Which Derivative?

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 rea...

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Bibliographic Details
Main Authors: Manuel Ortigueira, José Machado
Format: Article
Language:English
Published: MDPI AG 2017-07-01
Series:Fractal and Fractional
Subjects:
Online Access:https://www.mdpi.com/2504-3110/1/1/3
Description
Summary: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.
ISSN:2504-3110