Solving fractional diffusion and wave equations by modified homotopy perturbation method

摘要

This Letter applies the modified He's homotopy perturbation method (HPM) suggested by Momani and Odibat to obtaining solutions of linear and nonlinear fractional diffusion and wave equations. The fractional derivative is described in the Caputo sense. Some illustrative examples are given, revealing the effectiveness and convenience of the method. (C) 2007 Elsevier B.V. All rights reserved.