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Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 2018, Volume 156, Pages 3–17 (Mi into393)  

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

Shakhobiddin T. Karimov

Ferghana State University

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

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Bibliographic databases:
UDC: 517.955
MSC: 35K25, 35K30

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. Ser. Sovrem. Mat. Pril. Temat. Obz., 156, VINITI, Moscow, 2018, 3–17

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. Ser. Sovrem. Mat. Pril. Temat. Obz.
\yr 2018
\vol 156
\pages 3--17
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into393}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=3939192}


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