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Tambov University Reports. Series: Natural and Technical Sciences, 2018, Volume 23, Issue 123, Pages 524–530
DOI: https://doi.org/10.20310/1810-0198-2018-23-123-524-530 (Mi vtamu54) 		 
Scientific articles

On the formal representation of solutions of differential equations of fractional order

G. Petrosyan

Voronezh State Pedagogical University
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DOI: https://doi.org/10.20310/1810-0198-2018-23-123-524-530
Abstract: The paper presents a formal representation of solutions of non-scalar semilinear differential equations in Banach spaces by means of the Mittag-Leffler function.
Keywords: differential equation, Mittag-Leffler function, gamma function, Banach Space.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 1.3464.2017 / 4.6
The work is supported by the Ministry of Education and Science of the Russian Federation in the frameworks of the project part of the state work quota (Project № 1.3464.2017 / 4.6).
Received: 20.04.2018
Bibliographic databases:
Document Type: Article
UDC: 517.92
Language: Russian
Citation: G. Petrosyan, “On the formal representation of solutions of differential equations of fractional order”, Tambov University Reports. Series: Natural and Technical Sciences, 23:123 (2018), 524–530
Citation in format AMSBIB
\Bibitem{Pet18}
\by G.~Petrosyan
\paper On the formal representation of solutions of differential equations of fractional order
\jour Tambov University Reports. Series: Natural and Technical Sciences
\yr 2018
\vol 23
\issue 123
\pages 524--530
\mathnet{http://mi.mathnet.ru/vtamu54}
\crossref{https://doi.org/10.20310/1810-0198-2018-23-123-524-530}
\elib{https://elibrary.ru/item.asp?id=36452702}
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