Transport of coupled particles in fractional feedback ratchet driven by Bounded noise

In this paper, the transport of coupled particles in fractional feedback potential driven by two bounded noises is investigated. The mean velocity of coupled particles is calculated versus the fractional order, barrier height, noise intensity, coupling intensity and static length. The results suggest that compared with the integer order feedback potential, the fractional order situation can affect the switching frequency of the feedback potential, and thereby regulate the transport speed of coupled particles. Therefore, a new quantity Cf is specially introduced to quantify the feedback switch frequency. In addition, the superposition of bounded noises on the coupled particles will lead to the increase of mean velocity. It is worth noting that for a definite noise intensity, an optimal fractional order can be found to bring the particles reach the maximum velocity. Once the fractional order is greater than the optimal value, the mean velocity will drop sharply to near zero. Furthermore, our results also show that the optimal static length can increase the transport velocity when the coupling coefficient is properly selected. This can provide theoretical basis for the treatment of diseases caused by neurotransmitter transport disorder. •Fractional order system driven by bounded noises is investigated.•Transport induced by bounded noises in the system is observed.•As fractional order increases, the frequency of feedback switch becomes low.•Transport undergoes periodic suppression-enhancement transition for static length of coupled particles.