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Abstract and Applied Analysis
Volume 2013 (2013), Article ID 617010, 9 pages
http://dx.doi.org/10.1155/2013/617010
Research Article

New Iterative Method: An Application for Solving Fractional Physical Differential Equations

Department of Mathematics, Faculty of Science, Tanta University, Tanta 31527, Egypt

Received 12 September 2012; Accepted 7 March 2013

Academic Editor: Soon Y. Chung

Copyright © 2013 A. A. Hemeda. 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

The new iterative method with a powerful algorithm is developed for the solution of linear and nonlinear ordinary and partial differential equations of fractional order as well. The analysis is accompanied by numerical examples where this method, in solving them, is used without linearization or small perturbation which confirm the power, accuracy, and simplicity of the given method compared with some of the other methods.