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Reports of Adyghe (Circassian) International Academy of Sciences, 2021, Volume 21, Issue 4, Pages 22–29
DOI: https://doi.org/10.47928/1726-9946-2021-21-4-22-29 (Mi aman27) 		 
MATHEMATICS

Cauchy problem for a system of equations with the partial Gerasimov - Caputo derivatives

M. O. Mamchuev

Institute of Applied Mathematics and Automation, Nalchik
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DOI: https://doi.org/10.47928/1726-9946-2021-21-4-22-29
Abstract: For the system of equations with the partial Gerasimov – Caputo derivatives, a general representation of regular in a rectangular domain solutions is constructed. Cauchy problem is investigated. Theorems of existence and uniqueness of the solution are proved.
Keywords: system of partial differential equations, fractional derivative, Gerasimov – Caputo derivative, Green's function method, Cauchy problem, fundamental solution.
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: Russian
Citation: M. O. Mamchuev, “Cauchy problem for a system of equations with the partial Gerasimov - Caputo derivatives”, Reports of AIAS, 21:4 (2021), 22–29
Citation in format AMSBIB
\Bibitem{Mam21}
\by M.~O.~Mamchuev
\paper Cauchy problem for a system of equations with the partial Gerasimov - Caputo derivatives
\jour Reports of AIAS
\yr 2021
\vol 21
\issue 4
\pages 22--29
\mathnet{http://mi.mathnet.ru/aman27}
\crossref{https://doi.org/10.47928/1726-9946-2021-21-4-22-29}
\elib{https://elibrary.ru/item.asp?id=47507045}
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