer Reviews in Scientific Publications

November 2014

Journal Journal of Inequalities and Applications

SCI Journal

October 2013

Advances in Difference Equations

SCI Journal

May 2013

Journal of Applied Mathematics and Computing

Other Indexed Journal

January 2013

American Mathematical Society

Other Indexed Journal

December 2012

The Journal of Nonlinear Science and Applications(JNSA)

Other Indexed Journal

October 2009

International Journal of Mathematics and Mathematical Sciences

Other Indexed Journal

Congress and Symposium Activities

01 June 2017 - 01 June 2017

INTERNATIONAL CONFERENCE ON OPERATORS IN MORREY-TYPE SPACES AND APPLICATIONS

Attendee

-Turkey

01 June 2017 - 01 June 2017

INTERNATIONAL CONFERENCE ON OPERATORS IN MORREY-TYPE SPACES AND APPLICATIONS

Attendee

Kırşehir-Turkey

01 May 2017 - 01 May 2017

INTERNATIONAL CONFERENCE ON MATHEMATICS AND ENGINEERING

Attendee

İstanbul-Turkey

01 September 2012 - 01 September 2012

15. Ulusal Matematik Sempozyumu

Attendee

Niğde-Turkey

01 May 2012 - 01 May 2012

7. Ankara Matematik Günleri

Attendee

Ankara-Turkey

01 June 2011 - 01 June 2011

Yıldız Technical University International conference On Applied Analysis And Algebra

Attendee

İstanbul-Turkey

01 July 2010 - 01 July 2010

13. Ulusal Matematik Sempozyumu-Erciyes Universitesi

Attendee

Kayseri-Turkey

01 June 2009 - 01 June 2009