On the Oscillation of Three Dimensional Katugampola Fractional Delay Differential Systems

In this study, we consider the three dimensional $alpha$-fractional nonlinear delay differential system of the form begin{eqnarray*} D^{alpha}left(u(t)right)&=&p(t)gleft(v(sigma(t))right), D^{alpha}left(v(t)right)&=&-q(t)hleft(w(t))right), D^{alpha}left(w(t)right)&=& r(t)fleft(u(tau(t))right),~ t geq t_0, end{eqnarray*} where $0 < alpha leq 1$, $D^{alpha}$ denotes the Katugampola fractional derivative of order $alpha$. We have established some new oscillation criteria of solutions of differential system by using generalized Riccati transformation and inequality technique. The obtained results are illustrated with suitable examples.