Existence of positive solutions of boundary value problems for high-order nonlinear conformable differential equations with p-Laplacian operator

被引：7

作者：

Zhou, Bibo ^{[1
,2
]}

Zhang, Lingling ^{[1
]}

机构：

[1] Taiyuan Univ Technol, Coll Math, Taiyuan, Shanxi, Peoples R China

[2] Luliang Univ, Dept Math, Luliang, Peoples R China

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2019年 / 2019卷 / 01期

关键词：

p-Laplacian operator; Boundary value problem; Conformable fractional derivative; Fixed point theorems;

D O I：

10.1186/s13662-019-2258-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the existence of positive solutions for boundary value problems of high-order conformable differential equations involving the p-Laplacian operator. By applying properties of the Green's function and the Guo-Krasnosel'skii fixed point theorem, some sufficient conditions for the existence of at least one positive solution are established. In addition, we demonstrate the effectiveness of the main result by using an example.

引用

页数：17

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