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Sibirskii Matematicheskii Zhurnal, 2025, Volume 66, Number 2, Pages 219–232
DOI: https://doi.org/10.33048/smzh.2025.66.208 (Mi smj7940) 		 
On systems of differential inclusions of fractional order in Banach spaces

V. V. Obukhovskiia, M. I. Kamenskiib, G. Petrosyana, T. A. Ul'vachevaa, S. Zengc

a Faculty of Physics and Mathematics Voronezh State Pedagogical University, Voronezh, Russia
b Faculty of Mathematics, Voronezh State University, Voronezh, Russia
c National Center for Applied Mathematics in Chongqing School of Mathematical Sciences, Chongqing Normal University, Chongqing, China
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DOI: https://doi.org/10.33048/smzh.2025.66.208
Abstract: We study systems of fractional differential inclusions in a Banach space whose right-hand sides are multivalued maps of Carathéodory type depending on time, a finite set of functions, and their derivatives. To solve the existence problem for solutions to such a system, we apply the theory of fractional mathematical analysis and the theory of topological degree for multivalued condensing maps.
Keywords: differential inclusion, fractional derivative, boundary value problem, measure of noncompactness, fixed point, condensing multimap.
Funding agency Grant number
Russian Science Foundation 22-71-10008
The work was supported by the Russian Science Foundation (Project 22–71–10008).
Received: 05.02.2025
Revised: 05.02.2025
Accepted: 25.02.2025
English version:
Siberian Mathematical Journal, 2025, Volume 66, Issue 2, Pages 303–314
DOI: https://doi.org/10.1134/S0037446625020089
Document Type: Article
UDC: 517.929
MSC: 35R30
Language: Russian
Citation: V. V. Obukhovskii, M. I. Kamenskii, G. Petrosyan, T. A. Ul'vacheva, S. Zeng, “On systems of differential inclusions of fractional order in Banach spaces”, Sibirsk. Mat. Zh., 66:2 (2025), 219–232; Siberian Math. J., 66:2 (2025), 303–314
Citation in format AMSBIB
\Bibitem{ObuKamPet25}
\by V.~V.~Obukhovskii, M.~I.~Kamenskii, G.~Petrosyan, T.~A.~Ul'vacheva, S.~Zeng
\paper On~systems of~differential inclusions of~fractional order in~Banach spaces
\jour Sibirsk. Mat. Zh.
\yr 2025
\vol 66
\issue 2
\pages 219--232
\mathnet{http://mi.mathnet.ru/smj7940}
\transl
\jour Siberian Math. J.
\yr 2025
\vol 66
\issue 2
\pages 303--314
\crossref{https://doi.org/10.1134/S0037446625020089}
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