Oscillatory Behavior of Three Dimensional α-Fractional Delay Differential Systems

In the present work we study the oscillatory behavior of three dimensional ?-fractional nonlinear delay differential system. We establish some sufficient conditions that will ensure all solutions are either oscillatory or converges to zero, by using the inequality technique and generalized Riccati transformation. The newly derived criterion are also used to establish a new class of systems with delay which are not covered in the existing study of literature. Further, we constructed some suitable illustrations.