The positive solutions of infinite-point boundary value problem of fractional differential equations on the infinite interval

作者：Li, Xiaochen; Liu, Xiping^*; Jia, Mei; Zhang, Luchao

来源：Advances in Difference Equations, 2017, 2017(1): 126.

DOI：10.1186/s13662-017-1185-3

• fractional differential equations
• infinite-point boundary value problem
• half line
• positive solution
• L-1-Caratheodory conditions

In this paper, we consider a class of infinite-point boundary value problems of fractional differential equations on the infinite interval [0,+infinity) with a disturbance parameter. By using the method of upper and lower solutions, fixed point index theory and some fixed point theorems, the existence, multiplicity and nonexistence for the positive solution of the boundary value problem are obtained, respectively. The impact of the disturbance parameters on the existence of positive solutions is also given. Finally, some examples are presented to illustrate the wide range of potential applications of our main results.

• 出版日期2017-5-3
• 单位上海理工大学