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Fractional Definite Integral
Open AccessArticle

Which Derivative?

1
UNINOVA and DEE of Faculdade de Ciências e Tecnologia da UNL, Campus da FCT da UNL, Quinta da Torre, 2829–516 Caparica, Portugal
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Department of Electrical Engineering, Institute of Engineering, Polytechnic of Porto, R. Dr. António Bernardino de Almeida, 431, 4249–015 Porto, Portugal
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Author to whom correspondence should be addressed.
Fractal Fract 2017, 1(1), 3; https://doi.org/10.3390/fractalfract1010003
Received: 6 July 2017 / Revised: 22 July 2017 / Accepted: 23 July 2017 / Published: 25 July 2017
The actual state of interplay between Fractional Calculus, Signal Processing, and Applied Sciences is discussed in this paper. A framework for compatible integer and fractional derivatives/integrals in signals and systems context is described. It is shown how suitable fractional formulations are really extensions of the integer order definitions currently used in Signal Processing. The particular case of fractional linear systems is considered and the problem of initial conditions is tackled. View Full-Text
Keywords: fractional derivatives; compatibility; fractional linear systems fractional derivatives; compatibility; fractional linear systems
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Ortigueira, M.; Machado, J. Which Derivative? Fractal Fract 2017, 1, 3.

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