# 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 language English 1351-1365 15 Applied Mathematics and Computation 162 3 https://doi.org/10.1016/j.amc.2004.03.014 Published - Mar 25 2005

### Fingerprint

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