On a problem with conjugation conditions for an equation of even order with a fractional derivative in the sense of Caputo

Abstract

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

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