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Journal of Applied Mathematics
Volume 2013, Article ID 428090, 7 pages
Research Article

A Novel Iterative Method for Solving Systems of Fractional Differential Equations

Department of Mathematics, Faculty of Basic Sciences, Shiraz University of Technology, Shiraz, Modarres Bolvd. P.O. Box, 71555-313, Iran

Received 26 January 2013; Accepted 9 July 2013

Academic Editor: D. R. Sahu

Copyright © 2013 E. Hesameddini and A. Rahimi. 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.


The Reconstruction of Variational Iteration Method (RVIM) technique has been successfully applied to obtain solutions for systems of nonlinear fractional differential equations: , ,   , , where denote Caputo fractional derivative. The RVIM, for differential equations of integer order is extended to derive approximate analytical solutions for systems of fractional differential equations. Advantage of the RVIM, is simplicity of the computations and convergent successive approximations without any restrictive assumptions or transform functions. Some illustrative examples are given to show the validity of this method for solving linear and nonlinear systems of fractional differential equations.