skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: 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:
 [1]
  1. 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. doi:10.1007/S10958-018-3734-Z.
Plekhanova, M. V., E-mail: mariner79@mail.ru. Sun . "Strong Solutions to Nonlinear Degenerate Fractional Order Evolution Equations". United States. doi: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},
journal = {Journal of Mathematical Sciences},
issn = {1072-3374},
number = 1,
volume = 230,
place = {United States},
year = {2018},
month = {4}
}