What is a fractional-order circuit?
Fractional-Order Circuit is applied Fractional-Calculus to Circuit Analysis


Commonly used for modeling bio-electrodes for cardiac tissue interfacing.
Offer more robustness than integer order control in PID controllers, using Fractional Integrators and Differetinators.


Not much knowledge in this field but heard something about Resistoductance, which is one component that incorporates fractional-order dynamics. It's a "linear electrical circuit element that posses the characteristics between an ohmic resistor and an inductor"



Fractional Integrator and Differentiator Equations: