On the Oscillation of a Class of Damped Fractional Differential Equations

Abstract

Using Riccati type transformations, the authors establish some new oscillation criteria for the fractional differential equation (D-0+(1+alpha) y) (t) + p(t) (D-0+(alpha) y) (t) + q(t) f(G(t)) = 0, t > 0, where D-0+(alpha) is the Riemann-Liouville fractional derivative of order alpha of y, G(t) = integral(t)(0) (t - s)(-alpha) y(s)ds, and alpha is an element of(0, 1). Examples are provided to illustrate the relevance of the results.