Solving systems of fractional differential equations by homotopy-perturbation method

O. Abdulaziz, Ishak Hashim, S. Momani

Research output: Contribution to journalArticle

67 Citations (Scopus)

Abstract

In this Letter, approximate analytical solutions of systems of Fractional Differential Equations (FDEs) are derived by the Homotopy-Perturbation Method (HPM). The fractional derivatives are described in the Caputo sense. The solutions are obtained in the form of rapidly convergent infinite series with easily computable terms. Numerical results reveal that HPM is very effective and simple for obtaining approximate solutions of nonlinear systems of FDEs.

Original languageEnglish
Pages (from-to)451-459
Number of pages9
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Volume372
Issue number4
DOIs
Publication statusPublished - 21 Jan 2008

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differential equations
perturbation
nonlinear systems

Keywords

  • Caputo fractional derivative
  • Fractional differential equations
  • Homotopy-perturbation method

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Solving systems of fractional differential equations by homotopy-perturbation method. / Abdulaziz, O.; Hashim, Ishak; Momani, S.

In: Physics Letters, Section A: General, Atomic and Solid State Physics, Vol. 372, No. 4, 21.01.2008, p. 451-459.

Research output: Contribution to journalArticle

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