Positive solutions of higher order fractional integral boundary value problem with a parameter

Nonlinear Analysis

Lishan Liu¹  Xinan Hao²  Luyao Zhang² 

[1] Curtin University;Qufu Normal University;

关键词: positive solution;    fractional differential equation;    integral boundary condition;    fixed point theorem;    cone;   

DOI  :  10.15388/NA.2019.2.4

来源: DOAJ

【 摘 要 】

In this paper, we study a higher-order fractional differential equation with integral boundary conditions and a parameter. Under different conditions of nonlinearity, existence and nonexistence results for positive solutions are derived in terms of different intervals of parameter. Our approach relies on the Guo–Krasnoselskii fixed point theorem on cones.

【 授权许可】

Unknown