Oscillation criteria of fractional differential equations

Abstract

In this article, we are concerned with the oscillation of the fractional differential equation where is the Liouville right-sided fractional derivative of order α ∈ (0,1) of y and η > 0 is a quotient of odd positive integers. We establish some oscillation criteria for the equation by using a generalized Riccati transformation technique and an inequality. Examples are shown to illustrate our main results. To the best of author's knowledge, nothing is known regarding the oscillatory behavior of the equation, so this article initiates the study. MSC (2010): 34A08; 34C10.