Spectrum of an integro-differential equation of fractional order
DOI10.1007/S10958-023-06733-2OpenAlexW4387877516MaRDI QIDQ6150311
Alexei S. Shamaev, V. V. Shumilova
Publication date: 6 February 2024
Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10958-023-06733-2
Fourier series solutionhomogeneous viscoelastic mediumfractional exponential Rabotnov functionGerasimov-Caputo fractional time derivativeone-dimensional eigenoscillation
Vibrations in dynamical problems in solid mechanics (74H45) Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Linear constitutive equations for materials with memory (74D05) PDEs in connection with mechanics of deformable solids (35Q74) Applications of fractional calculus in solid mechanics (74S40)
Cites Work
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- Spectral analysis of integro-differential equations in viscoelasticity theory
- Application of fractional derivatives to the analysis of damped vibrations of viscoelastic single mass systems
- On the spectrum of an integro-differential equation arising in viscoelasticity theory
- Investigation of operator models arising in viscoelasticity theory
- Fractional operator viscoelastic models in dynamic problems of mechanics of solids: a review
- Effective Acoustic Equations for a Layered Material Described by the Fractional Kelvin-Voigt Model
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