Email this article Strong Solutions to Nonlinear Degenerate Fractional Order Evolution Equations
- Authors: Plekhanova M.V.1,2
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Affiliations:
- Chelyabinsk State University
- South Ural State University
- Issue: Vol 230, No 1 (2018)
- Pages: 146-158
- Section: Article
- URL: https://journal-vniispk.ru/1072-3374/article/view/240646
- DOI: https://doi.org/10.1007/s10958-018-3734-z
- ID: 240646
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Abstract
We obtain conditions for the existence and uniqueness of a strong solution to the initial problem for a degenerate evolution equation that is not solvable with respect to the fractional order derivative. The obtained results are used to study the initial- boundary value problem governing the fractional model of a viscoelastic Kelvin–Voigt fluid.
About the authors
M. V. Plekhanova
Chelyabinsk State University; South Ural State University
Author for correspondence.
Email: mariner79@mail.ru
Russian Federation, 129, Brat’ev Kashirinyh St., Chelyabinsk, 454001; 76, Lenina pr., Chelyabinsk, 454080
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