Searching closed form analytic solutions to some nonlinear fractional wave equations
Joint Authors
Tariq al-Islam
Ikram al-Islam
Akbar, Ali
Source
Arab Journal of Basic and Applied Sciences
Issue
Vol. 28, Issue 1 (31 Dec. 2021), pp.64-72, 9 p.
Publisher
University of Bahrain College of Science
Publication Date
2021-12-31
Country of Publication
Bahrain
No. of Pages
9
Main Subjects
Abstract EN
Numerous tangible incidents in physics, chemistry, applied mathematics and engineering are described successfully by means of models making use of the theory of derivatives of fractional order and research in this area has grown significantly.
In this article, we establish exact solutions to some nonlinear fractional differential equations.
The recently established rational (G'/G)-expansion method with the help of fractional complex transform is used to examine abundant further general and new closed form wave solutions to the nonlinear space-time fractional mBBM equation, the space-time fractional Burger’s equation and the space-time fractional ZKBBM in the sense of the Jumarie modified Riemann-Liouville derivative.
The fractional complex transform reduces the nonlinear fractional differential equations into nonlinear ordinary differential equations and then the theories of ordinary differential equations are implemented effectively.
It is observed that the performance of this method is reliable, useful and gives new and broad-ranging closed form solutions than the existing methods.
American Psychological Association (APA)
Tariq al-Islam& Ikram al-Islam& Akbar, Ali. 2021. Searching closed form analytic solutions to some nonlinear fractional wave equations. Arab Journal of Basic and Applied Sciences،Vol. 28, no. 1, pp.64-72.
https://search.emarefa.net/detail/BIM-1340611
Modern Language Association (MLA)
Tariq al-Islam…[et al.]. Searching closed form analytic solutions to some nonlinear fractional wave equations. Arab Journal of Basic and Applied Sciences Vol. 28, no. 1 (2021), pp.64-72.
https://search.emarefa.net/detail/BIM-1340611
American Medical Association (AMA)
Tariq al-Islam& Ikram al-Islam& Akbar, Ali. Searching closed form analytic solutions to some nonlinear fractional wave equations. Arab Journal of Basic and Applied Sciences. 2021. Vol. 28, no. 1, pp.64-72.
https://search.emarefa.net/detail/BIM-1340611
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 70-72
Record ID
BIM-1340611