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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2018, Volume 156, Pages 3–17 (Mi into393)  
This article is cited in 2 scientific papers (total in 2 papers)

An analog of the Cauchy problem for the inhomogeneous multidimensional polycaloric equation containing the Bessel operator

Shakhobiddin T. Karimov

Ferghana State University
Full-text PDF (234 kB) Citations (2)
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Abstract: An explicit formula for solutions of an analog of the Cauchy problem for the inhomogeneous multidimensional polycaloric equation containing the Bessel operator is obtained. The construction of a solution is based on the application of the multidimensional Erdélyi–Kober operator of fractional order.
Keywords: Cauchy problem, equation polycaloric, Erdélyi–Kober operator, Bessel differential operator.
English version:
Journal of Mathematical Sciences (New York), 2021, Volume 254, Issue 6, Pages 703–717
DOI: https://doi.org/10.1007/s10958-021-05334-1
Bibliographic databases:
Document Type: Article
UDC: 517.955
MSC: 35K25, 35K30
Language: Russian
Citation: Shakhobiddin T. Karimov, “An analog of the Cauchy problem for the inhomogeneous multidimensional polycaloric equation containing the Bessel operator”, Mathematical Analysis, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 156, VINITI, Moscow, 2018, 3–17; J. Math. Sci. (N. Y.), 254:6 (2021), 703–717
Citation in format AMSBIB
\Bibitem{Kar18}
\by Shakhobiddin~T.~Karimov
\paper An analog of the Cauchy problem for the inhomogeneous multidimensional polycaloric equation containing the Bessel operator
\inbook Mathematical Analysis
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2018
\vol 156
\pages 3--17
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into393}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3939192}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2021
\vol 254
\issue 6
\pages 703--717
\crossref{https://doi.org/10.1007/s10958-021-05334-1}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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