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

Boundary value problems

Mei Jia¹  Haibin Zhang¹  Qiang Chen¹ 

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

关键词: Caputo derivative;    integral boundary conditions;    half-line;    positive solutions;    fixed point theorems;    34B18;    34B10;    26A33;   

DOI  :  10.1186/s13661-016-0614-7

学科分类：数学（综合）

来源: SpringerOpen

【 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.

【 授权许可】

CC BY