Optimal Design for Realizing a Grounded Fractional Order Inductor Using GIC

Nonlinear Fractional-Order Circuits and Systems: Motivation, A Brief Overview, and Some Future Directions

“…Solid-state fractional capacitors fabricated by nanocomposite materials [11] [12], solid-state fractional capacitors constructed by ferroelectric polymers and reduced graphene structures [13], fractional capacitors constructed by electrolyte processes [14], fractional capacitors developed by using resistive-dielectric-conductive structures [15], and fractional capacitors fabricated by using copper silicon electrodes and porous film [16] [17], or by using platinized silicon electrodes and porous film [18] are some experimentally implemented types of this fractionalorder element. In addition, some effective methods have been also proposed for the emulation of fractional-order capacitors and inductors (e.g., emulation of these elements on the basis of using RC/RL networks [19] [20], MOS transistors [21], generalized immittance converters [22], operational transconductance amplifiers [23] [24], and power converters [25]).…”

Synthesis of elements with fractional-order impedance based on homogenous distributed resistive-capacitive structures and genetic algorithm

“…However, availability of fractional-order capacitor allows obtaining fractional-order inductor by impedance transformation using an active circuit, such as generalized impedance converter (GIC) or gyrator, see e.g. [26] .…”

Practical Design of Fractional-Order Oscillator Employing Simple Resonator and Negative Resistor

“…The resonator (in the meaning of parallel LC network) represents the important part of the oscillator design [1]. Several fractional-order resonators has been introduced quite recently, [11] for instance based on opamps in Antoniou impedance inverter [11], [12] (many floating passive elements, complicated electronic controllability) and employs combination of fractional-and integer-order capacitors. However, implementation of such resonator in the oscillator design is not necessary as shown in our contribution.…”