*Article* **Dynamical Properties of Fractional-Order Memristor**

#### **Shao Fu Wang 1,2 and Aiqin Ye 1,\***


Received: 12 January 2020; Accepted: 27 February 2020; Published: 9 March 2020

**Abstract:** The properties of a fractional-order memristor is studied, and the influences of parameters are analyzed and compared. The results reflect that the resistance value of a fractional-order memristor can be affected by fraction-order, frequency, the switch resistor ratio, average mobility and so on. In addition, the circuit of a fractional-order memristor that is serially connected and connected in parallel with inductance and capacitance are studied. Then, the current–voltage characteristics of a simple series one-port circuits that are composed of a fractional-order memristor and a capacitor, or composed of a fractional-order memristor and a inductor are studied separately. The results demonstrate that at the periodic excitation, the memristor in the series circuits will have capacitive properties or inductive properties as the fractional order changes, the dynamical properties can be used in a memristive circuit.

**Keywords:** fraction-order memristor; device property; serial and parallel; Dynamical analysis
