On the Oscillation of Three Dimensional Katugampola Fractional Delay Differential Systems
In this study, we consider the three dimensional $α$-fractional nonlinear delay differential system of the form \begin{eqnarray*} D^α\left(u(t)\right)&=&p(t)g\left(v(σ(t))\right),\\ D^α\left(v(t)\right)&=&-q(t)h\left(w(t))\right),\\ D^α\left(w(t)\right)&=& r(t)f\left(u(τ(t))\right),~ t \geq t_0, \end{eqnarray*} where $0 < α\leq 1$, $D^α$ denotes the Katugampola fractional derivative of order $α$. 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.
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