On Coupled p-Laplacian Fractional Differential Equations with Nonlinear Boundary Conditions
Joint Authors
Shah, Kamal
Khan, Aziz
Khan, Tahir Saeed
Li, Yongjin
Source
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-08-17
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
This paper is related to the existence and uniqueness of solutions to a coupled system of fractional differential equations (FDEs) with nonlinear p-Laplacian operator by using fractional integral boundary conditions with nonlinear term and also to checking the Hyers-Ulam stability for the proposed problem.
The functions involved in the proposed coupled system are continuous and satisfy certain growth conditions.
By using topological degree theory some conditions are established which ensure the existence and uniqueness of solution to the proposed problem.
Further, certain conditions are developed corresponding to Hyers-Ulam type stability for the positive solution of the considered coupled system of FDEs.
Also, from applications point of view, we give an example.
American Psychological Association (APA)
Khan, Aziz& Li, Yongjin& Shah, Kamal& Khan, Tahir Saeed. 2017. On Coupled p-Laplacian Fractional Differential Equations with Nonlinear Boundary Conditions. Complexity،Vol. 2017, no. 2017, pp.1-9.
https://search.emarefa.net/detail/BIM-1143499
Modern Language Association (MLA)
Khan, Aziz…[et al.]. On Coupled p-Laplacian Fractional Differential Equations with Nonlinear Boundary Conditions. Complexity No. 2017 (2017), pp.1-9.
https://search.emarefa.net/detail/BIM-1143499
American Medical Association (AMA)
Khan, Aziz& Li, Yongjin& Shah, Kamal& Khan, Tahir Saeed. On Coupled p-Laplacian Fractional Differential Equations with Nonlinear Boundary Conditions. Complexity. 2017. Vol. 2017, no. 2017, pp.1-9.
https://search.emarefa.net/detail/BIM-1143499
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1143499