Abstract
Research about multiple positive solutions for fractional differential equations is very important. Based on some outstanding results reported in this field, this paper continues the focus on this topic. By using the properties of the Green function and generalized Avery–Henderson fixed point theorem, we derive three positive solutions of a class of fractional differential equations with a p-Laplacian operator. We also study the nonexistence of positive solutions to the eigenvalue problem of the equation. Three examples are given to illustrate our main result.
Recommended Citation
H. Zhang et al., "Multiple and Nonexistence of Positive Solutions for a Class of Fractional Differential Equations with P-Laplacian Operator," Mathematics, vol. 12, no. 23, article no. 3869, MDPI, Dec 2024.
The definitive version is available at https://doi.org/10.3390/math12233869
Department(s)
Mathematics and Statistics
Publication Status
Open Access
Keywords and Phrases
generalized Avery–Henderson fixed point theorem; integral boundary conditions; p-Laplacian; positive solutions
International Standard Serial Number (ISSN)
2227-7390
Document Type
Article - Journal
Document Version
Final Version
File Type
text
Language(s)
English
Rights
© 2025 The Authors, All rights reserved.
Creative Commons Licensing
This work is licensed under a Creative Commons Attribution 4.0 License.
Publication Date
01 Dec 2024
Comments
National Natural Science Foundation of China, Grant 11871302