Marvin Hoti - Department of Mathematics, Ryerson University, Toronto, Canada.

In this manuscript, a center manifold reduction of the flow of a non-hyperbolic equilibrium point on a planar dynamical system with the Caputo derivative is proposed. The stability of the non-hyperbolic equilibrium point is shown to be locally asymptotically stable, under suitable conditions, by using the fractional Lyapunov direct method.

Caputo derivative, Stability, Center manifold