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Asymptotic Expansion of the Solutions to Time-Space Fractional Kuramoto-Sivashinsky Equations
Joint Authors
Gao, Yixian
Xu, Fei
Zhang, Weipeng
Yin, Weishi
Source
Advances in Mathematical Physics
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-12-14
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
This paper is devoted to finding the asymptotic expansion of solutions to fractional partial differential equations with initial conditions.
A new method, the residual power series method, is proposed for time-space fractional partial differential equations, where the fractional integral and derivative are described in the sense of Riemann-Liouville integral and Caputo derivative.
We apply the method to the linear and nonlinear time-space fractional Kuramoto-Sivashinsky equation with initial value and obtain asymptotic expansion of the solutions, which demonstrates the accuracy and efficiency of the method.
American Psychological Association (APA)
Yin, Weishi& Xu, Fei& Zhang, Weipeng& Gao, Yixian. 2016. Asymptotic Expansion of the Solutions to Time-Space Fractional Kuramoto-Sivashinsky Equations. Advances in Mathematical Physics،Vol. 2016, no. 2016, pp.1-9.
https://search.emarefa.net/detail/BIM-1095836
Modern Language Association (MLA)
Yin, Weishi…[et al.]. Asymptotic Expansion of the Solutions to Time-Space Fractional Kuramoto-Sivashinsky Equations. Advances in Mathematical Physics No. 2016 (2016), pp.1-9.
https://search.emarefa.net/detail/BIM-1095836
American Medical Association (AMA)
Yin, Weishi& Xu, Fei& Zhang, Weipeng& Gao, Yixian. Asymptotic Expansion of the Solutions to Time-Space Fractional Kuramoto-Sivashinsky Equations. Advances in Mathematical Physics. 2016. Vol. 2016, no. 2016, pp.1-9.
https://search.emarefa.net/detail/BIM-1095836
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1095836