Storage and Dissipation of Energy in Prabhakar Viscoelasticity

Ivano Colombaro, Andrea Giusti and Silvia Vitali
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Ivano Colombaro: Department of Information and Communication Technologies, Universitat Pompeu Fabra, C/Roc Boronat 138, 08018 Barcelona, Spain
Andrea Giusti: Department of Physics & Astronomy, University of Bologna, Via Irnerio 46, 40126 Bologna, Italy
Silvia Vitali: Department of Physics & Astronomy, University of Bologna, Via Irnerio 46, 40126 Bologna, Italy

Mathematics, 2018, vol. 6, issue 2, 1-9

Abstract: In this paper, after a brief review of the physical notion of quality factor in viscoelasticity, we present a complete discussion of the attenuation processes emerging in the Maxwell–Prabhakar model, recently developed by Giusti and Colombaro. Then, taking profit of some illuminating plots, we discuss some potential connections between the presented model and the modern mathematical modelling of seismic processes.

Keywords: Prabhakar viscoelasticity; Q-factor; fractional calculus; Mittag-Leffler functions; Prabhakar function; Integral transforms (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2018
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