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 ...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.展开更多
This paper deals with an integral transformation involving Whittaker function Mk,m（X） into a multiple hypergeometric series of Lauricella function FA（n） of n variables. A number of known and new transformation and...This paper deals with an integral transformation involving Whittaker function Mk,m（X） into a multiple hypergeometric series of Lauricella function FA（n） of n variables. A number of known and new transformation and reduction formulae for a hypergeometric function 2F1, Appell function F2, Lauricella function FA（3） and a hypergeometric function of four variables Fp（4） are derived as special cases.展开更多
基金The project supported by National Natural Science Foundation of China under Grant No.10735030Shanghai Leading Academic Discipline Project under Grant No.B412+2 种基金Natural Science Foundation of Zhejiang Province under Grant No.Y604056Doctoral Science Foundation of Ningbo City under Grant No.2005A61030Program for Changjiang Scholars and Innovative Research Team in University under Grant No.IRT0734
文摘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.
文摘This paper deals with an integral transformation involving Whittaker function Mk,m（X） into a multiple hypergeometric series of Lauricella function FA（n） of n variables. A number of known and new transformation and reduction formulae for a hypergeometric function 2F1, Appell function F2, Lauricella function FA（3） and a hypergeometric function of four variables Fp（4） are derived as special cases.
