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Article

Storage and Dissipation of Energy in Prabhakar Viscoelasticity

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Department of Information and Communication Technologies, Universitat Pompeu Fabra, C/Roc Boronat 138, 08018 Barcelona, Spain
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Department of Physics & Astronomy, University of Bologna, Via Irnerio 46, 40126 Bologna, Italy
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I.N.F.N., Sezione di Bologna, via B. Pichat 6/2, I-40127 Bologna, Italy
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Arnold Sommerfeld Center, Ludwig-Maximilians-Universität, Theresienstraße 37, 80333 München, Germany
*
Author to whom correspondence should be addressed.
Mathematics 2018, 6(2), 15; https://doi.org/10.3390/math6020015
Received: 12 December 2017 / Revised: 11 January 2018 / Accepted: 14 January 2018 / Published: 23 January 2018
(This article belongs to the Special Issue Fractional Calculus: Theory and Applications)
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. View Full-Text
Keywords: Prabhakar viscoelasticity; Q-factor; fractional calculus; Mittag-Leffler functions; Prabhakar function; Integral transforms Prabhakar viscoelasticity; Q-factor; fractional calculus; Mittag-Leffler functions; Prabhakar function; Integral transforms
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MDPI and ACS Style

Colombaro, I.; Giusti, A.; Vitali, S. Storage and Dissipation of Energy in Prabhakar Viscoelasticity. Mathematics 2018, 6, 15. https://doi.org/10.3390/math6020015

AMA Style

Colombaro I, Giusti A, Vitali S. Storage and Dissipation of Energy in Prabhakar Viscoelasticity. Mathematics. 2018; 6(2):15. https://doi.org/10.3390/math6020015

Chicago/Turabian Style

Colombaro, Ivano, Andrea Giusti, and Silvia Vitali. 2018. "Storage and Dissipation of Energy in Prabhakar Viscoelasticity" Mathematics 6, no. 2: 15. https://doi.org/10.3390/math6020015

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