The Existence Of A Positive Solution For A Singular Cyclic System Of Fractional Differential Equations

In this paper we proof the existence of a positive solution to a cyclic system of fractional differential equations. where a∈(0,+∞), n∈N+,0<si<1, Dsi are standard Riemann-Liouville fractional derivatives, fi:(0,a]×[0,+∞)â†'[0,+∞) are given continuous func-tions, and (?)fi(t,·)=+∞(i=1,2,…,n). The analysis rely on a nonlinear alternative of Leray-Schauder type and Krasnoselskii’s fixed point theorem in cones.Chapter1. the existence of a positive solution for a singular coupled system of fractional differential equations.Chapter2. the existence of a positive solution for a singular cyclic system of fractional differential equations.