Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2021, Volume 191, Pages 157–161
DOI: https://doi.org/10.36535/0233-6723-2021-191-157-161 (Mi into775) 		 
Approximation solution of the McKean system

S. A. Dukhnovskii

Moscow State University of Civil Engineering
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DOI: https://doi.org/10.36535/0233-6723-2021-191-157-161
Abstract: A one-dimensional kinetic system of McKean equations with fractional time derivatives is examined. Using an analytical method similar to the generalized Taylor series, we construct an approximation solution and compare the exact and approximate solutions for various values of the parameters.
Keywords: McKean system, approximation solution, fractional Caputo derivative.
English version:
Journal of Mathematical Sciences (New York), 2025, Volume 288, Issue 6, Pages 822–826
DOI: https://doi.org/10.1007/s10958-025-07772-7
Bibliographic databases:
Document Type: Article
UDC: 517.958:531.332
MSC: 35L45, 35L60, 35Q20
Language: Russian
Citation: S. A. Dukhnovskii, “Approximation solution of the McKean system”, Proceedings of the Voronezh spring mathematical school “Modern methods of the theory of boundary-value problems. Pontryagin readings – XXX”. Voronezh, May 3-9, 2019. Part 2, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 191, VINITI, Moscow, 2021, 157–161; J. Math. Sci. (N. Y.), 288:6 (2025), 822–826
Citation in format AMSBIB
\Bibitem{Duk21}
\by S.~A.~Dukhnovskii
\paper Approximation solution of the McKean system
\inbook Proceedings of the Voronezh spring mathematical school
“Modern methods of the theory of boundary-value problems. Pontryagin readings – XXX”. Voronezh, May 3-9, 2019. Part 2
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2021
\vol 191
\pages 157--161
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into775}
\crossref{https://doi.org/10.36535/0233-6723-2021-191-157-161}
\elib{https://elibrary.ru/item.asp?id=46289886}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2025
\vol 288
\issue 6
\pages 822--826
\crossref{https://doi.org/10.1007/s10958-025-07772-7}
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