Abstract: In this paper, the hybrid projective synchronization of different dimensional fractional order chaotic systems with time delay and different orders is discussed. Based on the basic properties of fractional calculus, two different order fractional-order chaotic systems are transformed into the same order ones. Then, by using the stability theory of fractional order linear systems and constructing a nonlinear controller for the obtained systems with same order, a general scheme for synchronization of the considered systems is proposed. Some numerical simulations demonstrate the effectiveness of the proposed method.

Key words: hybrid projective synchronization, different dimensional, time delay, different order