Next Article in Journal
A Fractional Complex Permittivity Model of Media with Dielectric Relaxation
Previous Article in Journal
Fractional Definite Integral
Open AccessArticle

Which Derivative?

UNINOVA and DEE of Faculdade de Ciências e Tecnologia da UNL, Campus da FCT da UNL, Quinta da Torre, 2829–516 Caparica, Portugal
Department of Electrical Engineering, Institute of Engineering, Polytechnic of Porto, R. Dr. António Bernardino de Almeida, 431, 4249–015 Porto, Portugal
Author to whom correspondence should be addressed.
Fractal Fract 2017, 1(1), 3;
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
MDPI and ACS Style

Ortigueira, M.; Machado, J. Which Derivative? Fractal Fract 2017, 1, 3.

Show more citation formats Show less citations formats
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

Back to TopTop