Boundary Value Problem With Discontinuous Gluing Conditions for a Fractional Order Parabolic-elliptic-hyperbolic Equation in a Rectangular Domain
Year: 2025
Type: article
Abstract: In this paper, we study a boundary value problem with discontinuous gluing conditions for a parabolic-elliptic-hyperbolic equation with a fractional order operator in the sense of Gerasimov-Caputo in a rectangular domain. A uniqueness criterion is established. A solution to the problem is constructed as a sum of a series in eigenfunctions of the corresponding one-dimensional spectral problem. Estimates are obtained that allow justification of the convergence of series in the class of regular solutions of this equation and the stability of the solution to the problem from the boundary data.
Author: U.Sh. Ubaydullaev
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W6949500050
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