The solution of the time-fractional diffusion equation by the generalized differential transform method

Abstract

In the present paper, a general recurrence relation for determining the solutions of the time-fractional diffusion equation is obtained with the generalized differential transform method. The obtained relation will help us to solve time-fractional diffusion equations with various external forces and initial conditions. Four illustrative examples are given. (C) 2011 Elsevier Ltd. All rights reserved.