摘要：This paper studies the linear fractional-order delay differential equation * $$ {}^{C}D^{\alpha }_{-}x(t)-px(t-\tau )= 0, $$ where $0 0$ , ${}^{C}D_{-}^{\alpha }x(t)=-\Gamma ^{-1}(1-\alpha )\int _{t}^{\infty }(s-t)^{- \alpha }x'(s)\,ds$ . We obtain the conclusion that $$ p^{1/\alpha } \tau >\alpha /e $$ is a sufficient and necessary condition of the oscillations for all solutions of Eq. (*). At the same time, some sufficient conditions are obtained for the oscillations of multiple delays linear fractional differential equation. Several examples are given to illustrate our theorems.
