Abstract
In this paper, newly proposed generalized fractional derivative has been used to study the classical Drude model. This model describe the motion of the electrons in a metal in the presence of an external electric field. We present the novel fractional operator and the general conditions for the existence and the uniqueness of the exact solutions for ordinary differential equations. Numerical simulations for several α values allows obtain new behaviors for the optical properties in metals. The applications of this new derivative open new doors for in-depth investigation in complex systems. The solutions of the corresponding classical model are recovered as particular cases, when α = 1.
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