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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2019, Volume 59, Number 2, Pages 185–202
DOI: https://doi.org/10.1134/S0044466919020054 (Mi zvmmf10827) 		 
This article is cited in 20 scientific papers (total in 20 papers)

Numerical analysis of initial-boundary value problem for a Sobolev-type equation with a fractional-order time derivative

M. KH. Beshtokov

Institute of Applied Mathematics and Automation, Kabardino-Balkarian Scientific Center, Russian Academy of Sciences, Nalchik, Kabardino-Balkarian Republic, 360004 Russia
Citations (20)
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DOI: https://doi.org/10.1134/S0044466919020054
Abstract: The paper is concerned with initial-boundary value problems for a Sobolev-type equation with a Gerasimov–Caputo fractional derivative with memory effect. A priori estimates of the solutions are obtained in the differential and difference forms, which imply their uniqueness and stability with respect to the initial data and the right-hand side, as well as the convergence of the solution of the difference problem to the solution of the differential problem.
Key words: boundary value problems, a priori estimate, Sobolev-type equation, fractional-order differential equation, Gerasimov–Caputo fractional derivative, equations with memory.
Received: 13.01.2018
Revised: 18.08.2018
English version:
Computational Mathematics and Mathematical Physics, 2019, Volume 59, Issue 2, Pages 175–192
DOI: https://doi.org/10.1134/S0965542519020052
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: M. KH. Beshtokov, “Numerical analysis of initial-boundary value problem for a Sobolev-type equation with a fractional-order time derivative”, Zh. Vychisl. Mat. Mat. Fiz., 59:2 (2019), 185–202; Comput. Math. Math. Phys., 59:2 (2019), 175–192
Citation in format AMSBIB
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    • This publication is cited in the following 20 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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    References:24
     
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