Journal
APPLIED MATHEMATICS AND COMPUTATION
Volume 218, Issue 12, Pages 6899-6911Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2011.12.066
Keywords
Fractional differential transform method; Nonlinear equations; Adomian polynomials
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A modification of the fractional differential transform method (FDTM) for solving nonlinear fractional differential equations (FDEs) is presented. In this technique, the nonlinear term is replaced by its Adomian polynomial of index k. Then the dependent variable components are replaced in the recurrence relation by their corresponding differential transform components of the same index. Thus nonlinear FDEs can be easily solved with less computational work for any analytic nonlinearity due to the properties and available algorithms of the Adomian polynomials. Numerical examples with different types of nonlinearities are solved and good results are obtained. (C) 2011 Elsevier Inc. All rights reserved.
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