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JOURNALS // Vestnik KRAUNC. Fiziko-Matematicheskie Nauki // Archive

Vestnik KRAUNC. Fiz.-Mat. Nauki, 2021 Volume 37, Number 4, Pages 30–37 (Mi vkam506)

MATHEMATICS

Steklov problem of the first class for a fractional order delay differential equation

M. G. Mazhgikhova

Institute of Applied Mathematics and Automation of Kabardino-Balkar Scientific Center of RAS

Abstract: The solution to the Steklov problem with conditions of the first class for a linear delay differential equation with a Gerasimov-Caputo fractional derivative is obtained by Green function method. The existence and uniqueness theorem to the problem is proved.

Keywords: fractional differential equation, delay differential equation, Green function method, generalized Mittag-Leffler function.

UDC: 517.91

MSC: 34L99

DOI: 10.26117/2079-6641-2021-37-4-30-37



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