Existence and Uniqueness of Positive Solutions for a Coupled System of Fractional Differential Equations

In this article, we investigate a boundary value problem for a coupled differential system of fractional order that the nonlinear term depends on the unknown functions as well as their lower order fractional derivatives. Firstly, we give Green’s functions and prove their properties; secondly, the ex...

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Bibliographic Details
Published inDiscrete dynamics in nature and society Vol. 2022; no. 1
Main Authors Feng, Hanying, Zhang, Xiaofeng
Format Journal Article
LanguageEnglish
Published New York Hindawi 2022
John Wiley & Sons, Inc
Hindawi Limited
Wiley
Subjects
Banach spaces
Boundary value problems
Control theory
Differential equations
Fixed points (mathematics)
Fractional calculus
Green's functions
Investigations
Uniqueness
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Summary:In this article, we investigate a boundary value problem for a coupled differential system of fractional order that the nonlinear term depends on the unknown functions as well as their lower order fractional derivatives. Firstly, we give Green’s functions and prove their properties; secondly, the existence and uniqueness of positive solutions are obtained by using some fixed point theorems. In addition, two examples are presented to demonstrate the application of our main results.
ISSN:1026-0226
1607-887X
DOI:10.1155/2022/7779977