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Avtomatika i Telemekhanika, 2013, Issue 4, Pages 3–42 (Mi at4973)  
This article is cited in 42 scientific papers (total in 42 papers)

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Fractional integro-differential calculus and its control-theoretical applications. I. Mathematical fundamentals and the problem of interpretation

A. G. Butkovskiia, S. S. Postnova, E. A. Postnovaab

a Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia
b Moscow State University, Moscow, Russia
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Abstract: The review is devoted to using the fractional integro-differential calculus for description of the dynamics of various systems and control processes. Consideration was given to the basic notions of the fractional integro-differential calculus and the problem of interpretation of the fractional operators. Presented were examples of physical systems described in terms of the apparatus under consideration.
Presented by the member of Editorial Board: I. V. Roublev

Received: 05.03.2012
English version:
Automation and Remote Control, 2013, Volume 74, Issue 4, Pages 543–574
DOI: https://doi.org/10.1134/S0005117913040012
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. G. Butkovskii, S. S. Postnov, E. A. Postnova, “Fractional integro-differential calculus and its control-theoretical applications. I. Mathematical fundamentals and the problem of interpretation”, Avtomat. i Telemekh., 2013, no. 4, 3–42; Autom. Remote Control, 74:4 (2013), 543–574
Citation in format AMSBIB
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    Cycle of papers
    This publication is cited in the following 42 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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