Numerical methods for solving nonlinear fractional integro-differential equations

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

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1 Citation (Scopus)


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
Issue number4
Publication statusPublished - 2015



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

ASJC Scopus subject areas

  • Applied Mathematics
  • Modelling and Simulation

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.