Positive Solutions for Periodic Boundary Value Problems of Fractional Differential Equations with Sign-Changing Nonlinearity and Green’s Function-Reference-Cited by-同舟云学术

Positive Solutions for Periodic Boundary Value Problems of Fractional Differential Equations with Sign-Changing Nonlinearity and Green’s Function

Published:2023-08-26 Issue:9 Volume:12 Page:819
ISSN:2075-1680
Container-title:Axioms
language:en
Short-container-title:Axioms

Author:

Yan Rian¹^ORCID,Zhao Yige²^ORCID

Affiliation:

1. School of Mathematics and Computer Science, Hunan City University, Yiyang 413000, China

2. School of Mathematical Sciences, University of Jinan, Jinan 250022, China

Abstract

In this paper, a class of nonlinear fractional differential equations with periodic boundary condition is investigated. Although the nonlinearity of the equation and the Green’s function are sign-changing, the results of the existence and nonexistence of positive solutions are obtained by using the Schaefer’s fixed-point theorem. Finally, two examples are given to illustrate the main results.

Funder

National Natural Science Foundation of China

Natural Science Foundation of the Department of Education of Hunan Province

Educational Department of Hunan Province of China

Science and Technology Program of University of Jinan

Publisher

MDPI AG

Subject

Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis

Link

https://www.mdpi.com/2075-1680/12/9/819/pdf

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