A Boundary Value Problem with Conjugation Conditions for a Degenerate Equation with the Caputo Fractional Derivative

In this paper, for a degenerate higher-order equation with a fractional derivative in the sense of Caputo, a nonlocal problem with conjugation conditions in a rectangular domain is studied. The solution is constructed in the form of a Fourier series in the eigenfunctions of a one-dimensional problem. A criterion for uniqueness of a solution is given.

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