Positive solutions for fractional four-point boundary value problems

In this paper, a fractional four-point boundary value problem is considered. By means of fixed-point theorems and successive iteration method, some results on the existence, multiplicity and uniqueness of positive solutions are obtained.

► We consider a new type of nonlinear fractional four-point boundary value problem.
► We present the sufficient conditions for the existence and uniqueness of positive solutions.
► We give a computational method for the boundary value problem.