Application of homotopy-perturbation method to fractional IVPs

O. Abdulaziz, Ishak Hashim, S. Momani

Research output: Contribution to journalArticle

56 Citations (Scopus)

Abstract

Fractional initial-value problems (fIVPs) arise from many fields of physics and play a very important role in various branches of science and engineering. Finding accurate and efficient methods for solving fIVPs has become an active research undertaking. In this paper, both linear and nonlinear fIVPs are considered. Exact and/or approximate analytical solutions of the fIVPs are obtained by the analytic homotopy-perturbation method (HPM). The results of applying this procedure to the studied cases show the high accuracy, simplicity and efficiency of the approach.

Original languageEnglish
Pages (from-to)574-584
Number of pages11
JournalJournal of Computational and Applied Mathematics
Volume216
Issue number2
DOIs
Publication statusPublished - 1 Jul 2008

Fingerprint

Homotopy Perturbation Method
Initial value problems
Initial Value Problem
Fractional
Simplicity
Analytical Solution
High Accuracy
Branch
Physics
Engineering

Keywords

  • Caputo's fractional derivative
  • Fractional IVPs
  • Homotopy-perturbation method

ASJC Scopus subject areas

  • Applied Mathematics
  • Computational Mathematics
  • Numerical Analysis

Cite this

Application of homotopy-perturbation method to fractional IVPs. / Abdulaziz, O.; Hashim, Ishak; Momani, S.

In: Journal of Computational and Applied Mathematics, Vol. 216, No. 2, 01.07.2008, p. 574-584.

Research output: Contribution to journalArticle

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