On the asymptotic stability of a Bresse system with two fractional damping terms: Theoretical and numerical analysis-Reference-Cited by-同舟云学术

On the asymptotic stability of a Bresse system with two fractional damping terms: Theoretical and numerical analysis

Published:2023 Issue:1 Volume:28 Page:580
ISSN:1531-3492
Container-title:Discrete and Continuous Dynamical Systems - B
language:
Short-container-title:DCDS-B

Author:

Bentrcia Toufik¹,Mennouni Abdelaziz¹

Affiliation:

1. Laboratory of Mathematical Techniques (LTM), Department of Mathematics, Faculty of Mathematics and Computer Sciences, University of Batna 2 -Mostefa Benboulaïd-, Fesdis, Batna 05078, Algeria

Abstract

<p style='text-indent:20px;'>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.</p>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics

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