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

Ahmadkhanlu, Asghar

doi:10.22034/cmde.2020.38643.1699

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

Document Type : Research Paper

Author

Asghar Ahmadkhanlu

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

10.22034/cmde.2020.38643.1699

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

20.1001.1.23453982.2021.9.4.5.7

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