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.

引用

页码：580 / 622

页数：43

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