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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



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