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Fractional Derivatives and Their Applications

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The theory of fractional calculus (FC) is a useful mathematical tool in many applied sciences. Nevertheless, only in the last decades researchers were motivated for the adoption of the FC concepts. There are several reasons for this state of affairs, namely the co-existence of different definitions and interpretations, and the necessity of approximation methods for the real time calculation of fractional derivatives (FDs). (Partial version retrieved from an article of the same author: Fractional derivatives: probability interpretation and frequency response of rational approximations)

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Fractional calculus Fractional derivatives

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