On convergence of homotopy analysis method and its application to fractional integro-differential equations

S. Abbasbandy, M. S. Hashemi, Ishak Hashim

Research output: Contribution to journalArticle

107 Citations (Scopus)

Abstract

In this paper, we have used the homotopy analysis method (HAM) to obtain approximate solution of fractional integro-differential equations (FIDEs). Convergence of HAM is considered for this kind of equations. Also some examples are given to illustrate the high efficiency and precision of HAM.

Original languageEnglish
Pages (from-to)93-105
Number of pages13
JournalQuaestiones Mathematicae
Volume36
Issue number1
DOIs
Publication statusPublished - Mar 2013

Fingerprint

Homotopy Analysis Method
Integro-differential Equation
Fractional
High Efficiency
Approximate Solution

Keywords

  • convergence control parameter
  • Fractional integro-differential equation
  • homotopy analysis method

ASJC Scopus subject areas

  • Mathematics (miscellaneous)

Cite this

On convergence of homotopy analysis method and its application to fractional integro-differential equations. / Abbasbandy, S.; Hashemi, M. S.; Hashim, Ishak.

In: Quaestiones Mathematicae, Vol. 36, No. 1, 03.2013, p. 93-105.

Research output: Contribution to journalArticle

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