Well-posedness and stability of coupled system of wave and strongly damped Petrovsky equations with internal fractional damping

被引：0
|
作者：
Zouatnia, Sara [1 ]
Boulaaras, Salah [2 ]
Amroun, Nour Eddine [3 ]
Souid, Mohammed Said [4 ]
机构：
[1] Echahid Cheikh Larbi Tebessi Univ, Lab Math Informat & Syst LAMIS, Tbessa, Algeria
[2] Qassim Univ, Coll Sci, Dept Math, Buraydah 51452, Saudi Arabia
[3] Univ Djillali Liabes Sidi Bel Abbes, Lab Anal & Control PDEs, POB 89, Sidi Bel Abbes, Algeria
[4] Univ Tiaret, Dept Econ Sci, Tiaret, Algeria
来源：
AFRIKA MATEMATIKA | 2025年 / 36卷 / 01期
关键词：
Well-posedness; C-0-semigroup; Multiplier method; Strong stability; Borichev and Tomilov; General stability; Fractional derivative; ENERGY DECAY;
D O I：
10.1007/s13370-025-01238-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study a coupled system of waves and strongly damped Petrovsky equations with internal fractional damping in a bounded domain. After demonstrating that the system is well-posed using the semigroup theory of linear operators and a conclusion established by Borichev and Tomilov, we analyze the systems stability.
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页数：20
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