Publication detail

Fractional Generalization of the Classical Viscoelasticity Models

KISELA, T.

Czech title

Zobecnění klasických viskoelastických modelů pomocí zlomkového kalkulu

English title

Fractional Generalization of the Classical Viscoelasticity Models

Type

journal article - other

Language

en

Original abstract

In this article we consider an application of the fractional calculus in the theory of viscoelasticity. First we give a brief survey of the important formulas of the fractional calculus and we mention an introduction into the classical viscoelasticity. Then we sketch main ideas of fractional viscoelasticity and finally we focus on a fractional model and derive its step response functions.

Czech abstract

V tomto článku se zabýváme aplikací zlomkového kalkulu v teorii viskoelasticity. Nejdříve podáme krátký přehled vztahů důležitých ve zlomkovém kalkulu a připomeneme základy teorie klasické viskoelasticity. Následně nastíníme hlavní myšlenky zlomkové viskoelasticity. Nakonec se zaměříme na jeden zlomkový model a odvodíme jeho skokové odezvové funkce.

English abstract

In this article we consider an application of the fractional calculus in the theory of viscoelasticity. First we give a brief survey of the important formulas of the fractional calculus and we mention an introduction into the classical viscoelasticity. Then we sketch main ideas of fractional viscoelasticity and finally we focus on a fractional model and derive its step response functions.

Keywords in Czech

zlomkový kalkulus, viskoelasticita, Mittag-Lefflerovy funkce

Keywords in English

fractional calculus, viscoelasticity, Mittag-Leffler functions

RIV year

2009

Released

03.02.2009

Publisher

Slovak University of Technology in Bratislava

Location

Bratislava

ISSN

1337-6365

Journal

Journal of Applied Mathematics

Volume

2

Number

2

Pages from–to

209–217

Pages count

9

BIBTEX


@article{BUT47776,
  author="Tomáš {Kisela},
  title="Fractional Generalization of the Classical Viscoelasticity Models",
  journal="Journal of Applied Mathematics",
  year="2009",
  volume="2",
  number="2",
  month="February",
  pages="209--217",
  publisher="Slovak University of Technology in Bratislava",
  address="Bratislava",
  issn="1337-6365"
}