It has been shown that the recent increased interest in the study of fractional, i.e. non-integer order, dynamical electric circuits (Kaczorek in Selected problems of fractional systems theory. Springer, Berlin, Heidelberg, 2011; Ostalczyk et al. in Non-integer order calculus and its applications. Springer, Cham, 2019; Petras in Fractional-order nonlinear systems modeling, analysis and simulation. Springer, New York, 2011; Trzaska in Fractional order model of Wien Bridge oscillators containing CPEs. In: Proceedings of MATHMOD’09 conference, Vienna, pp. 357–361, 2009 [4, 10, 11, 19]) is driven by the authoritative finding that most processes associated with complex systems exhibit non-local dynamics involving long-term memory. The general properties of the fractional-order derivative focus major interest in fractional order circuits and their effective applications.