• THE LAPLACE HOMOTOPY ANALYSIS METHOD FOR HANDLING SYSTEM OF FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS

Abstract

In this paper, we present an algorithm of the Laplace homotopy analysis method (LHAM) to obtain the solutions for system of nonlinear fractional partial differential equations. The fractional derivatives are considered in Caputo sense. The proposed algorithm gives a procedure for constructing the set of base functions and gives the high order deformation equations in simple form. This method is applied to solve four systems of nonlinear fractional partial differential equations. Numerical results shows that LHAM is easy to implement and accurate when applied to solve system of equations.