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By using a generalized Riccati transformation technique and an inequality, we establish some oscillation theorems for the fractional differential equation [atpt+qtD-αxt)γ′ − b(t)f∫t∞‍(s-t)-αx(s)ds = 0, for t⩾t0>0, where D-αx is the Liouville right-sided fractional derivative of order α∈(0,1) of x and γ is a quotient of odd positive integers. The results in this paper extend and improve the results given in the literatures (Chen, 2012)

Oscillation Behavior for a Class of Differential Equation with Fractional-Order Derivatives