Dissipative and generative fractional electric elements in modeling $${\varvec{RC}}$$ and $${\varvec{RL}}$$ circuits

Two types of constitutive equations consisting instantaneous and power type hereditary contributions are proposed in order to model generalized capacitor (inductor). The first one, that expresses charge (magnetic flux) terms voltage (current) memory, proved describe a dissipative electric element, while the second generative element. These models used transient steady state regime analysis series RC RL circuits subject electromotive force, as well study circuits’ frequency characteristics including their asymptotic behavior.