Analysis of the Drude model in view of the conformable derivative

Abstract In this paper, we use the fractional conformable derivative to analyze the classical Drude model with direct DC and alternating current AC. We apply the conformable Laplace transform to solve the corresponding equations and found that the electron current density in the DC case has a stretched exponential behavior, while in the AC case shows an exponential-like down-chirp response. It is shown that the conformable fractional Laplace transform is a powerful method to solve fractional linear differential equations with constant coefficients. The solutions of the corresponding classical model are recovered as particular cases, when γ  = 1.