Existence of positive solutions for fractional differential equation with integral boundary conditions on the half-line

被引：9

作者：

Jia, Mei ^{[1
]}

Zhang, Haibin ^{[1
]}

Chen, Qiang ^{[1
]}

机构：

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

来源：

BOUNDARY VALUE PROBLEMS | 2016年

基金：

中国国家自然科学基金;

关键词：

Caputo derivative; integral boundary conditions; half-line; positive solutions; fixed point theorems; INFINITE INTERVAL; P-LAPLACIAN;

D O I：

10.1186/s13661-016-0614-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper considers the existence of positive solutions for fractional-order nonlinear differential equation with integral boundary conditions on the half-infinite interval. By using the fixed point theorem in a cone, sufficient conditions for the existence of at least one or at least two positive solutions of a boundary value problem are established. These theorems also reveal the properties of solutions on the half-line.

引用

页数：16

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