Journal
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
Volume 15, Issue 7, Pages 1777-1782Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.cnsns.2009.07.014
Keywords
Fractional differential equation; Caputo fractional derivative; Differential transform method; fmKdV; fKdV
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In this paper, the fractional modified Korteweg-de Vries equation (fmKdV) and fKdV are introduced by fractional derivatives. The approach rest mainly on two-dimensional differential transform method (DTM) which is one of the approximate methods. The method can easily be applied to many problems and is capable of reducing the size of computational work. The fractional derivative is described in the Caputo sense. Some illustrative examples are presented. Crown Copyright (c) 2009 Published by Elsevier B.V. All rights reserved.
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