In this article, we consider the three dimensional $\alpha$-fractional nonlinear differential system of the form $$ D^{\alpha}\left(x(t)\right)=a(t)f\left(y(t)\right), $$ $$ D^{\alpha}\left(y(t)\right)=-b(t)g\left(z(t)\right), $$ $$ D^{\alpha}\left(z(t)\right)=c(t)h\left(x(t)\right),\quad t \geq t_0, $$ where $0 \< \alpha \leq 1$, $D^{\alpha}$ denotes the Katugampola fractional derivative of order $\alpha$. We establish some new sufficient conditions for the oscillation of the solutions of the differential system, using the generalized Riccati transformation and inequality technique. Examples illustrating the results are also given.

}, keywords = {34A08, 34A34, 34K11}, issn = {1056-2176}, doi = {10.12732/dsa.v27i4.12}, url = {https://acadsol.eu/dsa/articles/27/4/12.pdf}, author = {G.E. CHATZARAKIS and M. DEEPA and N. NAGAJOTHI and V. SADHASIVAM} }