Theoretical and practical applications of fuzzy fractional integral sliding mode control for fractional-order dynamical system

This paper proposes a fuzzy fractional integral sliding mode control for synchronizing fractional-order dynamical systems with mismatched fractional orders. It is applied to synchronize the fractional-order modified coupled dynamos chaotic systems. Synchronization between two identical fractional order, different fractional orders, integer order and fractional-order modified coupled dynamos chaotic systems have been demonstrated. For practical applications, these derived synchronized fractional-order chaotic systems are utilized to develop a novel cryptosystem for an image encryption and decryption. Numerical simulations are provided to verify the significance of theoretical analysis.