Iterative Analysis of Nonlinear BBM Equations under Nonsingular Fractional Order Derivative
Joint Authors
Abdeljawad (Maraaba), T.
Shah, Kamal
Ali, Gauhar
Ahmad, Israr
Source
Advances in Mathematical Physics
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-08-13
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
The present research work is devoted to investigate fractional order Benjamin-Bona-Mahony (FBBM) as well as modified fractional order FBBM (FMBBM) equations under nonlocal and nonsingular derivative of Caputo-Fabrizio (CF).
In this regards, some qualitative results including the existence of at least one solution are established via using some fixed point results of Krasnoselskii and Banach.
Further on using an iterative method, some semianalytical results are also studied.
The concerned tool is formed when the Adomian decomposition method is coupled with some integral transform like Laplace.
Graphical presentations are given for various fractional orders.
Also, the concerned method is also compared with some variational-type perturbation method to demonstrate the efficiency of the proposed method.
American Psychological Association (APA)
Ali, Gauhar& Ahmad, Israr& Shah, Kamal& Abdeljawad (Maraaba), T.. 2020. Iterative Analysis of Nonlinear BBM Equations under Nonsingular Fractional Order Derivative. Advances in Mathematical Physics،Vol. 2020, no. 2020, pp.1-12.
https://search.emarefa.net/detail/BIM-1127350
Modern Language Association (MLA)
Ali, Gauhar…[et al.]. Iterative Analysis of Nonlinear BBM Equations under Nonsingular Fractional Order Derivative. Advances in Mathematical Physics No. 2020 (2020), pp.1-12.
https://search.emarefa.net/detail/BIM-1127350
American Medical Association (AMA)
Ali, Gauhar& Ahmad, Israr& Shah, Kamal& Abdeljawad (Maraaba), T.. Iterative Analysis of Nonlinear BBM Equations under Nonsingular Fractional Order Derivative. Advances in Mathematical Physics. 2020. Vol. 2020, no. 2020, pp.1-12.
https://search.emarefa.net/detail/BIM-1127350
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1127350