TIMOSHENKO SYSTEM WITH INTERNAL DISSIPATION OF FRACTIONAL DERIVATIVE TYPE

被引：0

作者：

de Jesus, Rafael Oliveira ^{[1
,3
]}

Raposo, Carlos Alberto ^{[2
]}

Ribeiro, Joilson Oliveira ^{[3
]}

Villagran, Octavio Vera ^{[4
]}

机构：

[1] Univ Pernambuco, Dept Math, BR-56328900 Petrolina, PE, Brazil

[2] Fed Univ Para, Fac Math, BR-68721000 Salinopolis, PA, Brazil

[3] Univ Fed Bahia, Dept Math, BR-40170110 Salvador, BA, Brazil

[4] Univ Tarapaca, Dept Math, Arica, Chile

来源：

JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2025年 / 15卷 / 02期

关键词：

Timoshenko system; well-posedness; polynomial stability; frac- tional derivative type damping; TRANSVERSE VIBRATIONS; STABILITY; EQUATIONS; CALCULUS;

D O I：

10.11948/20240289

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This manuscript deals with the well-posedness and asymptotic behavior of the Timoshenko system with internal dissipation of fractional derivative type. We use semigroup theory. The existence and uniqueness of the solution are obtained by applying the Lumer-Phillips Theorem. We present two results for the asymptotic behavior: strong stability of the C-0-semigroup associated with the system using the Arendt-Batty and Lyubich-Vu's general criterion and the polynomial stability applying the Borichev-Tomilov's theorem. This results expand the understanding of the asymptotic behavior of Timoshenko systems with fractional internal dissipation, providing clear criteria for both strong and polynomial stability.

引用

页码：1146 / 1169

页数：24

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