Feedback Synchronization of Fractional-Order Chaotic System and its Utilization in the Realm of Cryptography

In this paper, we discuss the conditions suitable for stability and chaotical behaviors of a new fractional orders of a dynamical system thorough analysis both analytically and numerically. This will state the synchronization of the fractional order chaotic system is attained via an efficient feedback controller design and implementation. Furthermore, cryptography then uses the synchronized fractional order systems, which results in a strong and safe key system development. Numerical simulations verify the accuracy of our suggested synchronized fractional order chaotic systems and the related key system. By highlighting their possible uses in secure communication via digital cryptography, the results of this work help to clarify the dynamics of fractional order systems.