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

Reference34 articles.

1. Oldham, K.B., and Spanier, J. (1974). The Fractional Calculus: Theory and Applications of Differentiation and Integration to Arbitrary Order, Academic Press.

2. Kilbas, A.A., Srivastava, H.M., and Trujillo, J.J. (2006). Theory and Applications of Fractional Differential Equations, Elsevier.

3. Podlubny, I. (1999). Fractional Differential Equations, Acad Press.

4. Porosity Reconstruction Based on Biot Elastic Model of Porous Media by Homotopy Perturbation Method;Liu;Chaos Solitons Fractals,2022

5. Liu, T., Xia, K., Zheng, Y., Yang, Y., Qiu, R., Qi, Y., and Liu, C. (2022). A Homotopy Method for the Constrained Inverse Problem in the Multiphase Porous Media Flow. Processes, 10.

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Positive and decreasing solutions for higher order Caputo boundary valueproblems with sign-changing Green’s function;Turkish Journal of Mathematics;2024-07-03

2. Solvability for a class of φ-Laplacian nonlinear fractional differential equations with parameters*;2024 36th Chinese Control and Decision Conference (CCDC);2024-05-25

3. A Comprehensive Evaluation System for the Sightings of Asian Giant Hornet;2023 2nd International Conference on Automation, Robotics and Computer Engineering (ICARCE);2023-12-14