Models based on Mittag-Leffler functions for anomalous relaxation in dielectrics

@article{Oliveira2011ModelsBO,
title={Models based on Mittag-Leffler functions for anomalous relaxation in dielectrics},
author={E. C. de Oliveira and F. Mainardi and J. Vaz},
journal={The European Physical Journal Special Topics},
year={2011},
volume={193},
pages={161-171}
}

Abstract.We revisit the Mittag-Leffler functions of a real variable t, with one, two and three order-parameters {α,β,γ}, as far as their Laplace transform pairs and complete monotonicity properties are concerned. These functions, subjected to the requirement to be completely monotone for t > 0, are shown to be suitable models for non–Debye relaxation phenomena in dielectrics including as particular cases the classical models referred to as Cole–Cole, Davidson–Cole and Havriliak–Negami. We show… Expand