Strong Solutions to Nonlinear Degenerate Fractional Order Evolution Equations
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.
- Authors:
- Chelyabinsk State University (Russian Federation)
- Publication Date:
- OSTI Identifier:
- 22771397
- Resource Type:
- Journal Article
- Journal Name:
- Journal of Mathematical Sciences
- Additional Journal Information:
- Journal Volume: 230; Journal Issue: 1; Other Information: Copyright (c) 2018 Springer Science+Business Media, LLC, part of Springer Nature; http://www.springer-ny.com; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1072-3374
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 97 MATHEMATICAL METHODS AND COMPUTING; BOUNDARY-VALUE PROBLEMS; EVOLUTION EQUATIONS; FLOW MODELS; FLUIDS; MATHEMATICAL SOLUTIONS; NONLINEAR PROBLEMS
Citation Formats
Plekhanova, M. V., E-mail: mariner79@mail.ru. Strong Solutions to Nonlinear Degenerate Fractional Order Evolution Equations. United States: N. p., 2018.
Web. doi:10.1007/S10958-018-3734-Z.
Plekhanova, M. V., E-mail: mariner79@mail.ru. Strong Solutions to Nonlinear Degenerate Fractional Order Evolution Equations. United States. https://doi.org/10.1007/S10958-018-3734-Z
Plekhanova, M. V., E-mail: mariner79@mail.ru. 2018.
"Strong Solutions to Nonlinear Degenerate Fractional Order Evolution Equations". United States. https://doi.org/10.1007/S10958-018-3734-Z.
@article{osti_22771397,
title = {Strong Solutions to Nonlinear Degenerate Fractional Order Evolution Equations},
author = {Plekhanova, M. V., E-mail: mariner79@mail.ru},
abstractNote = {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.},
doi = {10.1007/S10958-018-3734-Z},
url = {https://www.osti.gov/biblio/22771397},
journal = {Journal of Mathematical Sciences},
issn = {1072-3374},
number = 1,
volume = 230,
place = {United States},
year = {Sun Apr 15 00:00:00 EDT 2018},
month = {Sun Apr 15 00:00:00 EDT 2018}
}
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