Numerical methods for solving nonlinear fractional integro-differential equations

Kamel Al-Khaled, Marwan Alquran, Amal Al-Saidi, Gaston N'Guerekata, Joydev Chattopadhyay

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

In this article we present two reliable strategies for solving fractional nonlinear Volterra-Fredholm integrodifferential equation. The fractional derivative is described in the Caputo sense. The first approach depends on a modified form of Adomian decomposition method and the second one is based upon Legendre collocation method. Illustrative examples are given, and the numerical results are provided to demonstrate the efficiency of the proposed methods.

Original languageEnglish
Pages (from-to)647-657
Number of pages11
JournalNonlinear Studies
Volume22
Issue number4
Publication statusPublished - 2015

Keywords

  • Adomian decomposition
  • Approximate solutions
  • Fractional integro-differential equation
  • Legendre approximation

ASJC Scopus subject areas

  • Applied Mathematics
  • Modelling and Simulation

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  • Cite this

    Al-Khaled, K., Alquran, M., Al-Saidi, A., N'Guerekata, G., & Chattopadhyay, J. (2015). Numerical methods for solving nonlinear fractional integro-differential equations. Nonlinear Studies, 22(4), 647-657.