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Existence and Uniqueness Results for a Class of Singular Fractional Boundary Value Problems with the p-Laplacian Operator via the Upper and Lower Solutions Approach
Joint Authors
Pak, SunAe
Jong, KumSong
Choi, HuiChol
Sin, YongSim
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-06-15
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
In this paper, we study the existence and uniqueness of positive solutions to a class of multipoint boundary value problems for singular fractional differential equations with the p-Laplacian operator.
Here, the nonlinear source term f permits singularity with respect to its time variable t.
Some fixed-point theorems such as the Leray-Schauder nonlinear alternative, the Schauder fixed-point theorem, and the Banach contraction mapping principle and the properties of the Gauss hypergeometric function are used to prove our main results.
And by employing the upper and lower solutions technique, we derive a new approach to obtain the maximal and minimal solutions to the given problem.
Finally, we present some examples to demonstrate our existence and uniqueness results.
American Psychological Association (APA)
Jong, KumSong& Choi, HuiChol& Sin, YongSim& Pak, SunAe. 2020. Existence and Uniqueness Results for a Class of Singular Fractional Boundary Value Problems with the p-Laplacian Operator via the Upper and Lower Solutions Approach. Journal of Function Spaces،Vol. 2020, no. 2020, pp.1-15.
https://search.emarefa.net/detail/BIM-1185283
Modern Language Association (MLA)
Jong, KumSong…[et al.]. Existence and Uniqueness Results for a Class of Singular Fractional Boundary Value Problems with the p-Laplacian Operator via the Upper and Lower Solutions Approach. Journal of Function Spaces No. 2020 (2020), pp.1-15.
https://search.emarefa.net/detail/BIM-1185283
American Medical Association (AMA)
Jong, KumSong& Choi, HuiChol& Sin, YongSim& Pak, SunAe. Existence and Uniqueness Results for a Class of Singular Fractional Boundary Value Problems with the p-Laplacian Operator via the Upper and Lower Solutions Approach. Journal of Function Spaces. 2020. Vol. 2020, no. 2020, pp.1-15.
https://search.emarefa.net/detail/BIM-1185283
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1185283