Prof. Dr. Mehmet Yavuz
Department of Mathematics and Computer Sciences, Necmettin Erbakan University, Konya, Turkey (Türkiye)
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Academic Career Length
12Years (2015-Present)
(Calculated once Scilit publication data is synced: current year − year of first publication + 1)
Representative Publications
View All Publications8 October 2020 in The European Physical Journal Plus
Journal Article
PNParvaiz Ahmad Naik
Parvaiz Ahmad NaikMehmet YavuzSQSania Qureshi
Sania QureshiJZJian Zu
Jian ZuSTStuart Townley
Stuart TownleyCoronaviruses are a large family of viruses that cause different symptoms, from mild cold to severe respiratory distress, and they can be seen in different
1 November 2020 in Chaos, Solitons & Fractals
Journal Article
PNParvaiz Ahmad Naik
Parvaiz Ahmad Naik
KOKolade M. Owolabi
Kolade M. Owolabi
Mehmet YavuzJZJian Zu
Jian Zu
Journal Article
Mehmet Yavuz
Ndolane SeneIn this work, a fractional predator-prey model with the harvesting rate is considered. Besides the existence and uniqueness of the solution to the model, local stability and global stability are experienced. A novel discretization depending on the numerical discretization of the Riemann–Liouville integral was introduced and the corresponding numerical discretization of the predator–prey fractional model was obtained. The net reproduction number was obtained for the prediction and persistence of the disease. The dynamical behavior of the equilibria was examined by using the stability criteria. Furthermore, numerical simulations of the model were performed and their graphical representations are shown to support the numerical discretizations, to visualize the effectiveness of our theoretical results and to monitor the effect of arbitrary order derivative. In our investigations, the fractional operator is understood in the Caputo sense.
8 May 2022 in Journal of Computational and Applied Mathematics
Journal Article
PNParvaiz Ahmad Naik
Parvaiz Ahmad Naik
ZEZohreh Eskandari
Zohreh Eskandari
Mehmet YavuzJZJian Zu
Jian Zu
Journal Article
Mehmet YavuzNONecati OZDEMIR
Necati OZDEMIRRecently, fractional differential equations (FDEs) have attracted much more attention in modeling real-life problems. Since most FDEs do not have exact solutions, numerical solution methods are used commonly. Therefore, in this study, we have demonstrated a novel approximate-analytical solution method, which is called the Laplace homotopy analysis method (LHAM) using the Caputo–Fabrizio (CF) fractional derivative operator. The recommended method is obtained by combining Laplace transform (LT) and the homotopy analysis method (HAM). We have used the fractional operator suggested by Caputo and Fabrizio in 2015 based on the exponential kernel. We have considered the LHAM with this derivative in order to obtain the solutions of the fractional Black–Scholes equations (FBSEs) with the initial conditions. In addition to this, the convergence and stability analysis of the model have been constructed. According to the results of this study, it can be concluded that the LHAM in the sense of the CF fractional derivative is an effective and accurate method, which is computable in the series easily in a short time.
6 June 2018 in The European Physical Journal Plus
Journal Article
About Me
Professor Dr. Mehmet Yavuz is a Full Professor in the Department of Mathematics and Computer Sciences at Necmettin Erbakan University, Türkiye. He received his BSc in Mathematics from Zonguldak Bülent Ecevit University in 2009 and earned both MSc (2012) and PhD (2016) degrees in Applied Mathematics from Balıkesir University. He conducted postdoctoral research at the Department of Mathematics, University of Exeter, UK, during 2019–2020. Prof. Yavuz's research spans a wide range of topics in applied and theoretical mathematics, including biomathematics, infectious disease and population dynamics, stochastic analysis, calcium signaling, fractional-order systems, bifurcation theory, and dynamical control. He has published over 120 peer-reviewed journal articles, 60 conference papers, and 12 book chapters in international volumes. Since 2021, he has been listed among the world’s top 2% of most-cited scientists, based on metrics such as citations and h-index, in global rankings compiled by Elsevier and Scopus in collaboration with Stanford University. He is the Editor-in-Chief of the journals “Mathematical Modelling and Numerical Simulation with Applications (ISSN: 2791-8564)”, “Bulletin of Biomathematics (ISSN: 2980-1869)” and “Mathematical Modelling for Sustainable Engineering (ISSN: 3104-9877)
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