Optimum Solutions of Fractional Order Zakharov–Kuznetsov Equations
Joint Authors
Zada, Laiq
Khattak, Abraiz
Jibran, Muhammad
Khan, Adam
Nawaz, Rashid
Source
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-12-10
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
In this paper, the Optimal Homotopy Asymptotic Method is extended to derive the approximate solutions of fractional order two-dimensional partial differential equations.
The fractional order Zakharov–Kuznetsov equation is solved as a test example, while the time fractional derivatives are described in the Caputo sense.
The solutions of the problem are computed in the form of rapidly convergent series with easily calculable components using Mathematica.
Reliability of the proposed method is given by comparison with other methods in the literature.
The obtained results showed that the method is powerful and efficient for determination of solution of higher-dimensional fractional order partial differential equations.
American Psychological Association (APA)
Nawaz, Rashid& Zada, Laiq& Khattak, Abraiz& Jibran, Muhammad& Khan, Adam. 2019. Optimum Solutions of Fractional Order Zakharov–Kuznetsov Equations. Complexity،Vol. 2019, no. 2019, pp.1-9.
https://search.emarefa.net/detail/BIM-1131114
Modern Language Association (MLA)
Nawaz, Rashid…[et al.]. Optimum Solutions of Fractional Order Zakharov–Kuznetsov Equations. Complexity No. 2019 (2019), pp.1-9.
https://search.emarefa.net/detail/BIM-1131114
American Medical Association (AMA)
Nawaz, Rashid& Zada, Laiq& Khattak, Abraiz& Jibran, Muhammad& Khan, Adam. Optimum Solutions of Fractional Order Zakharov–Kuznetsov Equations. Complexity. 2019. Vol. 2019, no. 2019, pp.1-9.
https://search.emarefa.net/detail/BIM-1131114
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1131114