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Matematicheskie Zametki, 2016, Volume 99, Issue 6, Pages 921–928
DOI: https://doi.org/10.4213/mzm10759
(Mi mzm10759)
 

This article is cited in 11 scientific papers (total in 11 papers)

First Boundary-Value Problem in the Half-Strip for a Parabolic-Type Equation with Bessel Operator and Riemann–Liouville Derivative

F. G. Khushtova

Institute of Applied Mathematics and Automation, Nalchik
References:
Abstract: The first boundary-value problem in the half-strip for a parabolic-type equation with Bessel operator and Riemann–Liouville derivative is studied. In the case of the zero initial condition, the representation of the solution in terms of the Fox $H$-function is obtained. The uniqueness of the solution for a class of functions vanishing at infinity is proved. It is shown that when the equation under consideration coincides with the Fourier equation, the obtained representation of the solution becomes the known representation of the solution of the corresponding problem.
Keywords: parabolic-type equation, first boundary-value problem, Fox $H$-function, Riemann–Liouville derivative, Bessel operator, Fourier equation, diffusion of fractional order.
Received: 15.04.2015
Revised: 30.09.2015
English version:
Mathematical Notes, 2016, Volume 99, Issue 6, Pages 916–923
DOI: https://doi.org/10.1134/S0001434616050308
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: Russian
Citation: F. G. Khushtova, “First Boundary-Value Problem in the Half-Strip for a Parabolic-Type Equation with Bessel Operator and Riemann–Liouville Derivative”, Mat. Zametki, 99:6 (2016), 921–928; Math. Notes, 99:6 (2016), 916–923
Citation in format AMSBIB
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  • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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