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Licensed Unlicensed Requires Authentication Published by De Gruyter 2019

Fractional relaxation-oscillation phenomena

Rudolf Gorenflo and Francesco Mainardi

Abstract

In this chapter we consider the basic properties of some types of differential equations of fractional order that are related to relaxation and oscillation phenomena, based on functions of the Mittag-Leffler type. We finally generalize with fractional derivatives the Basset problem known in fluid-dynamics, so exploring other fractional relaxation processes of physical relevance.

© 2019 Walter de Gruyter GmbH, Berlin/Munich/Boston
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