Numerical solutions of a new type of fractional coupled nonlinear equations

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	Numerical solutions of a new type of fractional coupled nonlinear equations
	Chen, Yong 1,2,3,4; An, Hong-Li 2,3,4
	2008-04-15
发表期刊	COMMUNICATIONS IN THEORETICAL PHYSICS
ISSN	0253-6102
卷号	49 期号:4 页码:839-844
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.
关键词	adomian decomposition method fractional calculus fractional coupled equations numerical solution
语种	英语
WOS研究方向	Physics
WOS类目	Physics, Multidisciplinary
WOS记录号	WOS:000255100900007
出版者	IOP PUBLISHING LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/6144
专题	中国科学院数学与系统科学研究院
通讯作者	Chen, Yong
作者单位	1.E China Normal Univ, Shanghai Key Lab Trustworthy Comp, Shanghai 200062, Peoples R China 2.Ningbo Univ, Dept Math, Ningbo 315211, Zhejiang, Peoples R China 3.Ningbo Univ, Ctr Nonlinear Sci, Ningbo 315211, Zhejiang, Peoples R China 4.Chinese Acad Sci, Key Lab Math Mechanizat, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Chen, Yong,An, Hong-Li. Numerical solutions of a new type of fractional coupled nonlinear equations[J]. COMMUNICATIONS IN THEORETICAL PHYSICS,2008,49(4):839-844.
APA	Chen, Yong,&An, Hong-Li.(2008).Numerical solutions of a new type of fractional coupled nonlinear equations.COMMUNICATIONS IN THEORETICAL PHYSICS,49(4),839-844.
MLA	Chen, Yong,et al."Numerical solutions of a new type of fractional coupled nonlinear equations".COMMUNICATIONS IN THEORETICAL PHYSICS 49.4(2008):839-844.