Author
Mehmet Merdan
Bio: Mehmet Merdan is an academic researcher from Gümüşhane University. The author has contributed to research in topics: Nonlinear system & Fractional calculus. The author has an hindex of 14, co-authored 55 publications receiving 609 citations.
Papers published on a yearly basis
Papers
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TL;DR: A modified VIM (MVIM), based on the use of Pade approximants is proposed, to give approximate and analytical solutions of nonlinear ordinary differential equation systems such as a model for HIV infection of CD4 + T cells.
Abstract: In this article, a variational iteration method (VIM) is performed to give approximate and analytical solutions of nonlinear ordinary differential equation systems such as a model for HIV infection of CD4 + T cells. A modified VIM (MVIM), based on the use of Pade approximants is proposed. Some plots are presented to show the reliability and simplicity of the methods.
84 citations
TL;DR: In this paper, the modified differential transform method (MDTM) is used to increase the accuracy and accelerate the convergence rate of truncated series solution getting by the DTM, which can be obtained from DTM applied to Laplace, inverse Laplace transform and Pade approximant.
65 citations
TL;DR: A multi-step differential transform method is performed to give approximate and analytical solutions of nonlinear fractional order ordinary differential equation systems such as a model for HIV infection of CD4 + T cells.
62 citations
TL;DR: In this article, the authors presented a reliable algorithm based on the standard differential transformation method (DTM), which is called the multi-stage differential transformation (MsDTM) for solving Hantavirus infection model.
53 citations
TL;DR: In this article, a new application of fractional variational iteration method (FVIM) was extended to derive analytical solutions in the form of a series for nonlinear fractional Riccati differential equations with modified Riemann-Liouville derivative.
Abstract: Fractional variational iteration method (FVIM) is performed to give an approximate analytical solution of nonlinear fractional Riccati differential equation. Fractional derivatives are described in the Riemann-Liouville derivative. A new application of fractional variational iteration method (FVIM) was extended to derive analytical solutions in the form of a series for these equations. The behavior of the solutions and the effects of different values of fractional order 𝛼 are indicated graphically. The results obtained by the FVIM reveal that the method is very reliable, convenient, and effective method for nonlinear differential equations with modified Riemann-Liouville derivative
47 citations
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01 Jan 2015
3,828 citations
TL;DR: The present paper introduces memristor-based fractional-order neural networks and establishes the conditions on the global Mittag-Leffler stability and synchronization are established by using Lyapunov method.
459 citations
01 Sep 1975
321 citations