Oscillation for a Class of Right Fractional Differential Equations on the Right Half Line with Damping

Abstract EN

In this paper, we discuss a class of fractional differential equations of the form D-α+1y(t)·D-αy(t)-p(t)f(D-αy(t))+q(t)h∫t∞(s-t)-αy(s)ds=0.D-αy(t) is the Liouville right-sided fractional derivative of order α∈(0,1).

We obtain some oscillation criteria for the equation by employing a generalized Riccati transformation technique.

Some examples are given to illustrate the significance of our results.