Analytical solution of the reaction-diffusion equation with space-time fractional derivatives by means of the generalized differential transform method

Abstract

ABSTRACT In the present paper we use generalized differential transform method to derive analytical solution of linear and non-linear space-time fractional reaction-diffusion equations on a finite domain. The space and time fractional derivatives are considered in Caputo sense. Some examples are given and it has been observed that the generalized differential transform method is very effective and convenient and overcomes the difficulty of Adomian decomposition method and homotopy perturbation method.

Keywords

• Adomian decomposition method
• Caputo fractional derivative
• fractional reaction-diffusion equation
• generalized differential transform method.