Storage and Dissipation of Energy in Prabhakar Viscoelasticity

被引：21

作者：

Colombaro, Ivano ^{[1
]}

Giusti, Andrea ^{[2
,3
,4
]}

Vitali, Silvia ^{[2
]}

机构：

[1] Univ Pompeu Fabra, Dept Informat & Commun Technol, C Roc Boronat 138, Barcelona 08018, Spain

[2] Univ Bologna, Dept Phys & Astron, Via Irnerio 46, I-40126 Bologna, Italy

[3] INFN, Sez Bologna, Via B Pichat 6-2, I-40127 Bologna, Italy

[4] Ludwig Maximilians Univ Munchen, Arnold Sommerfeld Ctr, Theresienstr 37, D-80333 Munich, Germany

来源：

MATHEMATICS | 2018年 / 6卷 / 02期

关键词：

Prabhakar viscoelasticity; Q-factor; fractional calculus; Mittag-Leffler functions; Prabhakar function; Integral transforms; WAVE-PROPAGATION; RELAXATION; REPRESENTATION; EQUATIONS;

D O I：

10.3390/math6020015

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页数：9

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