%0 Journal Article
%T 一类带有p-Laplacian算子的分数阶积分边值问题的多重正解<br>Multiple Positive Solutions for Fractional In-tegral Boundary Value Problems with p-Laplacian Operators
%A 武瑜
%A 刘畅
%J Advances in Applied Mathematics
%P 1340-1350
%@ 2324-8009
%D 2023
%I Hans Publishing
%R 10.12677/AAM.2023.123136
%X 本文研究了一类带有p-Laplacian算子的分数阶积分边值问题正解的存在性，通过研究格林函数的性质，运用锥拉伸锥压缩不动点定理以及Leggett-Williams不动点定理，获得了该边值问题至少存在一个正解及三个正解的充分条件，并给出实例验证所得结论。<br />
Studying the properties of Green’s function and using the cone stretching cone compression fixed point theorem and the Leggett-Williams fixed point theorem, this paper studies the existence of positive solutions for a class of fractional integral boundary value problems with p-Laplacian oper-ators, obtains sufficient conditions for the existence of at least one positive solution and three posi-tive solutions to the boundary value problems, and gives some examples illustrating the results obtained.
%K p-Laplacian算子，分数阶微分方程，边值问题<br>p-Laplacian Operators
%K Fractional Differential Equations
%K Boundary Value Problems
%U http://www.hanspub.org/journal/PaperInformation.aspx?PaperID=63459