Existence of positive solutions for a fractional high-order three-point boundary value problem

In this paper, the authors consider the following fractional high-order three-point boundary value problem:the standard Riemann-Liouville derivative of order α, and ) is continuous.By using some fixed point index theorems on a cone for differentiable operators, the authors obtain the existence of positive solutions to the above boundary value problem.MSC: 34A08; 34B15