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

被引：0
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作者：
Nasser-eddine Tatar
机构：
[1] King Fahd University of Petroleum and Minerals,Department of Mathematics and Statistics, Interdisciplinary Research Center for Intelligent, Manufacturing and Robotics
来源：
Computational and Applied Mathematics | 2021年 / 40卷
关键词：
Caputo fractional derivative; Mittag-Leffler stability; Multiplier technique; Thermo-viscoelasticity; Timoshenko system; 26A33; 35L20; 35B35; 35B40;
D O I：
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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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