TY - JOUR
T1 - Numerical solutions for systems of fractional differential equations by the decomposition method
AU - Momani, Shaher
AU - Al-Khaled, Kamel
PY - 2005/3/25
Y1 - 2005/3/25
N2 - 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.
AB - 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.
KW - Decomposition method
KW - Fractional differential equation
KW - Multi-term equations
UR - http://www.scopus.com/inward/record.url?scp=12244291039&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=12244291039&partnerID=8YFLogxK
U2 - 10.1016/j.amc.2004.03.014
DO - 10.1016/j.amc.2004.03.014
M3 - Article
AN - SCOPUS:12244291039
SN - 0096-3003
VL - 162
SP - 1351
EP - 1365
JO - Applied Mathematics and Computation
JF - Applied Mathematics and Computation
IS - 3
ER -