A note on fractional diffusion equations

Abstract

In the present paper, the solutions of the fractional diffusion equation of order α (0 < α ≤ 1) with the initial condition xn, n is a positive integer are obtained with the help of a powerful method, i.e., the variational iteration method. The method performs extremely well in terms of efficiency and simplicity. Numerical results are presented graphically. © 2009 Elsevier Ltd. All rights reserved.