Existence and nonexistence of positive solutions for Dirichlet-type boundary value problem of nonlinear fractional differential equation

被引：1

作者：

Liu, Xinyi ^{[1
]}

Zeng, Zhijun ^{[1
]}

机构：

[1] Northeast Normal Univ, Sch Math & Stat, 5268 Renmin St, Changchun 130024, Jilin, Peoples R China

来源：

JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | 2017年 / 10卷 / 03期

关键词：

Positive solution; fractional differential equation; boundary value problem; the Krasnoselskii fixed point theorem; PERIODIC-SOLUTIONS;

D O I：

10.22436/jnsa.010.03.16

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate the existence and nonexistence of positive solutions for nonlinear fractional differential equation boundary value problem. By means of fixed-point theorems on a cone and the properties of Green function, some sufficient criteria are established. Our results can be considered as an extension of some previous results. (C)2017 all rights reserved.

引用

页码：1051 / 1063

页数：13

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