Some Nonlinear Fractional PDEs Involving β-Derivative by Using Rational exp−Ωη-Expansion Method
Author
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-22, 22 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-05-27
Country of Publication
Egypt
No. of Pages
22
Main Subjects
Abstract EN
In this article, some new nonlinear fractional partial differential equations (PDEs) (the space-time fractional order Boussinesq equation; the space-time (2 + 1)-dimensional breaking soliton equations; and the space-time fractional order SRLW equation) have been considered, in which the treatment of these equations in the diverse applications are described.
Also, the fractional derivatives in the sense of β-derivative are defined.
Some fractional PDEs will convert to consider ordinary differential equations (ODEs) with the help of transformation β-derivative.
These equations are analyzed utilizing an integration scheme, namely, the rational exp−Ωη-expansion method.
Different kinds of traveling wave solutions such as solitary, topological, dark soliton, periodic, kink, and rational are obtained as a by product of this scheme.
Finally, the existence of the solutions for the constraint conditions is also shown.
The outcome indicates that some fractional PDEs are used as a growing finding in the engineering sciences, mathematical physics, and so on.
American Psychological Association (APA)
Bin Jebreen, Haifa. 2020. Some Nonlinear Fractional PDEs Involving β-Derivative by Using Rational exp−Ωη-Expansion Method. Complexity،Vol. 2020, no. 2020, pp.1-22.
https://search.emarefa.net/detail/BIM-1145437
Modern Language Association (MLA)
Bin Jebreen, Haifa. Some Nonlinear Fractional PDEs Involving β-Derivative by Using Rational exp−Ωη-Expansion Method. Complexity No. 2020 (2020), pp.1-22.
https://search.emarefa.net/detail/BIM-1145437
American Medical Association (AMA)
Bin Jebreen, Haifa. Some Nonlinear Fractional PDEs Involving β-Derivative by Using Rational exp−Ωη-Expansion Method. Complexity. 2020. Vol. 2020, no. 2020, pp.1-22.
https://search.emarefa.net/detail/BIM-1145437
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1145437