On the Weak Solvability of a Fractional Viscoelasticity Model

被引：3

作者：

Zvyagin, V. G. ^{[1
]}

Orlov, V. P. ^{[1
]}

机构：

[1] Voronezh State Univ, Voronezh 394006, Russia

来源：

DOKLADY MATHEMATICS | 2018年 / 98卷 / 03期

关键词：

D O I：

10.1134/S1064562418070104

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The existence of a weak solution of a boundary value problem for a fractional viscoelasticity model that is a fractional analogue of the anti-Zener model with memory along trajectories of motion is proved. The rheological equation of the given model involves fractional-order derivatives. The proof relies on an approximation of the original problem by a sequence of regularized ones and on the theory of regular Lagrangian flows.

引用

页码：568 / 570

页数：3