application of a fractional-order financial system with disturbance in encryption and decryption

This paper focuses on the anti-synchronization of two identical and non-identical chaotic fractional-order financial systems with disturbance observe (fofsdo), such that the anti-synchronization is discussed with new parameters and disturbance in the slave system by using the nonlinear active control technique. the stability of the scheme is proved by applying the lyapunov stability method for the error system. the result of anti-synchronization with disturbance is applied in cryptography. numerical examples and simulation analysis indicate the application and validity of the scheme and considered system.