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.
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页数：34
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