On the solution set for a class of sequential fractional differential equations

We establish here that under some simple restrictions on the functional coefficient a(t) the solution set of the fractional differential equation (0Dαtx)' + a(t)x = 0 splits between eventually small and eventually large solutions as t → +∞, where 0Dαt designates the Riemann–Liouville derivative of the order α (0, 1).