一类带p-Laplacian算子分数阶微分方程边值问题正解的存在性

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

利用Guo-Krasnoselskii不动点定理探讨了一类带p-Laplacian算子的分数阶微分方程边值问题正解的存在性,得出正解的存在性定理和至少存在一个正解的判断根据,并通过具体的例子验证了结论的适用性。

Abstract:In this paper,the existence of positive solutions for boundary value problem of fractional differential equations with p-Laplacian operator is studied by using the Guo-Krasnoselskii fixed point theorem.Then,The existence theorem of positive solutions and the judgment basis of having at least one positive solution are given.Finally,the applicability of the conclusion is verified by an example.