Reviews

Automation and Remote Control

, Volume 74, Issue 4, pp 543-574

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

  • A. G. ButkovskiiAffiliated withTrapeznikov Institute of Control Sciences, Russian Academy of Sciences
  • , S. S. PostnovAffiliated withTrapeznikov Institute of Control Sciences, Russian Academy of Sciences
  • , E. A. PostnovaAffiliated withTrapeznikov Institute of Control Sciences, Russian Academy of SciencesMoscow State University

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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.