Analysis of fractionally damped flexible systems via a diffusion equation

DOI10.1080/00207729408949312zbMath0816.73032OpenAlexW2102888410MaRDI QIDQ4697842

Brahima Mbodje, Jacques Audounet, G. Montseny

Publication date: 1 May 1995

Published in: International Journal of Systems Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207729408949312

zbMATH Keywords

existenceuniquenessfractional derivativesasymptotic stabilityLyapunov functionalaxial deformationheredityinput-output behaviour

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Stability of dynamical problems in solid mechanics (74H55) Dynamical problems in solid mechanics (74Hxx)

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Cites Work

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• Semigroups of linear operators and applications to partial differential equations
• Fractional order Volterra equations with applications to elasticity
• Global solutions to the equation of viscoelasticity with fading memory
• Orientation and stabilization of a flexible beam attached to a rigid body: planar motion
• Stability of viscoelastic control systems
• Semigroup model and stability of the structurally damped Timoshenko beam with boundary inputs
• Energy Inequalities for Integro-Partial Differential Equations with Riemann–Liouville Integrals
• Stochastic differential equations with fractional Brownian motion input
• Fractional Derivatives of Imaginary Order
• Fractional Integration

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