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.
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Translated from Sibirskii Zhurnal Chistoi i Prikladnoi Matematiki 16, No. 3, 2016, pp. 61-74.
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Plekhanova, M.V. Strong Solutions to Nonlinear Degenerate Fractional Order Evolution Equations. J Math Sci 230, 146–158 (2018). https://doi.org/10.1007/s10958-018-3734-z
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DOI: https://doi.org/10.1007/s10958-018-3734-z