On a class of equations arising in linear viscoelasticity theory

被引：8

作者：

Atanackovic, T ^{[1
]}

Pilipovic, S

机构：

[1] Univ Novi Sad, Fac Tech Sci, Inst Mech, Novi Sad 21000, Serbia Monteneg

[2] Univ Novi Sad, Inst Math, Novi Sad 21000, Serbia Monteneg

来源：

ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK | 2005年 / 85卷 / 10期

关键词：

distributed order equations; viscoelasticity;

D O I：

10.1002/zamm.200310209

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the existence and uniqueness of solution for a class of equations of the form Sigma(i=0)(m) aiy((i))(t) + integral(a)(b)Phi(alpha)y((alpha))(t)d alpha = h(t), where y((alpha))(t) is the Riemann Liouville fractional derivative, in the space of tempered distributions. Such equations arise in the distributed derivatives models of linear viscoelasticity.

引用

页码：748 / 754

页数：7

共 17 条

[1]

[Anonymous], 1988, TAUBERIAN THEOREMS G

[2] On a distributed derivative model of a viscoelastic body [J].