Document Type : Research Paper

**Author**

Department of Mathematics, Faculty of Basic Sciences, Azarbaijan Shahid Madani University, Tabriz, Iran.

**Abstract**

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 fixed point theorem on solid cone, the result for the uniqueness of a positive solution to the problem is obtained. Two examples are given to confirm our results.

**Keywords**

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October 2021

Pages 1001-1012

**Receive Date:**03 March 2020**Revise Date:**23 June 2020**Accept Date:**24 June 2020