Shiva Eshaghi - Department of Applied Mathematics, Faculty of Mathematical Sciences,Shahrekord University, P.O. Box ۱۱۵, Shahrekord, Iran

In this article, the linear feedback control technique is used to control and stabilize a new chaotic fractional-order system to equilibrium point. Next, we obtain the controlparameters by Routh-Hurwitz conditions for fractional-order differential equations. We then design control laws to synchronize two identical chaotic fractional-order systems.Furthermore, we reveal complex behaviors of the system numerically. We further emphasize that the order of fractional derivative plays significant roles as the chaos controlling parameter.

Caputo fractional derivative; synchronization;control; chaotic behavior