ON THE ASYMPTOTIC STABILITY OF A BRESSE SYSTEM WITH TWO FRACTIONAL DAMPING TERMS: THEORETICAL AND NUMERICAL ANALYSIS

被引：11
|
作者：
Bentrcia, Toufik [1 ]
Mennouni, Abdelaziz [1 ]
机构：
[1] Univ Batna 2 Mostefa Benboulaid, Fac Math & Comp Sci, Dept Math, Lab Math Tech LTM, Batna 05078, Algeria
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2023年 / 28卷 / 01期
关键词：
Bresse system; fractional damping; asymptotic stability; finite differ-ence scheme; convergence; DECAY-RATE; ENERGY DECAY; EQUATION; RATES;
D O I：
10.3934/dcdsb.2022090
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The aim of this work is to investigate the asymptotic stability of a viscoelastic Bresse system in one dimensional bounded domain. In this context, we introduce two internal damping terms expressed using the generalized Caputo fractional derivative. By adopting a diffusive representation, we show the well-posedness of the proposed system and we prove some decay results. In order to validate the theoretical findings, we implement a finite difference method and we conduct intensive numerical simulations. Moreover, we provide some insights on the convergence of the elaborated numerical scheme.
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页码：580 / 622
页数：43
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