Fractional models of anomalous relaxation based on the Kilbas and Saigo function

@article{Oliveira2014FractionalMO,
title={Fractional models of anomalous relaxation based on the Kilbas and Saigo function},
author={E. C. Oliveira and F. Mainardi and J. Vaz},
journal={Meccanica},
year={2014},
volume={49},
pages={2049-2060}
}

We revisit the Kilbas and Saigo functions of the Mittag-Leffler type of a real variable $$t$$t, with two independent real order-parameters. These functions, subjected to the requirement to be completely monotone for $$t>0$$t>0, can provide suitable models for the responses and for the corresponding spectral distributions in anomalous (non–Debye) relaxation processes, found e.g. in dielectrics. Our analysis includes as particular cases the classical models referred to as Cole–Cole (the one… Expand