Synchronization of chaotic system with variable fractional order

This paper introduces the fractional order time-varying chaotic systems with stochastic parameter. Analyzing this system shows that the chaotic behavior of these systems happens for a specified interval on parameter and orders. Synchronization of the introduced systems is proposed in this study. According to Lyapunov stability extension for fractional order systems, synchronization of two systems has been achieved. Two cases for the synchronization are considered, first two identical time-varying systems were selected, and then two different systems were nominated. Simulation results showed the effectiveness of the proposed method.