Asymptotic behavior in a laminated beams due interfacial slip with a boundary dissipation of fractional derivative type

DOI10.1007/s00245-019-09639-1zbMath1471.74033OpenAlexW2993507773WikidataQ126649931 ScholiaQ126649931MaRDI QIDQ2045112

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

Publication date: 11 August 2021

Published in: Applied Mathematics and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00245-019-09639-1

zbMATH Keywords

existenceuniquenessexponential stabilitysemigroup theoryfractional derivativepolynomial stabilitythermoelastic laminated beam

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Thermal effects in solid mechanics (74F05) Stability of dynamical problems in solid mechanics (74H55) Existence of solutions of dynamical problems in solid mechanics (74H20) Uniqueness of solutions of dynamical problems in solid mechanics (74H25) Applications of fractional calculus in solid mechanics (74S40)

Cites Work

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• Exponential stability for a structure with interfacial slip and frictional damping
• 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
• Easy test for stability of laminated beams with structural damping and boundary feedback controls
• Exponential Stabilization ofLaminated Beams with Structural Damping and Boundary Feedback Controls
• One-Parameter Semigroups for Linear Evolution Equations
• Wave energy decay under fractional derivative controls

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