DYNAMICS OF A FRACTIONAL DERIVATIVE TYPE OF A VISCOELASTIC ROD WITH RANDOM EXCITATION

被引：4

作者：

Atanackovic, Teodor ^{[1
]}

Nedeljkov, Marko ^{[2
]}

Pilipovic, Stevan ^{[2
]}

Rajter-Ciric, Danijela ^{[2
]}

机构：

[1] Univ Novi Sad, Inst Mech, Novi Sad 21000, Serbia

[2] Univ Novi Sad, Dept Math & Informat, Novi Sad 21000, Serbia

来源：

FRACTIONAL CALCULUS AND APPLIED ANALYSIS | 2015年 / 18卷 / 05期

关键词：

viscoelasticity; fractional derivative distributed order; random excitation; EQUATIONS; MODEL;

D O I：

10.1515/fca-2015-0071

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：1232 / 1251

页数：20

共 21 条

[1]

[Anonymous], 2011, ABSTR APPL AN

[2]

[Anonymous], 2014, Fractional Calculus with Applications in Mechanics: Wave Propagation, Impact and Variational Principles

[3]

Arendt W, 2011, MG MATH, V96, pIX, DOI 10.1007/978-3-0348-0087-7

[4] Forced oscillations of a body attached to a viscoelastic rod of fractional derivative type [J].