Multiple Positive Solutions for Multi-Point Boundary Value Problem of Fractional Differential Equation

被引：2

作者：

Xiping LIU ^{[1
]}

Mei JIA ^{[1
]}

Ming NIU ^{[2
]}

Xiufen XIANG ^{[3
]}

机构：

[1] College of Science,University of Shanghai for Science and Technology

[2] Department of Mathematics and Physics,Chengde Petroleum College

[3] Department of Mechanics and Electronics,Shijiazhuang Vocational Technology Institute

来源：

JournalofMathematicalResearchwithApplications | 2017年 / 37卷 / 02期

基金：

中国国家自然科学基金;

关键词：

fractional differential equation; multi-point boundary value problem; positive solution; Green function; fixed point theorem;

D O I：

暂无

中图分类号：

O175.8 [边值问题];

学科分类号：

070104 ;

摘要：

In this paper, we study the multiplicity of positive solutions for multi-point boundary value problem of Riemann-Liouville fractional differential equation with multi-terms fractional derivative in the boundary conditions. By using the properties of the Green function and a generalization of the Leggett-Williams fixed point theorem due to the work of Bai and Ge, the sufficient conditions to guarantee the existence of at least three positive solutions are established. In the end of this paper, we have also given out the example to illustrate the wide range of potential application of our main results.

引用

页码：223 / 232

页数：10

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