On the existence and uniqueness of positive solutions for a p-Laplacian fractional boundary value problem with an integral boundary con- dition with a parameter

The aim of this work is to prove the existence and uniqueness of the positive solutions for a fractional boundary value problem by a parameterized integral boundary condition with p-Laplacian operator. By using iteration sequence, the existence of two solutions is proved. Also by applying a xed point theorem on solid cone, the result for the uniqueness of a positive solution to the problem is obtained. Two examples are given to conrm our results.