Asymptotic behavior of a viscoelastic wave equation with a delay in internal fractional feedback

被引：6

作者：

Aounallah, Radhouane ^{[1
]}

Choucha, Adbelbaki ^{[2
,3
]}

Boulaaras, Salah ^{[4
]}

Zarai, Abderrahmane ^{[5
]}

机构：

[1] Univ Djillali Liabes Sidi Bel Abbes, Dept Math, Sidi Bell Abbas, Algeria

[2] Amar Teleji Laghouat Univ, Fac Sci, Dept Mat Sci, Laghouat, Algeria

[3] Ghardaia Univ, Lab Math & Appl Sci, Ghardaia, Algeria

[4] Qassim Univ, Coll Sci, Dept Math, Buraydah 51452, Saudi Arabia

[5] Larbi Tebessi Univ, Lab Math Informat & Syst LAMIS, Dept Math & Comp Sci, Tebessa 12002, Algeria

来源：

ARCHIVES OF CONTROL SCIENCES | 2024年 / 34卷 / 02期

关键词：

global existence; general decay; relaxation function; delay fractional feedback; partial differential equations; GENERAL DECAY; ENERGY DECAY; BLOW-UP; BOUNDARY; STABILIZATION; EXISTENCE; SYSTEMS;

D O I：

10.24425/acs.2024.149665

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We consider the viscoelastic wave equation with a time delay term in internal fractional feedback. By employing the energy method along with the Faedo-Galerkin procedure, we establish the global existence of solutions, subject to certain conditions. Additionally, we demonstrate how appropriate Lyapunov functionals can lead to general decay results of the energy.

引用

页码：379 / 413

页数：35

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