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Adyghe International Scientific Journal, 2023, Volume 23, Issue 4, Pages 28–33
DOI: https://doi.org/10.47928/1726-9946-2023-23-4-28-33 (Mi aman80) 		 
MATHEMATICS

Boundary value problem for the loaded McKendrick – von Foerster equation of fractional order

F. M. Losanova, R. O. Kenetova

Institute of Applied Mathematics and Automation, Nalchik
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DOI: https://doi.org/10.47928/1726-9946-2023-23-4-28-33
Abstract: The paper considers the loaded McKendrick-von Foerster equation of fractional order, which characterizes the population dynamics with age structure taking migration into account. The boundary value problem in the rectangular domain is studied. The solution is found by reduction to the Volterra integral equation of the 2nd kind. The existence and uniqueness theorem of the problem under study is provedn.
Keywords: Gerasimov – Caputo derivative, loaded equation, McKendrick-von Foerster equations, Wright function, fractional equations
Received: 11.12.2023
Revised: 15.12.2023
Accepted: 21.12.2023
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: Russian
Citation: F. M. Losanova, R. O. Kenetova, “Boundary value problem for the loaded McKendrick – von Foerster equation of fractional order”, Adyghe Int. Sci. J., 23:4 (2023), 28–33
Citation in format AMSBIB
\Bibitem{LosKen23}
\by F.~M.~Losanova, R.~O.~Kenetova
\paper Boundary value problem for the loaded McKendrick – von Foerster equation of fractional order
\jour Adyghe Int. Sci. J.
\yr 2023
\vol 23
\issue 4
\pages 28--33
\mathnet{http://mi.mathnet.ru/aman80}
\crossref{https://doi.org/10.47928/1726-9946-2023-23-4-28-33}
\elib{https://elibrary.ru/item.asp?id=https://www.elibrary.ru/item.asp?id=58836045}
\edn{https://elibrary.ru/UUZSAY}
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