Series solutions of time-fractional PDEs by homotopy analysis method

Ishak Hashim, O. Abdulaziz, A. Saif

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

The homotopy analysis method (HAM) is applied to solve linear and nonlinear fractional partial differential equations (fPDEs). The fractional derivatives are described by Caputo's sense. Series solutions of the fPDEs are obtained. A convergence theorem for the series solution is also given. The test examples, which include a variable coefficient, inhomogeneous and hyperbolic-type equations, demonstrate the capability of HAM for nonlinear fPDEs.

Original languageEnglish
Article number686512
JournalDifferential Equations and Nonlinear Mechanics
Volume2008
DOIs
Publication statusPublished - 2008

Fingerprint

Homotopy Analysis Method
Series Solution
Fractional Differential Equation
Partial differential equations
Fractional
Partial differential equation
Fractional Derivative
Variable Coefficients
Convergence Theorem
Derivatives
Demonstrate

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics
  • Mechanics of Materials

Cite this

Series solutions of time-fractional PDEs by homotopy analysis method. / Hashim, Ishak; Abdulaziz, O.; Saif, A.

In: Differential Equations and Nonlinear Mechanics, Vol. 2008, 686512, 2008.

Research output: Contribution to journalArticle

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