Dynamics of a Fractional Derivative Type of a Viscoelastic Rod With Random Excitation-Reference-Cited by-同舟云学术

Dynamics of a Fractional Derivative Type of a Viscoelastic Rod With Random Excitation

Published:2015-10-01 Issue:5 Volume:18 Page:1232-1251
ISSN:1314-2224
Container-title:Fractional Calculus and Applied Analysis
language:en
Short-container-title:

Author:

Atanacković Teodor¹,Nedeljkov Marko²,Pilipović Stevan²,Rajter-Ćiri Danijela²

Affiliation:

1. Institute of Mechanics, University of Novi Sad Trg D. Obradovica Str., 6 Novi Sad - 21000, SERBIA

2. Dept. Mathematics and Informatics, University of Novi Sad Trg D. Obradovica Str., 5 Novi Sad - 21000, SERBIA

Abstract

Abstract The axial vibrations of a viscoelastic rod with a body attached to its end are investigated. The problem is modelled by the constitutive equations with fractional derivatives as well as with the perturbations involving a bounded noise and a white noise process. The weak solutions for the equations given below in two cases of constitutive equations as well as their stochastic moments are determined.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Analysis

Link

https://www.degruyter.com/document/doi/10.1515/fca-2015-0071/pdf

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