Fractional Derivative Modification of Drude Model

A novel, two-parameter modification of a Drude model, based on fractional time derivatives, is presented. The dielectric susceptibility calculated analytically and simulated numerically, showing good agreement between theoretical description numerical results. absorption coefficient wave vector are shown to follow power law in the frequency domain, which common phenomenon electromagnetic acoustic propagation complex media such as biological tissues. main novelty proposal introduction two separate parameters that provide more flexible model than most other approaches found literature. Moreover, an efficient implementation presented its accuracy stability examined. Finally, applied exemplary soft tissue, confirming flexibility usefulness context medical biosensors.