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 Mehmet Yavuz

Mehmet Yavuz

Post-Doctoral Research Associate in Applied Mathematics

 +44 7861 784034

 Environment and Sustainability Institute ESI 00.16

 

Environment and Sustainability Institute, University of Exeter, Penryn Campus, Penryn, Cornwall, TR10 9FE, UK

Overview

I obtained my B.Sc. in Mathematics (2009) at the Bulent Ecevit University, my M.Sc. (2012) and Ph.D. (2016) degrees in Applied Mathematics at the Balikesir University in Turkey. In December 2012, I joined the Necmettin Erbakan University, Turkey as a lecturer. As of February 2018, I became an Assistant Professor in Applied Mathematics at the Necmettin Erbakan University.

I joined University of Exeter in September 2019 as a post-doctoral researcher under supervision Prof. Dr. Stuart Townley in the Department of Mathematics on the Penryn Campus.

My research concerns the fractional calculus and its applications to finance, biology, etc. Also it includes dynamical systems, mathematical biology, optimal control and numerical analysis.

For further information please click.

 

Publications

Details of published works can be found by clicking this link Publications.

Research

Publications

Key publications | Publications by category | Publications by year

Publications by category


Journal articles

Yavuz M, Coşar FÖ, Günay F, Özdemir FN (2021). A New Mathematical Modeling of the COVID-19 Pandemic Including the Vaccination Campaign. Open Journal of Modelling and Simulation, 09(03), 299-321.
Jena RM, Chakraverty S, Yavuz M, Abdeljawad T (2021). A new modeling and existence–uniqueness analysis for Babesiosis disease of fractional order. Modern Physics Letters B, 2150443-2150443. Abstract.
Bonyah E, Yavuz M, Baleanu D, Kumar S (2021). A robust study on the listeriosis disease by adopting fractal-fractional operators. Alexandria Engineering Journal Abstract.
Tabassum MF, Akram S, Mahmood-ul-Hassan S, Karim R, Naik PA, Farman M, Yavuz M, Naik M-U-D, Ahmad H (2021). Differential gradient evolution plus algorithm for constraint optimization problems: a hybrid approach. An International Journal of Optimization and Control: Theories & Applications (IJOCTA), 11(2), 158-177. Abstract.
Yavuz M, Sene N (2021). Fundamental calculus of the fractional derivative defined with Rabotnov exponential kernel and application to nonlinear dispersive wave model. Journal of Ocean Engineering and Science, 6(2), 196-205.
Fayz-Al-Asad M, Yavuz M, Alam MN, Sarker MMA, Bazighifan O (2021). Influence of Fin Length on Magneto-Combined Convection Heat Transfer Performance in a Lid-Driven Wavy Cavity. Fractal and Fractional, 5(3), 107-107. Abstract.
Yokus A, Yavuz M (2021). NOVEL COMPARISON OF NUMERICAL AND ANALYTICAL METHODS FOR FRACTIONAL BURGER-FISHER EQUATION. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 14(7), 2591-2606. Author URL.
Akgül EK, Akgül A, Yavuz M (2021). New Illustrative Applications of Integral Transforms to Financial Models with Different Fractional Derivatives. Chaos, Solitons and Fractals, 146 Abstract.
Zada L, Nawaz R, Nisar KS, Tahir M, Yavuz M, Kaabar MKA, Martínez F (2021). New approximate-analytical solutions to partial differential equations via auxiliary function method. Partial Differential Equations in Applied Mathematics, 4, 100045-100045.
Bazighifan O, Nofal TA, Yavuz M (2021). Oscillation Results of Emden–Fowler-Type Differential Equations. Symmetry, 13(3), 410-410. Abstract.
Althobati S, Bazighifan O, Yavuz M (2021). Some Important Criteria for Oscillation of Non-Linear Differential Equations with Middle Term. Mathematics, 9(4), 346-346. Abstract.
Yavuz M, Sulaiman TA, Yusuf A, Abdeljawad T (2021). The Schrödinger-KdV equation of fractional order with Mittag-Leffler nonsingular kernel. Alexandria Engineering Journal, 60(2), 2715-2724.
Yavuz M, Sulaiman TA, Usta F, Bulut H (2020). Analysis and numerical computations of the fractional regularized long‐wave equation with damping term. Mathematical Methods in the Applied Sciences, 44(9), 7538-7555.
YAVUZ M, ÖZDEMİR N (2020). Analysis of an Epidemic Spreading Model with Exponential Decay Law. Mathematical Sciences and Applications E-Notes
Yavuz M, Yokus A (2020). Analytical and numerical approaches to nerve impulse model of fractional‐order. Numerical Methods for Partial Differential Equations, 36(6), 1348-1368.
Yavuz M, Sene N (2020). Approximate Solutions of the Model Describing Fluid Flow Using Generalized ρ-Laplace Transform Method and Heat Balance Integral Method. Axioms, 9(4), 123-123. Abstract.
Yavuz M, Ozdemir N (2020). COMPARING THE NEW FRACTIONAL DERIVATIVE OPERATORS INVOLVING EXPONENTIAL AND MITTAG-LEFFLER KERNEL. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 13(3), 995-1006. Author URL.
Naik PA, Owolabi KM, Yavuz M, Zu J (2020). Chaotic dynamics of a fractional order HIV-1 model involving AIDS-related cancer cells. Chaos, Solitons & Fractals, 140, 110272-110272.
Yavuz M (2020). European option pricing models described by fractional operators with classical and generalized Mittag-Leffler kernels. NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS Author URL.
Yavuz M (2020). European option pricing models described by fractional operators with classical and generalizedMittag‐Lefflerkernels. Numerical Methods for Partial Differential Equations
Naik PA, Yavuz M, Qureshi S, Zu J, Townley S (2020). Modeling and analysis of COVID-19 epidemics with treatment in fractional derivatives using real data from Pakistan. The European Physical Journal Plus, 135(10).
Yavuz M, Abdeljawad T (2020). Nonlinear regularized long-wave models with a new integral transformation applied to the fractional derivative with power and Mittag-Leffler kernel. Advances in Difference Equations, 2020(1). Abstract.
Yavuz M, Sene N (2020). Stability Analysis and Numerical Computation of the Fractional Predator–Prey Model with the Harvesting Rate. Fractal and Fractional, 4(3), 35-35. Abstract.
Naik PA, Yavuz M, Zu J (2020). The role of prostitution on HIV transmission with memory: a modeling approach. Alexandria Engineering Journal, 59(4), 2513-2531. Abstract.
Yavuz M (2019). CHARACTERIZATIONS OF TWO DIFFERENT FRACTIONAL OPERATORS WITHOUT SINGULAR KERNEL. MATHEMATICAL MODELLING OF NATURAL PHENOMENA, 14(3). Author URL.
Yildirim HH, Yavuz M (2019). Evaluation of wind energy investment with artificial neural networks. International Journal of Optimization and Control: Theories and Applications, 9(2), 142-147. Abstract.
Sulaiman TA, Yavuz M, Bulut H, Baskonus HM (2019). Investigation of the fractional coupled viscous Burgers' equation involving Mittag-Leffler kernel. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 527 Author URL.
Yavuz M, Bonyah E (2019). New approaches to the fractional dynamics of schistosomiasis disease model. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 525, 373-393. Author URL.
Keten A, Yavuz M, Baleanu D (2019). Nonlocal Cauchy Problem via a Fractional Operator Involving Power Kernel in Banach Spaces. Fractal and Fractional, 3(2), 27-27. Abstract.
YAVUZ M, ÖZDEMIR N (2018). A Feed-Forward Neural Network Approach to Istanbul Stock Exchange. Journal of Applied Computer Science & Mathematics, 12(2), 31-36.
Yavuz M, Özdemir N (2018). A different approach to the European option pricing model with new fractional operator. Mathematical Modelling of Natural Phenomena, 13(1). Abstract.
YAVUZ M (2018). BIST katılım endeksi için bir Markov zinciri analizi. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 1-8.
Yavuz M, Özdemir N (2018). European Vanilla Option Pricing Model of Fractional Order without Singular Kernel. Fractal and Fractional, 2(1), 3-3.
Yavuz M, Ozdemir N (2018). NUMERICAL INVERSE LAPLACE HOMOTOPY TECHNIQUE FOR FRACTIONAL HEAT EQUATIONS. THERMAL SCIENCE, 22, S185-S194. Author URL.
Yavuz M (2018). Novel solution methods for initial boundary value problems of fractional order with conformable differentiation. International Journal of Optimization and Control: Theories and Applications, 8(1), 1-7. Abstract.
Yavuz M, Ozdemir N, Baskonus HM (2018). Solutions of partial differential equations using the fractional operator involving Mittag-Leffler kernel. EUROPEAN PHYSICAL JOURNAL PLUS, 133(6). Author URL.
Yavuz M, Yaşkıran B (2017). Approximate-analytical solutions of cable equation. using conformable fractional operator. New Trends in Mathematical Science, 4(5), 209-219.
Özdemir N, Yavuz M (2017). Numerical solution of fractional black-scholes equation by Using the multivariate Padé approximation. Acta Physica Polonica A, 132(3), 1050-1053. Abstract.
SAKARYA Å, YAVUZ M, KARAOÄžLAN AD, R NÃ (2015). Stock Market Index Prediction with Neural Network during Financial Crises: a Review on Bist-100. Financial Risk and Management Reviews, 1(2), 53-67.

Chapters

Yavuz M, Ozdemir N (2019). New Numerical Techniques for Solving Fractional Partial Differential Equations in Conformable Sense. In Ostalczyk P, Sankowski D, Nowakowski J (Eds.) Non-Integer Order Calculus and its Applications, Springer International Publishing, 49-62.

Conferences

Yavuz M, Ozdemir N (2019). New Numerical Techniques for Solving Fractional Partial Differential Equations in Conformable Sense.  Author URL.
Evirgen F, Yavuz M (2018). An Alternative Approach for Nonlinear Optimization Problem with Caputo - Fabrizio Derivative.  Author URL.
Yavuz M (2018). Novel Recursive Approximation for Fractional Nonlinear Equations within Caputo-Fabrizio Operator.  Author URL.
Yavuz M, Ozdemir N (2018). On the Solutions of Fractional Cauchy Problem Featuring Conformable Derivative.  Author URL.

Publications by year


2021

Yavuz M, Coşar FÖ, Günay F, Özdemir FN (2021). A New Mathematical Modeling of the COVID-19 Pandemic Including the Vaccination Campaign. Open Journal of Modelling and Simulation, 09(03), 299-321.
Jena RM, Chakraverty S, Yavuz M, Abdeljawad T (2021). A new modeling and existence–uniqueness analysis for Babesiosis disease of fractional order. Modern Physics Letters B, 2150443-2150443. Abstract.
Bonyah E, Yavuz M, Baleanu D, Kumar S (2021). A robust study on the listeriosis disease by adopting fractal-fractional operators. Alexandria Engineering Journal Abstract.
Tabassum MF, Akram S, Mahmood-ul-Hassan S, Karim R, Naik PA, Farman M, Yavuz M, Naik M-U-D, Ahmad H (2021). Differential gradient evolution plus algorithm for constraint optimization problems: a hybrid approach. An International Journal of Optimization and Control: Theories & Applications (IJOCTA), 11(2), 158-177. Abstract.
Yavuz M, Sene N (2021). Fundamental calculus of the fractional derivative defined with Rabotnov exponential kernel and application to nonlinear dispersive wave model. Journal of Ocean Engineering and Science, 6(2), 196-205.
Fayz-Al-Asad M, Yavuz M, Alam MN, Sarker MMA, Bazighifan O (2021). Influence of Fin Length on Magneto-Combined Convection Heat Transfer Performance in a Lid-Driven Wavy Cavity. Fractal and Fractional, 5(3), 107-107. Abstract.
Yokus A, Yavuz M (2021). NOVEL COMPARISON OF NUMERICAL AND ANALYTICAL METHODS FOR FRACTIONAL BURGER-FISHER EQUATION. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 14(7), 2591-2606. Author URL.
Akgül EK, Akgül A, Yavuz M (2021). New Illustrative Applications of Integral Transforms to Financial Models with Different Fractional Derivatives. Chaos, Solitons and Fractals, 146 Abstract.
Zada L, Nawaz R, Nisar KS, Tahir M, Yavuz M, Kaabar MKA, Martínez F (2021). New approximate-analytical solutions to partial differential equations via auxiliary function method. Partial Differential Equations in Applied Mathematics, 4, 100045-100045.
Bazighifan O, Nofal TA, Yavuz M (2021). Oscillation Results of Emden–Fowler-Type Differential Equations. Symmetry, 13(3), 410-410. Abstract.
Althobati S, Bazighifan O, Yavuz M (2021). Some Important Criteria for Oscillation of Non-Linear Differential Equations with Middle Term. Mathematics, 9(4), 346-346. Abstract.
Yavuz M, Sulaiman TA, Yusuf A, Abdeljawad T (2021). The Schrödinger-KdV equation of fractional order with Mittag-Leffler nonsingular kernel. Alexandria Engineering Journal, 60(2), 2715-2724.

2020

Yavuz M, Sulaiman TA, Usta F, Bulut H (2020). Analysis and numerical computations of the fractional regularized long‐wave equation with damping term. Mathematical Methods in the Applied Sciences, 44(9), 7538-7555.
YAVUZ M, ÖZDEMİR N (2020). Analysis of an Epidemic Spreading Model with Exponential Decay Law. Mathematical Sciences and Applications E-Notes
Yavuz M, Yokus A (2020). Analytical and numerical approaches to nerve impulse model of fractional‐order. Numerical Methods for Partial Differential Equations, 36(6), 1348-1368.
Yavuz M, Sene N (2020). Approximate Solutions of the Model Describing Fluid Flow Using Generalized ρ-Laplace Transform Method and Heat Balance Integral Method. Axioms, 9(4), 123-123. Abstract.
Yavuz M, Ozdemir N (2020). COMPARING THE NEW FRACTIONAL DERIVATIVE OPERATORS INVOLVING EXPONENTIAL AND MITTAG-LEFFLER KERNEL. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 13(3), 995-1006. Author URL.
Naik PA, Owolabi KM, Yavuz M, Zu J (2020). Chaotic dynamics of a fractional order HIV-1 model involving AIDS-related cancer cells. Chaos, Solitons & Fractals, 140, 110272-110272.
Yavuz M (2020). European option pricing models described by fractional operators with classical and generalized Mittag-Leffler kernels. NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS Author URL.
Yavuz M (2020). European option pricing models described by fractional operators with classical and generalizedMittag‐Lefflerkernels. Numerical Methods for Partial Differential Equations
Naik PA, Yavuz M, Qureshi S, Zu J, Townley S (2020). Modeling and analysis of COVID-19 epidemics with treatment in fractional derivatives using real data from Pakistan. The European Physical Journal Plus, 135(10).
Yavuz M, Abdeljawad T (2020). Nonlinear regularized long-wave models with a new integral transformation applied to the fractional derivative with power and Mittag-Leffler kernel. Advances in Difference Equations, 2020(1). Abstract.
Yavuz M, Sene N (2020). Stability Analysis and Numerical Computation of the Fractional Predator–Prey Model with the Harvesting Rate. Fractal and Fractional, 4(3), 35-35. Abstract.
Naik PA, Yavuz M, Zu J (2020). The role of prostitution on HIV transmission with memory: a modeling approach. Alexandria Engineering Journal, 59(4), 2513-2531. Abstract.

2019

Yavuz M (2019). CHARACTERIZATIONS OF TWO DIFFERENT FRACTIONAL OPERATORS WITHOUT SINGULAR KERNEL. MATHEMATICAL MODELLING OF NATURAL PHENOMENA, 14(3). Author URL.
Yildirim HH, Yavuz M (2019). Evaluation of wind energy investment with artificial neural networks. International Journal of Optimization and Control: Theories and Applications, 9(2), 142-147. Abstract.
Sulaiman TA, Yavuz M, Bulut H, Baskonus HM (2019). Investigation of the fractional coupled viscous Burgers' equation involving Mittag-Leffler kernel. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 527 Author URL.
Yavuz M, Ozdemir N (2019). New Numerical Techniques for Solving Fractional Partial Differential Equations in Conformable Sense. In Ostalczyk P, Sankowski D, Nowakowski J (Eds.) Non-Integer Order Calculus and its Applications, Springer International Publishing, 49-62.
Yavuz M, Ozdemir N (2019). New Numerical Techniques for Solving Fractional Partial Differential Equations in Conformable Sense.  Author URL.
Yavuz M, Bonyah E (2019). New approaches to the fractional dynamics of schistosomiasis disease model. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 525, 373-393. Author URL.
Keten A, Yavuz M, Baleanu D (2019). Nonlocal Cauchy Problem via a Fractional Operator Involving Power Kernel in Banach Spaces. Fractal and Fractional, 3(2), 27-27. Abstract.

2018

YAVUZ M, ÖZDEMIR N (2018). A Feed-Forward Neural Network Approach to Istanbul Stock Exchange. Journal of Applied Computer Science & Mathematics, 12(2), 31-36.
Yavuz M, Özdemir N (2018). A different approach to the European option pricing model with new fractional operator. Mathematical Modelling of Natural Phenomena, 13(1). Abstract.
Evirgen F, Yavuz M (2018). An Alternative Approach for Nonlinear Optimization Problem with Caputo - Fabrizio Derivative.  Author URL.
YAVUZ M (2018). BIST katılım endeksi için bir Markov zinciri analizi. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 1-8.
Yavuz M, Özdemir N (2018). European Vanilla Option Pricing Model of Fractional Order without Singular Kernel. Fractal and Fractional, 2(1), 3-3.
Yavuz M, Ozdemir N (2018). NUMERICAL INVERSE LAPLACE HOMOTOPY TECHNIQUE FOR FRACTIONAL HEAT EQUATIONS. THERMAL SCIENCE, 22, S185-S194. Author URL.
Yavuz M (2018). Novel Recursive Approximation for Fractional Nonlinear Equations within Caputo-Fabrizio Operator.  Author URL.
Yavuz M (2018). Novel solution methods for initial boundary value problems of fractional order with conformable differentiation. International Journal of Optimization and Control: Theories and Applications, 8(1), 1-7. Abstract.
Yavuz M, Ozdemir N (2018). On the Solutions of Fractional Cauchy Problem Featuring Conformable Derivative.  Author URL.
Yavuz M, Ozdemir N, Baskonus HM (2018). Solutions of partial differential equations using the fractional operator involving Mittag-Leffler kernel. EUROPEAN PHYSICAL JOURNAL PLUS, 133(6). Author URL.

2017

Yavuz M, Yaşkıran B (2017). Approximate-analytical solutions of cable equation. using conformable fractional operator. New Trends in Mathematical Science, 4(5), 209-219.
Özdemir N, Yavuz M (2017). Numerical solution of fractional black-scholes equation by Using the multivariate Padé approximation. Acta Physica Polonica A, 132(3), 1050-1053. Abstract.

2015

SAKARYA Å, YAVUZ M, KARAOÄžLAN AD, R NÃ (2015). Stock Market Index Prediction with Neural Network during Financial Crises: a Review on Bist-100. Financial Risk and Management Reviews, 1(2), 53-67.

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