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Chelyabinskiy Fiziko-Matematicheskiy Zhurnal, 2018, Volume 3, Issue 1, Pages 27–37
(Mi chfmj89)
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This article is cited in 7 scientific papers (total in 7 papers)
Mathematics
Initial and boundary value problems for ordinary differential equation of fractional order with delay
M. G. Mazhgikhova Institute of Applied Mathematics and Automation, Nalchik
Abstract:
We obtained the initial and boundary value problems for linear ordinary differential equation of fractional order with delay. The theorems of solution existence and uniqueness are proved for the investigated problems. The solution of the boundary value problem is written out in terms of the Green's function.
Keywords:
differential equation of fractional order, differential equation with delay, Green's function.
Received: 09.11.2017 Revised: 20.12.2017
Citation:
M. G. Mazhgikhova, “Initial and boundary value problems for ordinary differential equation of fractional order with delay”, Chelyab. Fiz.-Mat. Zh., 3:1 (2018), 27–37
Linking options:
https://www.mathnet.ru/eng/chfmj89 https://www.mathnet.ru/eng/chfmj/v3/i1/p27
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