Abstract: Memcapacitor is a nonlinear capacitor with memory function. In recent years, researchers have proposed a number of integer-order memcapacitor model, and analyzed the response characteristics of integer-order memcapacitor model under different types of excitation, but the research of fractional-order memcapacitor is less. In the paper, based on the analysis of the existing integer-order memcapacitor model, a fractional-order voltage controlled memcapacitor model is proposed, and the responses of the fractional-order memcapacitor model with nonlinear window function excited by sinusoidal signal is analyzed. The experimental results show that the model can simulate the characteristics of memcapacitor correctly. The influences of fractional order and control parameters of the window function on the electrical characteristics of the fractional-order memcapacitor have also been analyzed and summarized. These results have a certain reference value for some applications of memcapacitor in various fields.