Some applications of fractional order calculus. (English) Zbl 1220.80006

Summary: This paper presents some recent results in the area of application of fractional order system models. After the introduction to dynamic systems modelling with fractional order calculus, the paper concentrates on the possibilities of using this approach to the modelling of real-world phenomena. Two examples of such systems are considered. The first one is the ultracapacitor where fractional order models turn out to be more precise in the wider range of frequencies than other models used so far. Another example is the beam heating problem where again the fractional order model allows to obtain better modelling accuracy. The theoretical models are tested experimentally and the results of these experiments are described in the paper.


80A20 Heat and mass transfer, heat flow (MSC2010)
26A33 Fractional derivatives and integrals


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