Multiple Positive Solutions for a coupled system of Sturm-Liouville Fractional Order Two-point Boundary Value Probles

Abstract

In this paper, we establish the existence of at least three positive solutions for a coupled system of Sturm-Liouville fractional order two-point boundary value problems, by using Avery generalization of the Leggett Williams fixed point theorem. And then, we establish the existence of at least 2k−1 positive solutions to the fractional order boundary value problems for an arbitrary positive integer k.