Аннотация:
In the article, the uniqueness and solvability of one boundary value problem for a high-order equation with two lines of degeneracy with a fractional Riemann–Liouville derivative in a rectangular domain is studied by the Fourier method. Sufficient conditions for the well-posedness of the problem posed are obtained.
Ключевые слова:high order equation, initial-boundary value problem, fractional derivative in the sense of Riemann–Liouville, eigenvalue, eigenfunction,
Kilbas–Saigo function, series, convergence, existence, uniqueness.
Поступила в редакцию: 21.06.2023 Исправленный вариант: 08.08.2023 Принята в печать: 09.09.2023