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

Document Type : Research Paper


Department of Mathematics, Payame Noor University, Tehran, Iran


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.


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Volume 14, Issue 4
April 2023
Pages 125-138
  • Receive Date: 14 June 2022
  • Accept Date: 06 September 2022