- - - Department of mathematics, Payame Noor, Tehran, Iran.
- - - Department of mathematics, Payame Noor, Tehran, Iran.
- - - Department of mathematics, Payame Noor, Tehran, Iran.

In this paper, we present a new fractional-order financial system (FOFS) with the new parameters. We study the synchronization for commensurate order of the fractional-order financial system with disturbance observer (FOFSDO) on the new parameters. Also, the sensitivity analysis of the synchronization error was investigated by using the feedback control technique for the FOFSDO. The stability of the used method demonstrates by Lyapunov stability theorem. Numerical simulations are presented to ensure the validity and influence of the target feedback control design in the presence of extrinsic bounded unknown disturbance.

synchronization, Fractional order financial system, Disturbance observer, Control, Lyapunov stability