Existence of positive solutions for nonlocal boundary value problem of fractional differential equation

被引：13

作者：

Liu, Xiping ^{[1
]}

Lin, Legang ^{[1
]}

Fang, Haiqin ^{[1
]}

机构：

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

来源：

CENTRAL EUROPEAN JOURNAL OF PHYSICS | 2013年 / 11卷 / 10期

基金：

中国国家自然科学基金;

关键词：

fractional differential equation; nonlocal boundary value problem; upper and lower solutions; fixed point theorem; positive solutions; OPERATORS;

D O I：

10.2478/s11534-013-0238-9

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, we study a type of nonlinear fractional differential equations multi-point boundary value problem with fractional derivative in the boundary conditions. By using the upper and lower solutions method and fixed point theorems, some results for the existence of positive solutions for the boundary value problem are established. Some examples are also given to illustrate our results.

引用

页码：1423 / 1432

页数：10

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