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Journal of Applied Mathematics
Volume 2013, Article ID 428079, 9 pages
Research Article

A General Iteration Formula of VIM for Fractional Heat- and Wave-Like Equations

Department of Software, College of Computer, National University of Defense Technology, Changsha, Hunan 410073, China

Received 24 December 2012; Accepted 2 March 2013

Academic Editor: Zhongxiao Jia

Copyright © 2013 Fukang Yin et al. 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.


A general iteration formula of variational iteration method (VIM) for fractional heat- and wave-like equations with variable coefficients is derived. Compared with previous work, the Lagrange multiplier of the method is identified in a more accurate way by employing Laplace’s transform of fractional order. The fractional derivative is considered in Jumarie’s sense. The results are more accurate than those obtained by classical VIM and the same as ADM. It is shown that the proposed iteration formula is efficient and simple.