Linear Electrical Circuits Described by a Novel Constant Proportional Caputo Hybrid Operator

In this work, we obtain analytical solutions via Laplace transform of fractional electrical circuits by using the proportional Caputo derivative with power law. Numerical simulations were obtained to see the impact of the memory concept represented by the fractional parameter order. Also, we collect a lot of experimental data obtained in our laboratory for an circuit, and for each case, we calculate the value of the fractional‐order by using a particle swarm optimization approach. The results obtained reveals that the experimental data deviate slightly from that obtained in the integer‐order behavior and the application of the proportional Caputo derivative best fits the experimental data.