Malek Karimian - Department of mathematics, University of Payame Noor, Tehran, Iran
Ramin Abdoli - Technical College, ShAhid Yazdan Panah, Sanandej, Iran

In this paper, the anti-synchronization between two identical and non-identical the fractional-order financial chaotic system (FOFS) with using nonlinear adaptive feedback control technique. Theremore, the Lyapunov stability is proved for the fractional-order financial system. Using the numerical results we analize the effectiveness of the method using adaptive feedback control technique and consider the anti-synchronization error.

Anti-synchronization, fractional order financial system, adaptive feedback control, Lyapunov stability