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

Fingerprint

Fredholm Equation
Integrodifferential equations
Adomian Decomposition Method
Fractional Derivative
Legendre
Volterra
Collocation Method
Integro-differential Equation
Numerical methods
Fractional
Numerical Methods
Derivatives
Decomposition
Numerical Results
Demonstrate
Strategy
Form

Keywords

  • 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.

Numerical methods for solving nonlinear fractional integro-differential equations. / Al-Khaled, Kamel; Alquran, Marwan; Al-Saidi, Amal; N'Guerekata, Gaston; Chattopadhyay, Joydev.

In: Nonlinear Studies, Vol. 22, No. 4, 2015, p. 647-657.

Research output: Contribution to journalArticle

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, vol. 22, no. 4, pp. 647-657.
Al-Khaled K, Alquran M, Al-Saidi A, N'Guerekata G, Chattopadhyay J. Numerical methods for solving nonlinear fractional integro-differential equations. Nonlinear Studies. 2015;22(4):647-657.
Al-Khaled, Kamel ; Alquran, Marwan ; Al-Saidi, Amal ; N'Guerekata, Gaston ; Chattopadhyay, Joydev. / Numerical methods for solving nonlinear fractional integro-differential equations. In: Nonlinear Studies. 2015 ; Vol. 22, No. 4. pp. 647-657.
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