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Coupled System of Nonlinear Fractional Langevin Equations with Multipoint and Nonlocal Integral Boundary Conditions
Joint Authors
Salem, Ahmed
Alzahrani, Faris
Alnegga, Mohammad
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-02-21
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
This research paper is about the existence and uniqueness of the coupled system of nonlinear fractional Langevin equations with multipoint and nonlocal integral boundary conditions.
The Caputo fractional derivative is used to formulate the fractional differential equations, and the fractional integrals mentioned in the boundary conditions are due to Atangana–Baleanu and Katugampola.
The existence of solution has been proven by two main fixed-point theorems: O’Regan’s fixed-point theorem and Krasnoselskii’s fixed-point theorem.
By applying Banach’s fixed-point theorem, we proved the uniqueness result for the concerned problem.
This research paper highlights the examples related with theorems that have already been proven.
American Psychological Association (APA)
Salem, Ahmed& Alzahrani, Faris& Alnegga, Mohammad. 2020. Coupled System of Nonlinear Fractional Langevin Equations with Multipoint and Nonlocal Integral Boundary Conditions. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-15.
https://search.emarefa.net/detail/BIM-1197914
Modern Language Association (MLA)
Salem, Ahmed…[et al.]. Coupled System of Nonlinear Fractional Langevin Equations with Multipoint and Nonlocal Integral Boundary Conditions. Mathematical Problems in Engineering No. 2020 (2020), pp.1-15.
https://search.emarefa.net/detail/BIM-1197914
American Medical Association (AMA)
Salem, Ahmed& Alzahrani, Faris& Alnegga, Mohammad. Coupled System of Nonlinear Fractional Langevin Equations with Multipoint and Nonlocal Integral Boundary Conditions. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-15.
https://search.emarefa.net/detail/BIM-1197914
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1197914