A one parameter class of Fractional Maxwell-like models

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.

8 pages, 4 figures

References in corpus (3)

• A dynamic viscoelastic analogy for fluid-filled elastic tubes
• A class of linear viscoelastic models based on Bessel functions
• On infinite series concerning zeros of Bessel functions of the first kind

Cited by in corpus (4)

• On infinite order differential operators in fractional viscoelasticity
• On the propagation of transient waves in a viscoelastic Bessel medium
• On transient waves in linear viscoelasticity
• On mathematical characterization of a Bessel functions-based passive element in electronic circuits