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

S Katrin  Lydia

doi:10.48165/

Authors

S Katrin Lydia Ph. D. Research Scholar, Department of Mathematics, Bishop Heber College, Trichy, Tamil Nadu 620017, India

DOI:

https://doi.org/10.48165/

Keywords:

Mahgoub Transform, Adomian Decomposition method,, Fractional Differential Equations, Caputo derivative

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.

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