On the fractional signals and systems

R Magin, MD Ortigueira, I Podlubny, J Trujillo - Signal Processing, 2011 - Elsevier
A look into fractional calculus and their applications from the signal processing point of view
is done in this paper. A coherent approach to the fractional derivative is presented, leading …

Which derivative?

M Ortigueira, J Machado - Fractal and Fractional, 2017 - mdpi.com
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 …

[图书][B] Fractional signals and systems

MD Ortigueira, D Valério - 2020 - books.google.com
The series is devoted to the publication of high-level monographs which cover progresses in
fractional calculus research in mathematics and applications in physics, mechanics …

[引用][C] Fractional calculus applications in signals and systems

MD Ortigueira, JAT Machado - Signal Processing, 2006 - dl.acm.org
Fractional calculus applications in signals and systems | Signal Processing skip to main content
ACM Digital Library home ACM home Google, Inc. (search) Advanced Search Browse About …

A coherent approach to non-integer order derivatives

MD Ortigueira - Signal Processing, 2006 - Elsevier
The relation showing that the Grünwald-Letnikov and generalised Cauchy derivatives are
equal is presented. This establishes a bridge between two different formulations and …

Transients of fractional-order integrator and derivatives

JC Trigeassou, N Maamri, J Sabatier… - Signal, Image and Video …, 2012 - Springer
Although fractional-order differentiation is generallyconsidered as the basis of fractional
calculus, we demonstrate in this paper that the real basis is in fact fractional-order …

A method for modelling and simulation of fractional systems

T Poinot, JC Trigeassou - Signal processing, 2003 - Elsevier
An original method for modelling and simulation of fractional systems is presented in this
article. The basic idea is to model the fractional system by a state-space representation …

[图书][B] Fractional calculus for scientists and engineers

MD Ortigueira - 2011 - books.google.com
Page 1 Manuel Duarte Ortigueira |Fractional Calculus for Scientists and Engineers Ø
Springer Page 2 Lecture Notes in Electrical Engineering Volume 84 For further volumes: http://www.springer.com/series/7818 …

Introduction to fractional linear systems. Part 1: Continuous-time case

MD Ortigueira - IEE Proceedings-Vision, Image and Signal Processing, 2000 - IET
In the paper, the class of continuous-time linear systems is enlarged with the inclusion of
fractional linear systems. These are systems described by fractional differential equations. It …

Fractional calculus: A mathematical tool from the past for present engineers [Past and present]

D Cafagna - IEEE Industrial Electronics Magazine, 2007 - ieeexplore.ieee.org
Fractional Calculus: A Mathematical Tool from the Past for Present Engineers Page 1 by
Donato Cafagna Past and Present The history of fractional calculus begins at the end of the …