SOLVING A SYSTEM OF NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS USING MAHGOUB ADOMIAN DECOMPOSITION METHOD

Abstract

In this article, MahgoubAdomian Decomposition method is developed to obtain an approximate solution of the nonlinear system of Fractional Differential Equations. This method combines Mahgoub transform and Adomian decomposition method. Here, the nonlinear terms have been handled with the help of Adomian polynomials. The fractional derivatives are described in the Caputo sense. Some examples are given to demonstrate that our newly method is very efficient and accurate.