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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2019, Volume 59, Number 11, Pages 1846–1855
DOI: https://doi.org/10.1134/S0044466919110127 (Mi zvmmf10978) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Application of the residual method in the right hand side reconstruction problem for a system of fractional order

P. G. Surkovab

a Institute of Mathematics and Mechanics, Ural Branch, Russian Academy of Sciences, Yekaterinburg, 620108 Russia
b Ural Federal University Named after the First President of Russia B.N. Yeltsyn, Yekaterinburg, 620002 Russia
Citations (3)
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DOI: https://doi.org/10.1134/S0044466919110127
Abstract: For a system of nonlinear fractional differential equations, the problem of reconstruction of an unknown input action is considered. An algorithm for its solution, stable to information interference and computational errors, is proposed. This algorithm is based on regularization methods and construction of the dynamic inversion theory. Dynamic reconstruction of the input action is carried out using the residual method, which does not require introducing auxiliary model systems.
Key words: fractional order systems, reconstruction, input action, error estimation.
Received: 15.05.2019
Revised: 15.05.2019
Accepted: 08.07.2019
English version:
Computational Mathematics and Mathematical Physics, 2019, Volume 59, Issue 11, Pages 1781–1790
DOI: https://doi.org/10.1134/S0965542519110113
Bibliographic databases:
Document Type: Article
UDC: 517.977
Language: Russian
Citation: P. G. Surkov, “Application of the residual method in the right hand side reconstruction problem for a system of fractional order”, Zh. Vychisl. Mat. Mat. Fiz., 59:11 (2019), 1846–1855; Comput. Math. Math. Phys., 59:11 (2019), 1781–1790
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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