The fractional complex transformation for nonlinear fractional partial differential equations in the mathematical physics
Joint Authors
Zayid, al-Sayyid M. E.
Amir, Yasir A.
Shuayb, Riham M. A.
Source
Arab Journal of Basic and Applied Sciences
Issue
Vol. 19, Issue 0 (29 Feb. 2016), pp.59-69, 11 p.
Publisher
University of Bahrain College of Science
Publication Date
2016-02-29
Country of Publication
Bahrain
No. of Pages
11
Main Subjects
Topics
Abstract EN
In this article, the modified extended tanh-function method is employed to solve fractional partial differential equations in the sense of the modified Riemann–Liouville derivative.
Based on a nonlinear fractional complex transformation, certain fractional partial differential equations can be turned into nonlinear ordinary differential equations of integer orders.
For illustrating the validity of this method, we apply it to four nonlinear equations namely, the space–time fractional generalized nonlinear Hirota–Satsuma coupled KdV equations, the space– time fractional nonlinear Whitham–Broer–Kaup equations, the space–time fractional nonlinear coupled Burgers equations and the space–time fractional nonlinear coupled mKdV equations.
American Psychological Association (APA)
Zayid, al-Sayyid M. E.& Amir, Yasir A.& Shuayb, Riham M. A.. 2016. The fractional complex transformation for nonlinear fractional partial differential equations in the mathematical physics. Arab Journal of Basic and Applied Sciences،Vol. 19, no. 0, pp.59-69.
https://search.emarefa.net/detail/BIM-668514
Modern Language Association (MLA)
Zayid, al-Sayyid M. E.…[et al.]. The fractional complex transformation for nonlinear fractional partial differential equations in the mathematical physics. Arab Journal of Basic and Applied Sciences Vol. 19 (Feb. 2016), pp.59-69.
https://search.emarefa.net/detail/BIM-668514
American Medical Association (AMA)
Zayid, al-Sayyid M. E.& Amir, Yasir A.& Shuayb, Riham M. A.. The fractional complex transformation for nonlinear fractional partial differential equations in the mathematical physics. Arab Journal of Basic and Applied Sciences. 2016. Vol. 19, no. 0, pp.59-69.
https://search.emarefa.net/detail/BIM-668514
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 68-69
Record ID
BIM-668514