Positive solutions to p-Laplacian fractional differential equations with infinite-point boundary value conditions

被引：4

作者：

Wang, Han ^{[1
]}

Liu, Suli ^{[1
]}

Li, Huilai ^{[1
]}

机构：

[1] Jilin Univ, Dept Math, Changchun, Jilin, Peoples R China

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2018年

基金：

中国国家自然科学基金;

关键词：

Fractional differential equations; Infinite-point boundary conditions; p-Laplacian operators; Fixed point theorems; BANACH-SPACES; EXISTENCE;

D O I：

10.1186/s13662-018-1886-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is devoted to an investigation of the multiple positive solutions to a class of infinite-point boundary value problems of nonlinear fractional differential equations coupled with the p-Laplacian operators and infinite-point boundary value conditions. By means of the properties of Green's function and fixed point theorems, we establish the suitable criteria to guarantee the existence of positive solutions. Finally, an example is given in order to illustrate the main results.

引用

页数：15

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