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math-ph2025
On linear waves with memory in a Bessel-like medium
A. Giusti, I. Colombaro, A. Mentrelli
We discuss the propagation of harmonic and transient waves for systems governed by a wave equation with memory whose integral kernel involves ratios of modified Bessel functions of…
math-ph2024
Energy of a non-linear viscoelastic model compatible with fractional relaxation
Andrea Giusti, Andrea Mentrelli, Tommaso Ruggeri
Recently, a non-linear model of viscoelasticity based on Rational Extended Thermodynamics was proposed in [arXiv:2312.05116]. This theory extends the evolution of the viscous stres…
math-ph2023
On variable-order fractional linear viscoelasticity
A. Giusti, I. Colombaro, R. Garra +2
We discuss a generalisation of fractional linear viscoelasticity based on Scarpi's approach to variable-order fractional calculus. After reviewing the general mathematical framewor…