Anomalous relaxation in dielectrics. Equations with fractional derivatives

Abstract

It has been shown that anomalous relaxation in dielectrics can be described in terms of equations with fractional derivatives. The solutions of the resulting equation with fractional derivatives are expressed by the Mittag –Leffler function and the Fox function. The conditions of a change from the Debye relaxation to “slow” (anomalous) relaxation with a power time dependence have been examined in the limits t → 0 and t → ∞.

Cite this paper

@inproceedings{Novikov2006AnomalousRI, title={Anomalous relaxation in dielectrics. Equations with fractional derivatives}, author={Viktor V Novikov and K. W. Wojciechowski and O. A. KOMKOVA and Tamiko Thiel}, year={2006} }