, Volume 74, Issue 4, pp 543-574

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

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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.

Original Russian Text © A.G. Butkovskii, S.S. Postnov, E.A. Postnova, 2013, published in Avtomatika i Telemekhanika, 2013, No. 4, pp. 3–42.