International Journal of
Physical Sciences

  • Abbreviation: Int. J. Phys. Sci.
  • Language: English
  • ISSN: 1992-1950
  • DOI: 10.5897/IJPS
  • Start Year: 2006
  • Published Articles: 2572

Full Length Research Paper

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

Muhammet Kurulay1, Bayram Ali IbrahimoÄŸlu2* and Mustafa Bayram3
1Department of Mathematics, Faculty of Art and Sciences, Yildiz Technical University 34210-Davutpasa-Ä°stanbul, Turkey. 2Mathematical Engineering Department, Yildiz Technical University, 34210-Davutpasa-Ä°stanbul, Turkey. 3Department of Mathematics, Faculty of Arts and Science, Fatih Universty, 34500 Büyükçekmece, Istanbul, Turkey
Email: [email protected]

  •  Accepted: 06 April 2010
  •  Published: 30 June 2010

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.

 

Key words: Fractional partial differential transform method, Caputo fractional derivative, system of fractional partial differential equations.