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 |
---|---|
Pages (from-to) | 1351-1365 |
Number of pages | 15 |
Journal | Applied Mathematics and Computation |
Volume | 162 |
Issue number | 3 |
DOIs | |
Publication status | Published - Mar 25 2005 |
Externally published | Yes |
Keywords
- Decomposition method
- Fractional differential equation
- Multi-term equations
ASJC Scopus subject areas
- Computational Mathematics
- Applied Mathematics