Computational methods based laplace decomposition for solving nonlinear system of fractional order differential equations

Abstract

In this paper, we considered nonlinear systems of fractional order differential equations. They have been solved by a computational methods which are so-called Laplace Adomian decomposition method (LADM) and modified Laplace decomposition method (MLDM). The fractional derivatives are described in the Caputo sense. The (LADM) and the (MLDM) are a combination of the Laplace transform and the Adomian decomposition method and iterative method respectively. These techniques were applied for some illustrative examples in order to solve nonlinear systems of fractional order differential equations. From the results of the illustrative examples we conclude that these methods are computationally efficient.