Mehmet Merdan

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.

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.

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.

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.

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.