Ulam Type Stability for a Coupled System of Boundary Value Problems of Nonlinear Fractional Differential Equations
Joint Authors
Shah, Kamal
Khan, Aziz
Khan, Tahir Saeed
Li, Yongjin
Source
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-10-11
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
We discuss existence, uniqueness, and Hyers-Ulam stability of solutions for coupled nonlinear fractional order differential equations (FODEs) with boundary conditions.
Using generalized metric space, we obtain some relaxed conditions for uniqueness of positive solutions for the mentioned problem by using Perov’s fixed point theorem.
Moreover, necessary and sufficient conditions are obtained for existence of at least one solution by Leray-Schauder-type fixed point theorem.
Further, we also develop some conditions for Hyers-Ulam stability.
To demonstrate our main result, we provide a proper example.
American Psychological Association (APA)
Khan, Aziz& Shah, Kamal& Li, Yongjin& Khan, Tahir Saeed. 2017. Ulam Type Stability for a Coupled System of Boundary Value Problems of Nonlinear Fractional Differential Equations. Journal of Function Spaces،Vol. 2017, no. 2017, pp.1-8.
https://search.emarefa.net/detail/BIM-1176382
Modern Language Association (MLA)
Khan, Aziz…[et al.]. Ulam Type Stability for a Coupled System of Boundary Value Problems of Nonlinear Fractional Differential Equations. Journal of Function Spaces No. 2017 (2017), pp.1-8.
https://search.emarefa.net/detail/BIM-1176382
American Medical Association (AMA)
Khan, Aziz& Shah, Kamal& Li, Yongjin& Khan, Tahir Saeed. Ulam Type Stability for a Coupled System of Boundary Value Problems of Nonlinear Fractional Differential Equations. Journal of Function Spaces. 2017. Vol. 2017, no. 2017, pp.1-8.
https://search.emarefa.net/detail/BIM-1176382
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1176382