Well-posedness and stability for a fractional thermo-viscoelastic Timoshenko problem

被引：2

作者：

Tatar, Nasser-eddine ^{[1
]}

机构：

[1] King Fahd Univ Petr & Minerals, Interdisciplinary Res Ctr Intelligent Mfg & Robot, Dept Math & Stat, Dhahran 31261, Saudi Arabia

来源：

COMPUTATIONAL & APPLIED MATHEMATICS | 2021年 / 40卷 / 06期

关键词：

Caputo fractional derivative; Mittag-Leffler stability; Multiplier technique; Thermo-viscoelasticity; Timoshenko system; POROUS-THERMOELASTIC SYSTEM; GENERAL DECAY; MEMORY;

D O I：

10.1007/s40314-021-01588-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Of concern is a fractional version of a Timoshenko system augmented by a thermal equation. The leading derivatives are fractional between zero and one and one and two. We discuss how we can derive well-posedness results for the problem with and without the viscoelastic term. Moreover, we prove Mittag-Leffler stability results again for both problems. The main difficulty when dealing with memory terms and the difference with the integer case is highlighted.

引用

页数：34

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