Synchronization of different fractional order chaotic systems with time-varying parameter and orders

In this paper, synchronization of time-varying fractional order chaotic systems, is introduced. Parameters of system play an important role in chaotic systems. A time-varying parameter is selected for chaotic systems, also orders of systems are considered as time-varying orders. A reliable controller is designed to synchronize two different fractional order chaotic systems based on Lyapunov stability theory on fractional order systems. Numerical simulations and practical implementation of proposed method are presented to verify the results.