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Matematicheskie Zametki, 2021, Volume 109, Issue 2, Pages 290–301
DOI: https://doi.org/10.4213/mzm12629 (Mi mzm12629) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Third Boundary-Value Problem in the Half-Strip for the $B$-Parabolic Equation

F. G. Khushtova

Institute of Applied Mathematics and Automation, Nalchik
Full-text PDF (510 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm12629
Abstract: The third boundary-value problem in the half-strip for a partial differential equation with Bessel operator is studied. Existence and uniqueness theorems are proved. The representation of the solution is found in terms of the Laplace convolution of the exponential function and Mittag-Leffler type function with power multipliers. Uniqueness is proved for the class of bounded functions.
Keywords: Bessel operator, anomalous diffusion, $B$-parabolic equation, Mittag-Leffler type function, third boundary-value problem.
Received: 09.12.2019
Revised: 12.08.2020
English version:
Mathematical Notes, 2021, Volume 109, Issue 2, Pages 292–301
DOI: https://doi.org/10.1134/S0001434621010338
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: Russian
Citation: F. G. Khushtova, “Third Boundary-Value Problem in the Half-Strip for the $B$-Parabolic Equation”, Mat. Zametki, 109:2 (2021), 290–301; Math. Notes, 109:2 (2021), 292–301
Citation in format AMSBIB
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\jour Math. Notes
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    • This publication is cited in the following 2 articles:
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