Abstract
In this paper, we present sufficient conditions for the existence of nonoscillatory solutions of the following fractional neutral functional differential equation
D-t(alpha)[x(t) - cx(t - T)] + Sigma(m)(i = 1) P-i(t)x(t - sigma(i)) = 0, t >= t(0),
where D-t(alpha) is Liouville fractional derivatives of order alpha is an element of [1, +infinity) on the half-axis, c, T, sigma(i) is an element of (0, +infinity), P-i is an element of C([t(0), +infinity), R), m >= 1 is an integer. (C) 2017 Elsevier Ltd. All rights reserved.