Approximate analytical solution for the fractional modified KdV by differential transform method

Muhammet Kurulay*, Mustafa Bayram

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

69 Citations (Scopus)

Abstract

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

Original languageEnglish
Pages (from-to)1777-1782
Number of pages6
JournalCommunications in Nonlinear Science and Numerical Simulation
Volume15
Issue number7
DOIs
Publication statusPublished - Jul 2010
Externally publishedYes

Keywords

  • Caputo fractional derivative
  • Differential transform method
  • fKdV
  • fmKdV
  • Fractional differential equation

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