On infinite order differential operators in fractional viscoelasticity-Reference-Cited by-同舟云学术

On infinite order differential operators in fractional viscoelasticity

Published:2017-08-01 Issue:4 Volume:20 Page:854-867
ISSN:1311-0454
Container-title:Fractional Calculus and Applied Analysis
language:en
Short-container-title:

Author:

Giusti Andrea¹²

Affiliation:

1. Department of Physics & Astronomy University of Bologna and INFN Via Irnerio 46 , 40126 Bologna , Italy

2. Arnold Sommerfeld Center for Theoretical Physics Ludwig-Maximilians-Universität Theresienstraße 37, 80333 München , Germany

Abstract

Abstract In this paper we discuss some general properties of viscoelastic models defined in terms of constitutive equations involving infinitely many derivatives (of integer and fractional order). In particular, we consider as a working example the recently developed Bessel models of linear viscoelasticity that, for short times, behave like fractional Maxwell bodies of order 1/2.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Analysis

Link

https://www.degruyter.com/document/doi/10.1515/fca-2017-0045/pdf

Reference28 articles.

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