A one parameter class of Fractional Maxwell-like models

TL;DR

This paper introduces a one-parameter modification of the fractional Maxwell model, which effectively captures the short-time behavior of a broader class of Bessel viscoelastic models, enhancing understanding of viscoelastic dynamics.

Contribution

It proposes a novel one-parameter fractional Maxwell-like model that describes the short-time asymptotics of Bessel viscoelastic models, expanding the modeling toolkit.

Findings

The modified model accurately describes short-time viscoelastic behavior.

It provides a simplified yet effective approach to complex Bessel models.

The model bridges fractional calculus and classical viscoelastic theory.

Abstract

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.