Positive Solutions for a System of Riemann-Liouville Fractional Differential Equations with Multi-Point Fractional Boundary Conditions

Abstract

We study the system of nonlinear ordinary fractional differential equations with the multi-point boundary conditions which contain fractional derivatives. Under some assumptions on the functions f, g and h, we give intervals for the parameters λ, µ and ν such that positive solutions of (S) − (BC) exist (see [1]). The nonexistence of positive solutions for the above problem is also investigated. In the proof of our existence results we use the Guo-Krasnosel’skii fixed point theorem.