Strong Solutions to Nonlinear Degenerate Fractional Order Evolution Equations

Journal Article · Sun Apr 15 00:00:00 EDT 2018 · Journal of Mathematical Sciences

DOI:https://doi.org/10.1007/S10958-018-3734-Z· OSTI ID:22771397

Plekhanova, M. V., E-mail: [e-mail] ^[1]

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1. Chelyabinsk State University (Russian Federation)

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.

• OSTI ID: 22771397
• Journal Information: Journal of Mathematical Sciences, Vol. 230, 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); ISSN 1072-3374
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICAL METHODS AND COMPUTING
BOUNDARY-VALUE PROBLEMS
EVOLUTION EQUATIONS
FLOW MODELS
FLUIDS
MATHEMATICAL SOLUTIONS
NONLINEAR PROBLEMS