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In the article, in a rectangular domain, by the Fourier method, the initialboundary value problem for a high-order equation with two lines of degeneracywith a fractional derivative in the sense of Caputo is investigated foruniqueness and solvability. Sufficient conditions for the well-posedness of theproblem posed are obtained.

Initial boundary value problem for a high-order equation with two lines of degeneracy with the Caputo derivative