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 –Ä°zmir, 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.