EXISTENCE OF POSITIVE SOLUTIONS FOR A COUPLED SYSTEM OF HIGHER ORDER FRACTIONAL BOUNDARY VALUE PROBLEMS

Abstract

The aim of this paper is to establish the existence of at least one positive solution for a coupled system of higher order two-point fractional order boundary value problems under suitable conditions. The approach is based on the Guo-Krasnosel'skii fixed point theorem.

Keywords

• fractional derivative,coupled system,Green's function,boundary value problem,positive solution.

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