Stability for an Klein–Gordon equation type with a boundary dissipation of fractional derivative type

DOI10.3233/ASY-211689MaRDI QIDQ5029378

Octavio P. Vera Villagrán, Jaime Edilberto Muñoz Rivera, Veronica Poblete Oviedo

Publication date: 14 February 2022

Published in: Asymptotic Analysis (Search for Journal in Brave)

zbMATH Keywords

Klein-Gordon equationsemigroup theorypolynomial stability

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Viscoelastic fluids (76A10) Fractional derivatives and integrals (26A33) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Fractional partial differential equations (35R11) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (1)

On the solution behavior of a nonlinear time-fractional Klein-Gordon equation: theoretical study and numerical validation

Cites Work

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• Optimal polynomial decay of functions and operator semigroups
• Fractional order Volterra equations with applications to elasticity
• Differential equations of fractional order:methods results and problem —I
• On the Spectrum of C 0 -Semigroups
• Tauberian Theorems and Stability of One-Parameter Semigroups
• Boundary fractional derivative control of the wave equation
• Wave energy decay under fractional derivative controls

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