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

DOI10.1007/s12215-021-00703-wOpenAlexW4206444523MaRDI QIDQ2695210

A. J. A. Ramos, Carlos Alberto Raposo, Carlos A. S. Nonato, Octavio P. Vera Villagrán

Publication date: 30 March 2023

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12215-021-00703-w

zbMATH Keywords

semigroup theorypolynomial stabilitywaves coupled system

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) KdV equations (Korteweg-de Vries equations) (35Q53) One-parameter semigroups and linear evolution equations (47D06) Fractional derivatives and integrals (26A33) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Nonlinear evolution equations (47J35) Fractional partial differential equations (35R11) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (1)

Porous elastic soils with fluid saturation and boundary dissipation of fractional derivative type

Cites Work

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• On exact boundary controllability for linearly coupled wave equations
• Indirect internal stabilization of weakly coupled evolution equations
• Optimal polynomial decay of functions and operator semigroups
• Semigroups of linear operators and applications to partial differential equations
• Fractional order Volterra equations with applications to elasticity
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Study of exponential stability of coupled wave systems via distributed stabilizer
• On coupled wave equation of Kirchhoff type with nonlinear boundary damping and memory term
• On the Lauwerier formulation of the temperature field problem in oil strata
• On the Appearance of the Fractional Derivative in the Behavior of Real Materials
• Differential equations of fractional order:methods results and problem —I
• Polynomial stability of operator semigroups
• Tauberian Theorems and Stability of One-Parameter Semigroups
• Stabilisation frontière indirecte de systèmes faiblement couplés
• Boundary fractional derivative control of the wave equation
• Differential Equations of Fractional Order: Methods, Results and Problems. II
• Wave energy decay under fractional derivative controls

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