In this paper we propose the generalization of the Grunwald–Letnikov scheme to fractional differential operators of Havriliak–Negami type; these operators have important applications in the description and simulation of polarization processes in anomalous dielectrics with hereditary properties. We discuss in details the technique used for generalizing the proposed scheme, we provide a recursive relationship for the evaluation of the corresponding weights and we study some of their main properties.
A Grunwald–Letnikov scheme for fractional operators of Havriliak–Negami type
GARRAPPA, Roberto
2014-01-01
Abstract
In this paper we propose the generalization of the Grunwald–Letnikov scheme to fractional differential operators of Havriliak–Negami type; these operators have important applications in the description and simulation of polarization processes in anomalous dielectrics with hereditary properties. We discuss in details the technique used for generalizing the proposed scheme, we provide a recursive relationship for the evaluation of the corresponding weights and we study some of their main properties.File in questo prodotto:
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