Article ID Journal Published Year Pages File Type
4630112 Applied Mathematics and Computation 2012 13 Pages PDF
Abstract

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.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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