Storage and Dissipation of Energy in Prabhakar Viscoelasticity

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