The positive solutions of infinite-point boundary value problem of fractional differential equations on the infinite interval

被引：19

作者：

Li, Xiaochen ^{[1
]}

Liu, Xiping ^{[1
]}

Jia, Mei ^{[1
]}

Zhang, Luchao ^{[1
]}

机构：

[1] Univ Shanghai Sci & Technol, Coll Sci, Shanghai 200093, Peoples R China

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2017年

基金：

中国国家自然科学基金;

关键词：

fractional differential equations; infinite-point boundary value problem; half line; positive solution; L-1-Caratheodory conditions; INITIAL-VALUE PROBLEMS; P-LAPLACIAN; EXISTENCE; NONEXISTENCE; MULTIPLICITY; SOLVABILITY; UNIQUENESS;

D O I：

10.1186/s13662-017-1185-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider a class of infinite-point boundary value problems of fractional differential equations on the infinite interval [0,+infinity) with a disturbance parameter. By using the method of upper and lower solutions, fixed point index theory and some fixed point theorems, the existence, multiplicity and nonexistence for the positive solution of the boundary value problem are obtained, respectively. The impact of the disturbance parameters on the existence of positive solutions is also given. Finally, some examples are presented to illustrate the wide range of potential applications of our main results.

引用

页数：21

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