In this work, we introduce a new three-dimensional chaotic differential
dynamical system. We find equilibrium points of this system and provide
the stability conditions for various fractional orders. Numerical
simulations will be used to investigate the chaos in the proposed
system. A simple linear control will be used to control the chaotic
oscillations. Further, we propose an optimal control which is based on
the fractional order of the system and use it to synchronize the new
chaotic system.