Numerical solutions for systems of fractional differential equations by the decomposition method

Shaher Momani, Kamel Al-Khaled

Research output: Contribution to journalArticle

100 Citations (Scopus)

Abstract

In this paper we use Adomian decomposition method to solve systems of nonlinear fractional differential equations and a linear multi-term fractional differential equation by reducing it to a system of fractional equations each of order at most unity. We begin by showing how the decomposition method applies to a class of nonlinear fractional differential equations and give two examples to illustrate the efficiency of the method. Moreover, we show how the method can be applied to a general linear multi-term equation and solve several applied problems.

Original languageEnglish
Pages (from-to)1351-1365
Number of pages15
JournalApplied Mathematics and Computation
Volume162
Issue number3
DOIs
Publication statusPublished - Mar 25 2005

Fingerprint

Fractional Differential Equation
Decomposition Method
Differential equations
Numerical Solution
Decomposition
Nonlinear Differential Equations
Adomian Decomposition Method
Term
Fractional

Keywords

  • Decomposition method
  • Fractional differential equation
  • Multi-term equations

ASJC Scopus subject areas

  • Applied Mathematics
  • Computational Mathematics
  • Numerical Analysis

Cite this

Numerical solutions for systems of fractional differential equations by the decomposition method. / Momani, Shaher; Al-Khaled, Kamel.

In: Applied Mathematics and Computation, Vol. 162, No. 3, 25.03.2005, p. 1351-1365.

Research output: Contribution to journalArticle

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