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News of the Kabardin-Balkar scientific center of RAS, 2018, Issue 6-1, Pages 48–52
(Mi izkab70)
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This article is cited in 1 scientific paper (total in 1 paper)
COMPUTER SCIENCE. CALCULATION EQUIPMENT. MANAGEMENT
On the fundamental solution of an ordinary
differential equation with a continuous distributed
differentiation operator
B. I. Efendiev
Institute of Applied Mathematics and Automation –
branch of the FSBSE "Federal Scientific Center
"Kabardin-Balkar Scientific Center of the Russian Academy of Sciences", 360000, KBR, Nalchik, Shortanov street, 89 A
Abstract:
In this paper, we study an ordinary differential equation with a continuous distributed differentiation
operator. Fractional differentiation is understood in the sense of Riemann–Liouville. For the equation under consideration, a fundamental solution is constructed and the Cauchy problem is written in explicit
form.
Keywords:
fundamental solution, Cauchy problem, continuous distributed differentiation operator,
Riemann–Liouville fractional differentiation operator.
Received: 15.12.2018
Citation:
B. I. Efendiev, “On the fundamental solution of an ordinary
differential equation with a continuous distributed
differentiation operator”, News of the Kabardin-Balkar scientific center of RAS, 2018, no. 6-1, 48–52
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https://www.mathnet.ru/eng/izkab70 https://www.mathnet.ru/eng/izkab/y2018/i61/p48
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