| Issue |
Wuhan Univ. J. Nat. Sci.
Volume 27, Number 4, August 2022
|
|
|---|---|---|
| Page(s) | 287 - 295 | |
| DOI | https://doi.org/10.1051/wujns/2022274287 | |
| Published online | 26 September 2022 | |
Mathematics
CLC number: O 175.8
Existence of Triple Positive Solutions to a Four-Point Boundary Value Problem of a Fractional Differential Equations
College of Mathematics and Statistics, Hefei Normal University, Hefei 230061, Anhui, China
Received:
5
January
2022
In this paper, the existence result of at least triple positive solutions to a boundary value problem of a fractional differential equations is achieved by means of the Avery-Peterson fixed point theorem and the careful analysis of the associate Green's function in which the derivative of unknown function is involved in the nonlinear term explicitly. An example illustrating our main result is given. Our results complement the previous work in the area of the positive solutions of fractional differential equations.
Key words: fixed point / positive solution / cone / Avery-Peterson fixed point theorem
Biography: YANG Liu, male, Professor, research direction: differential equations. E-mail:yliu722@163.com
Fundation item: Supported by the National Natural Science Foundation of China (12001152), the Natural Science Foundation of Anhui Province (A2008085QA08, KJ2020A0089, KJ2021A0927)
© Wuhan University 2022
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