Geodesic
Boundary value problem for a degenerate equation with a Riemann--Liouville operator
Nanosistemy: fizika, himiâ, matematika, Tome 14 (2023) no. 5, pp. 511-517

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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.
Keywords: high order equation, initial-boundary value problem, fractional derivative in the sense of Riemann–Liouville, eigenvalue, eigenfunction, Kilbas–Saigo function, series, uniqueness.
Mots-clés : convergence, existence 
@article{NANO_2023_14_5_a1,
     author = {Bakhrom Yu. Irgashev},
     title = {Boundary value problem for a degenerate equation with a {Riemann--Liouville} operator},
     journal = {Nanosistemy: fizika, himi\^a, matematika},
     pages = {511--517},
     publisher = {mathdoc},
     volume = {14},
     number = {5},
     year = {2023},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/NANO_2023_14_5_a1/}
}
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Bakhrom Yu. Irgashev. Boundary value problem for a degenerate equation with a Riemann--Liouville operator. Nanosistemy: fizika, himiâ, matematika, Tome 14 (2023) no. 5, pp. 511-517. http://geodesic.mathdoc.fr/item/NANO_2023_14_5_a1/