Basing on the fractional calculus, the fractional Langevin Equation is introduced to describe the cooperation transport processes of Brownian motors with the OU colored noise in the flashing ratchet potential. The system memory can be characterized by the fractional order and the correlation time of the colored noise. Directional transport properties under various parameters are analyzed through the numerical solution. Numerical results demonstrate that the influence of the fractional order on the transport properties is more significant than the colored noise. The fractional order does not only affect the velocity of the particles, but also reverses the direction of the flow. The variation of the fractional order makes the particles’ mean speed oscillate and causes generalized stochastic resonance as well. Furthermore, the correlation time of colored noise affects the speed of the flow.
