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Bulletin of Pure and Applied Sciences- Math& Stat. (Started in 1982)
eISSN: 2320-3226
pISSN: 0970-6577
Impact Factor: 4.895 (2017)
DOI: 10.5958/2320-3226
Editor-in-Chief:  Prof. Dr. Lalit Mohan Upadhyaya
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Article Details

Bulletin of Pure and Applied Sciences- Math& Stat. (Started in 1982)
Year : 2019, Volume & Issue : BPAS-Maths & Stat 38E(1), JAN-JUN 2019
Page No. : 396-404, Article Type : Original Aticle
Article DOI : 10.5958/2320-3226.2019.00043.2 (Received on 22.10.2018, Revised on 28.01.2019 Accepted on 23.02.2019)

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

S. Katrin Lydia*
Author’s Affiliation : Ph. D. Research Scholar, Department of Mathematics, Bishop Heber College, Trichy, Tamil Nadu 620017, India.

Corresponding Author : S. Katrin Lydia, Ph. D. Research Scholar, Department of Mathematics, Bishop Heber College, Trichy, Tamil Nadu 620017, India,
E-Mail:-[email protected]


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.

2010 Mathematics Subject Classification: 65L05, 65L20, 26A33.

Keywords

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