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2016

A one parameter class of Fractional Maxwell-like models

Colombaro, Ivano, Giusti, Andrea, Mainardi, Francesco

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In this paper we discuss a one parameter modification of the well known fractional Maxwell model of viscoelasticity.

Such models appear to be particularly interesting because they describe the short time asymptotic limit of a more general class of viscoelastic models known in the literature as Bessel models.

A one parameter class of Fractional Maxwell-like models · Around

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P.W. Buchen, F. Mainardi, Asymptotic expansions for transient viscoelastic waves, Journal de Mécanique
1975
Earlier work this paper cites.
A. Hanyga, Physically acceptable viscoelastic models, in Hutter, K. and Wang, Y. (Editors), Trends in Applications of Mathematics to Mechanics
2005
Earlier work this paper cites.
F.C. Meral, T.J. Royston and R. Magin, Fractional calculus in viscoelasticity: An experimental study, Commun. Nonlinear Sci. Numer. Simulat
2009
Earlier work this paper cites.
F. Mainardi, Fractional Calculus and Waves in Linear Viscoelasticity
2010
Earlier work this paper cites.

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Then

A. Giusti, F. Mainardi, A dynamic viscoelastic analogy for fluid-filled elastic tubes, Mecanica
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Later among the works it cites.
I. Colombaro, A. Giusti, F. Mainardi, A class of linear viscoelastic models based on Bessel functions, Meccanica
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2016
Closest in time.
A. Giusti, F. Mainardi, On infinite series concerning zeros of Bessel functions of the first kind, Eur. Phys. J. Plus
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Closest in time.

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