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JOURNALS
// Russian Universities Reports. Mathematics
// Archive
Tambov University Reports. Series: Natural and Technical Sciences,
2018
Volume 23,
Issue 123,
Pages
524–530
(Mi vtamu54)
Scientific articles
On the formal representation of solutions of differential equations of fractional order
G. Petrosyan
Voronezh State Pedagogical University
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.
UDC:
517.92
Received:
20.04.2018
DOI:
10.20310/1810-0198-2018-23-123-524-530
Fulltext:
PDF file (119 kB)
References
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Steklov Math. Inst. of RAS
, 2024