On the Solution Set for a Class of Sequential Fractional Differential Equations

Abstract

We establish here that under some simple restrictions on the functional coefficient a(t) the solution set of the fractional differential equation ((0)D(t)(alpha)x)' + a(t) x = 0 splits between eventually small and eventually large solutions as t -> +infinity, where D-0(t)alpha designates the Riemann-Liouville derivative of the order alpha is an element of (0, 1).