A Note on the Fractional-Order Cellular Neural Networks

This paper deals on fractional-order cellular neural networks (CNNs). It is based on the well-known concept of the CNNs, where mathematical model of the CNN consists a fractional order derivative. Traditional first order cell is replaced by fractional order (non-integer) one. We present the method to derive such kind of the fractional order cell. An illustrative example has been used to demonstrate and investigate the existence of the fractional order CNN. We present the fractional three-cell CNN where the total order of system is less than three, namely 2.7, and the corresponding state space trajectories are shown as well.