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Abstract and Applied Analysis
Volume 2013, Article ID 465160, 7 pages
http://dx.doi.org/10.1155/2013/465160
Research Article

Numerical Solutions of Fractional Fokker-Planck Equations Using Iterative Laplace Transform Method

School of Mathematical Sciences, Dezhou University, Dezhou 253023, China

Received 3 August 2013; Revised 17 October 2013; Accepted 2 November 2013

Academic Editor: Dumitru Baleanu

Copyright © 2013 Limei Yan. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

A relatively new iterative Laplace transform method, which combines two methods; the iterative method and the Laplace transform method, is applied to obtain the numerical solutions of fractional Fokker-Planck equations. The method gives numerical solutions in the form of convergent series with easily computable components, requiring no linearization or small perturbation. The numerical results show that the approach is easy to implement and straightforward when applied to space-time fractional Fokker-Planck equations. The method provides a promising tool for solving space-time fractional partial differential equations.