Fractional-Order Capacitor Realization Based upon Active Inductor

Fractional-Order elements (FOEs) are the basic building blocks of Fractional-Order (FO) systems. A new active inductor-based realization to approximate the behaviour of FO capacitor (FOC) is proposed in this work. Proposed structure enables higher order approximation of FOC either by parallel connection or by impedance multiplication. The behaviour of the proposed FOC has been verified through SPICE with $$0.18\, \upmu $$ m CMOS technology model parameters. Further, application of the proposed FOC to realize a fractional-order oscillator (FOO) is also shown to verify the functionality of the proposed FOC.