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, Issue 4,Pages <nobr>3

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

A. G. Butkovskii^a, S. S. Postnov^a, E. A. Postnova^ab

^a Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia
^b Moscow State University, Moscow, Russia

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