Journal
APPLIED MATHEMATICAL MODELLING
Volume 37, Issue 9, Pages 6183-6190Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.apm.2012.12.018
Keywords
Fractional differential equation; Caputo derivative; Variational iteration method
Funding
- Key Program of NSFC [51134018]
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The flow through porous media can be better described by fractional models than the classical ones since they include inherently memory effects caused by obstacles in the structures. The variational iteration method was extended to find approximate solutions of fractional differential equations with the Caputo derivatives, but the Lagrange multipliers of the method were not identified explicitly. In this paper, the Lagrange multiplier is determined in a more accurate way and some new variational iteration formulae are presented. (C) 2013 Elsevier Inc. All rights reserved.
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