摘要
In this paper, we investigate a new type of fractional coupled nonlinear equations. By introducing the fractional derivative that satisfies the Caputo＇s definition, we directly extend the applications of the Adomian decomposition method to the new system. As a result, with the aid of Maple, the realistic and convergent rapidly series solutions are obtained with easily computable components. Two famous fractional coupled examples： KdV and mKdV equations, are used to illustrate the efficiency and accuracy of the proposed method.
基金
The project supported by National Natural Science Foundation of China under Grant No.10735030
Shanghai Leading Academic Discipline Project under Grant No.B412
Natural Science Foundation of Zhejiang Province under Grant No.Y604056
Doctoral Science Foundation of Ningbo City under Grant No.2005A61030
Program for Changjiang Scholars and Innovative Research Team in University under Grant No.IRT0734
