مشخصات پژوهش

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, ‎existence of two solutions is proved. ‎Also by applying a fixed point theorem on solid cone, ‎the result for the uniqueness of positive solution to the problem is obtained. ‎Two examples are given to confirm our results.