Time-Domain Analysis of Fractional Electrical Circuit Containing Two Ladder Elements

The paper is devoted to the theoretical and experimental analysis of an electric circuit consisting two elements that are described by fractional derivatives different orders. These designed performed as RC ladders with properly selected values resistances capacitances. Different orders differentiation lead state-space system model, in which each state variable has a order derivative. Solutions for such models presented three cases derivative operators: Classical (first-order differentiation), Caputo definition, Conformable Fractional Derivative (CFD). Using models, step responses electrical were computed compared measurements real system.