Mehmet Merdan

TL;DR: The approximate solution of the differential system modeling HIV infection of CD4 + T cells is obtained by a reliable algorithm based on an adaptation of the standard variational iteration method (VIM), which is called the multi-stage variational iterations method (MSVIM).

TL;DR: The deterministic stability of a model of Hepatitis C which includes a term defining the effect of immune system is studied on both local and global scales and random effect is added to the model to investigate the random behavior of the model.

TL;DR: In this article, the authors examined a fractional order Vallis system and performed a detailed analysis on the stability of equilibrium, and proposed a multi-step differential transform method (MsDTM) to give approximate and analytical solutions.

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 strongly nonlinear couple partial equations with modified Riemann-Liouville derivative.

TL;DR: In this paper, an approximate analytical solution in the form of a rapidly convergent series for tracing light rays through an inhomogeneous graded index medium is developed, using the multi-step differential transform method based on the classical differential transformation method.