Sumudu decomposition method for solving higher-order nonlinear volterra-fredholm fractional integro-differential equations

K. Al-Khaled*, M. H. Yousef

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

In this paper, the Sumudu decomposition method is developed to solve the general form of the fractional nonlinear Volterra-Fredholm integro-differential equation. The fractional derivative is described in the Caputo sense. The proposed method is based on the application of the Sumudu transform to the fractional nonlinear Volterra-Fredholm integro-differential equation. The nonlinear term can easily be handled with the help of Adomian polynomials. Illustrative examples are given, and numerical results are provided to demonstrate the efficiency of the proposed method.

Original languageEnglish
Pages (from-to)348-361
Number of pages14
JournalNonlinear Dynamics and Systems Theory
Volume19
Issue number3
Publication statusPublished - 2019
Externally publishedYes

Keywords

  • Adomian decomposition
  • Approximate Solutions
  • Fractional integro-differential equation
  • Sumudu transform

ASJC Scopus subject areas

  • Mathematical Physics
  • Applied Mathematics

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