International Journal of
Physical Sciences

  • Abbreviation: Int. J. Phys. Sci.
  • Language: English
  • ISSN: 1992-1950
  • DOI: 10.5897/IJPS
  • Start Year: 2006
  • Published Articles: 2557

Full Length Research Paper

Homotopy analysis method for fractional partial differential equations

Syed Tauseef Mohyud-Din1,*, Ahmet Yildirim2, and Muhammad Usman3
1Department of Mathematics, HITEC University Taxila Cantt, Pakistan. 2Department of Mathematics, Ege University, 35100 Bornova –İzmir, Turkey. 3Department of Mathematics, University of Dayton, 300 College Park, Dayton, OH 45469-2316 USA.
Email: [email protected]

  •  Published: 04 January 2011

Abstract

This paper applies the homotopy analysis method (HAM) to obtain analytical solutions of fractional heat- and wave-like equations with variable coefficients. The applications of the homotopy analysis method were extended to derive analytical solutions in the form of a series with easily computed terms for these generalized fractional equation. Some examples are presented to show the efficiency and simplicity of the method.

 

Key words: Homotopy analysis method, fractional calculus, fractional heat- and wave-like equations.