Stability for a weakly coupled wave equations with a boundary dissipation of fractional derivative type

被引：4
|
作者：
Villagran, O. P. V. [1 ]
Nonato, C. A. [2 ]
Raposo, C. A. [3 ]
Ramos, A. J. A. [4 ]
机构：
[1] Univ Tarapaca, Dept Math, Casilla 7D, Arica, Chile
[2] Univ Fed Bahia, Av Adhemar Barros S-N, BR-40170115 Salvador, BA, Brazil
[3] Univ Fed Sao Joao del Rei, Math Dept, Praca Frei Orlando 170, BR-36307352 Sao Joao Del Rei, MG, Brazil
[4] Fed Univ Para, Fac Math, Rua Raimundo Santana S-N, BR-68721000 Salinopolis, Para, Brazil
来源：
RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO | 2023年 / 72卷 / 02期
关键词：
Semigroup theory; Waves coupled system; Polynomial stability; STABILIZATION;
D O I：
10.1007/s12215-021-00703-w
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper deals with the stability for a weakly coupled wave equations with a boundary dissipation of fractional derivative type. We have proved well posedness and polynomial stability using the semigroup theory and a sharp result provided by Borichev and Tomilov.
引用
收藏
页码：803 / 831
页数：29
相关论文
共 50 条
  • [31] On the sensitivity of the transmission of boundary dissipation for strongly coupled and indirectly damped systems of wave equations
    Rao, Bopeng
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2019, 70 (03):
  • [32] Weakly perturbed linear boundary-value problem for system of fractional differential equations with Caputo derivative
    Boichuk, Oleksandr
    Feruk, Viktor
    RESULTS IN APPLIED MATHEMATICS, 2024, 21
  • [33] Asymptotic Behavior in a Laminated Beams Due Interfacial Slip with a Boundary Dissipation of Fractional Derivative Type
    Tita Maryati
    Jaime Muñoz Rivera
    Verónica Poblete
    Octavio Vera
    Applied Mathematics & Optimization, 2021, 84 : 85 - 102
  • [34] Asymptotic Behavior in a Laminated Beams Due Interfacial Slip with a Boundary Dissipation of Fractional Derivative Type
    Maryati, Tita
    Munoz Rivera, Jaime
    Poblete, Veronica
    Vera, Octavio
    APPLIED MATHEMATICS AND OPTIMIZATION, 2021, 84 (01): : 85 - 102
  • [35] Quasi-stability and Upper Semicontinuity for Coupled Wave Equations with Fractional Damping
    Yuming Qin
    Xiaoyue Han
    Applied Mathematics & Optimization, 2024, 89
  • [36] Quasi-stability and Upper Semicontinuity for Coupled Wave Equations with Fractional Damping
    Qin, Yuming
    Han, Xiaoyue
    APPLIED MATHEMATICS AND OPTIMIZATION, 2024, 89 (01):
  • [37] THE LACK OF EXPONENTIAL STABILITY FOR A WEAKLY COUPLED WAVE EQUATIONS THROUGH A VARIABLE DENSITY TERM
    Bel, Monia
    Salah, Hadj
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2022, 15 (06): : 1339 - 1354
  • [38] Coupled fractional differential equations involving Caputo-Hadamard derivative with nonlocal boundary conditions
    Nain, Ankit
    Vats, Ramesh
    Kumar, Avadhesh
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2021, 44 (05) : 4192 - 4204
  • [39] Hyers-Ulam stability for boundary value problem of fractional differential equations with κ$$ \kappa $$-Caputo fractional derivative
    Vu, Ho
    Rassias, John M.
    Hoa, Ngo Van
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2023, 46 (01) : 438 - 460
  • [40] BOUNDARY VALUE PROBLEM FOR DIFFERENTIAL EQUATIONS WITH GENERALIZED HILFER-TYPE FRACTIONAL DERIVATIVE
    Benchohra, Mouffak
    Bouriah, Soufyane
    Nieto, Juan J.
    FIXED POINT THEORY, 2021, 22 (02): : 527 - 542
12345