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The Extended Trial Equation Method for Some Time Fractional Differential Equations
Joint Authors
Misirli, Emine
Pandir, Yusuf
Gurefe, Yusuf
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-06-10
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
Nonlinear fractional partial differential equations have been solved with the help of the extended trial equation method.
Based on the fractional derivative in the sense of modified Riemann-Liouville derivative and traveling wave transformation, the fractional partial differential equation can be turned into the nonlinear nonfractional ordinary differential equation.
For illustrating the reliability of this approach, we apply it to the generalized third order fractional KdV equation and the fractional Kn,n equation according to the complete discrimination system for polynomial method.
As a result, some new exact solutions to these nonlinear problems are successfully constructed such as elliptic integral function solutions, Jacobi elliptic function solutions, and soliton solutions.
American Psychological Association (APA)
Pandir, Yusuf& Gurefe, Yusuf& Misirli, Emine. 2013. The Extended Trial Equation Method for Some Time Fractional Differential Equations. Discrete Dynamics in Nature and Society،Vol. 2013, no. 2013, pp.1-13.
https://search.emarefa.net/detail/BIM-475850
Modern Language Association (MLA)
Pandir, Yusuf…[et al.]. The Extended Trial Equation Method for Some Time Fractional Differential Equations. Discrete Dynamics in Nature and Society No. 2013 (2013), pp.1-13.
https://search.emarefa.net/detail/BIM-475850
American Medical Association (AMA)
Pandir, Yusuf& Gurefe, Yusuf& Misirli, Emine. The Extended Trial Equation Method for Some Time Fractional Differential Equations. Discrete Dynamics in Nature and Society. 2013. Vol. 2013, no. 2013, pp.1-13.
https://search.emarefa.net/detail/BIM-475850
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-475850