Geodesic
A boundary value problem with conjugation conditions for a degenerate the equations with the Caputo fractional derivative
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2022), pp. 27-36

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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 the uniqueness of a solution is given.
Keywords: even order equation, fractional Caputo derivative, degeneration, eigenvalue, eigenfunction, Fourier series
Mots-clés : conjugation conditions, convergence. 
@article{IVM_2022_4_a2,
     author = {B. Yu. Irgashev},
     title = {A boundary value problem with conjugation conditions for a degenerate the equations with the {Caputo} fractional derivative},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {27--36},
     publisher = {mathdoc},
     number = {4},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2022_4_a2/}
}
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B. Yu. Irgashev. A boundary value problem with conjugation conditions for a degenerate the equations with the Caputo fractional derivative. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2022), pp. 27-36. http://geodesic.mathdoc.fr/item/IVM_2022_4_a2/