Numerical solutions of the initial value problem for fractional differential equations by modification of the Adomian decomposition method

Abstract

In this paper, we extend a reliable modification of the Adomian decomposition method presented in [34] for solving initial value problem for fractional differential equations. In order to confirm the applicability and the advantages of our approach, we consider some illustrative examples. © 2014 Versita Warsaw and Springer-Verlag Wien. MSC 2010: 34K28 lt]34K37.