Existence and nonexistence of positive solutions for fractional integral boundary value problem with two disturbance parameters

Boundary value problems

Xiao Wang¹  Xiping Liu¹  Xuejing Deng¹ 

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

关键词: fractional differential equation;    Riemann-Liouville fractional derivative;    integral boundary problem;    positive solution;    existence and nonexistence;    disturbance parameter;    34B15;    26A33;   

DOI  :  10.1186/s13661-015-0450-1

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we consider a class of fractional differential equations with integral boundary conditions which involve two disturbance parameters. By using the Guo-Krasnoselskii fixed point theorem, new results on the existence and nonexistence of positive solutions for the boundary value problem are obtained. And the impact of the disturbance parameters on the existence of positive solutions is also investigated. Finally, we give some examples to illustrate our main results.

【 授权许可】

CC BY