On solvability of an initial-boundary value problem for a viscoelasticity model with fractional derivatives

DOI10.1134/S0037446618060101zbMath1409.76020OpenAlexW2906142853WikidataQ128695185 ScholiaQ128695185MaRDI QIDQ1731399

Viktor G. Zvyagin, Vladimir Orlov

Publication date: 13 March 2019

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0037446618060101

zbMATH Keywords

weak solutioninitial-boundary value problemequation of motionfractional derivativeviscoelastic mediumanti-Zener model

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Viscoelastic fluids (76A10) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Related Items (5)

Bounded solutions of second order of accuracy difference schemes for semilinear fractional Schrödinger equations ⋮ Fractional operator viscoelastic models in dynamic problems of mechanics of solids: a review ⋮ On regularity of weak solutions to a generalized Voigt model of viscoelasticity ⋮ Weak solvability of one viscoelastic fractional dynamics model of continuum with memory ⋮ A note on fractional powers of strongly positive operators and their applications

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• Реологические модели вязкоупругого тела с памятью и дифференциальные уравнения дробных осцилляторов

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