Oscillation for a class of fractional differential equation (Q2312220)

Summary: We consider the oscillation for a class of fractional differential equation \([r(t) g \left((D_-^\alpha y)(t)\right)]'- p(t) f \left(\int_t^{\infty} (s - t)^{- \alpha} y(s) d s\right) = 0\), for \(t > 0\), where \(0 < \alpha < 1\) is a real number and \(D_-^\alpha y\) is the Liouville right-sided fractional derivative of order \(\alpha\) of \(y\). By generalized Riccati transformation technique, oscillation criteria for a class of nonlinear fractional differential equation are obtained.