Solving a system of nonlinear fractional partial differential equations using three dimensional differential transform method

Muhammet Kurulay, Bayram Ali Ibrahimoǧlu, Mustafa Bayram

Research output: Contribution to journalArticlepeer-review

12 Citations (Scopus)

Abstract

In this article, three dimensional fractional partial differential transform method (FPDTM) has been employed to obtain solutions of a System of nonlinear fractional partial differential equations. This indicates the validity and great potential of the homotopy analysis method for solving system of fractional partial differential equations. Fractional differential transform method can easily be applied to nonlinear problems and reduces the size of computational work. With this method exact solutions may be obtained without any need of cumbersome work and it is a useful tool for analytical and numerical solutions. The fractional derivative is described in the caputo sense.

Original languageEnglish
Pages (from-to)906-912
Number of pages7
JournalInternational Journal of Physical Sciences
Volume5
Issue number6
Publication statusPublished - Jun 2010
Externally publishedYes

Keywords

  • Caputo fractional derivative
  • Fractional partial differential transform method
  • System of fractional partial differential equations

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