一类带p-Laplacian算子的分数阶微分方程边值问题正解的存在性

Existence of Positive Solutions for Boundary Value Problem of Fractional Differential Equations with p-Laplacian Operator

研究了一类带p-Laplacian算子的分数阶微分方程边值问题的正解的存在性,利用Guo+Krasnosel’skii不动点定理和Legget-Williams不动点定理,得出边值问题至少存在一个正解及三个正解的充分条件,并给出了一个具体的例子.

This paper is concerned with the existence of positive solution for a class of boundary value problems of fractional differential equations with p-Laplacian operator.By using Guo-Krasnosel’skii fixed point theorem and Legget-Williams fixed point theorem,some sufficient conditions for the existence of at least one positive solution and three positive solutions are obtained.In addition,an example is given to illustrate theoretical results.