Wave Propagation Dynamics in a Fractional Zener Model with Stochastic Excitation

Equations of motion for a Zener model describing a viscoelastic rod are investigated and conditions ensuring the existence, uniqueness and regularity properties of solutions are obtained. Restrictions on the coefficients in the constitutive equation are determined by a weak form of the dissipation i...

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Veröffentlicht in:	Fractional calculus & applied analysis 2020-12, Vol.23 (6), p.1570-1604
Hauptverfasser:	Atanacković, Teodor, Pilipović, Stevan, Seleši, Dora
Format:	Artikel
Sprache:	eng
Schlagworte:	35R11 35R60 60G15 74D05 74J05 82D30 Abstract Harmonic Analysis Analysis constitutive equation Constitutive equations Constitutive relationships Equations of motion fractional derivatives Functional Analysis Integral Transforms Karhunen-Loéve expansion Mathematics Operational Calculus Primary 26A33 Secondary 35L05 stochastic excitation Stochastic models stochastic process Stochastic processes Survey Paper thermodynamical restrictions Wave propagation
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