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 acoust...

In this paper, we introduce the model of Bromsulphthalein (BSP) test whose components are BSP in blood, BSP in liver and BSP in bile with fractional order. Generalized Euler method (GEM) is performed to solve the problem. We compare fractional results and integer results with clinical data. The results show that the fractional order is closer than clinical data than standard model.

The purpose of this paper is to assess the risk premium a fractional financial lognormal (Black-Scholes or BS) process relative to a non-fractional and complete financial pricing model. While fractional Brownian BS models based on the Duncan and Wicks calculus were shown to define a no arbitrage financial model, this paper claim is that this martingale need not be the pricing martingale. There ...