Weak solvability of a fractional Voigt viscoelasticity model
- Authors: Orlov V.P.1, Zvyagin V.G.1
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Affiliations:
- Voronezh State University
- Issue: Vol 96, No 2 (2017)
- Pages: 491-493
- Section: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/225395
- DOI: https://doi.org/10.1134/S1064562417050283
- ID: 225395
Cite item
Abstract
The existence of a weak solution of a boundary value problem for a fractional Voigt viscoelasticity model is proved. The proof relies on an approximation of the original boundary value problem by regularized ones and recent results concerning the solvability of Cauchy problems for systems of ordinary differential equations in the class of regular Lagrangian flows.
About the authors
V. P. Orlov
Voronezh State University
Email: zvg@math.vsu.ru
Russian Federation, Voronezh, 394006
V. G. Zvyagin
Voronezh State University
Author for correspondence.
Email: zvg@math.vsu.ru
Russian Federation, Voronezh, 394006