Oscillation Tests for Conformable Fractional Differential Equations with Damping

Abstract

This article concerns existence of oscillatory solutions of the conformable fractional equations with damping of the form ³ ` ³ y (α) ´γ´(β) (s) + g ¡ s, xγ µ (s) ¢ = 0, for all s ∈ J0, where y (α) denotes conformable fractional, y (s) = x (s) + h (s) xξ (x), xµ = x ◦ µ, xξ = x ◦ ξ, γ := 2k + 1 2m + 1 , with k, m ∈ N, J0 = [0, ∞) and α, β ∈ (0, 1].