This article studies a Dirichlet-type problem in mixed domains, indicating unique solution criteria and existence conditions.
In this paper, in a rectangular domain, we study a Dirichlet‐type problem with gluing conditions for a degenerate high‐order equation with fractional derivatives in the Riemann–Liouville sense of orders , for , and , for . A criterion for the uniqueness of the solution of the stated problem is given. Using asymptotic expansions for the Mittag–Leffler function and Bessel's inequality, sufficient conditions for the existence of a solution are found.
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B. Yu. Irgashev (2025) studied this question.
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