Oscillation theorems for three classes of conformable fractional differential equations

Abstract

In this paper, we consider the oscillation theory for fractional differential equations. We obtain oscillation criteria for three classes of fractional differential equations of the forms T t 0 α x(t) + m i=1 p i (t)x(τ i (t)) = 0, t ≥ t 0 , T t 0 α (r(t)(T t 0 α (x(t) + p(t)x(τ (t)))) β) + q(t)x β (σ (t)) = 0, t ≥ t 0 , and T t 0 α (r 2 T t 0 α (r 1 (T t 0 α y) β))(t) + p(t)(T t 0 α y(t)) β + q(t)f (y(g(t))) = 0, t ≥ t 0 , where T α denotes the conformable differential operator of order α, 0 < α ≤ 1.