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Solution of Nonlinear Space-Time Fractional Differential Equations Using the Fractional Riccati Expansion Method
Joint Authors
Abdel-Salam, Emad A.-B.
Yousif, Eltayeb A.
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-12-22
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
The fractional Riccati expansion method is proposed to solve fractional differential equations.
To illustrate the effectiveness of the method, space-time fractional Korteweg-de Vries equation, regularized long-wave equation, Boussinesq equation, and Klein-Gordon equation are considered.
As a result, abundant types of exact analytical solutions are obtained.
These solutions include generalized trigonometric and hyperbolic functions solutions which may be useful for further understanding of the mechanisms of the complicated nonlinear physical phenomena and fractional differential equations.
Among these solutions, some are found for the first time.
The periodic and kink solutions are founded as special case.
American Psychological Association (APA)
Abdel-Salam, Emad A.-B.& Yousif, Eltayeb A.. 2013. Solution of Nonlinear Space-Time Fractional Differential Equations Using the Fractional Riccati Expansion Method. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-1010935
Modern Language Association (MLA)
Abdel-Salam, Emad A.-B.& Yousif, Eltayeb A.. Solution of Nonlinear Space-Time Fractional Differential Equations Using the Fractional Riccati Expansion Method. Mathematical Problems in Engineering No. 2013 (2013), pp.1-6.
https://search.emarefa.net/detail/BIM-1010935
American Medical Association (AMA)
Abdel-Salam, Emad A.-B.& Yousif, Eltayeb A.. Solution of Nonlinear Space-Time Fractional Differential Equations Using the Fractional Riccati Expansion Method. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-1010935
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1010935