A review of definitions of fractional derivatives and other operators
GS Teodoro, JAT Machado, EC De Oliveira - Journal of Computational …, 2019 - Elsevier
Given the increasing number of proposals and definitions of operators in the scope of
fractional calculus, it is important to introduce a systematic classification. Nonetheless, many …
fractional calculus, it is important to introduce a systematic classification. Nonetheless, many …
On the fractional signals and systems
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 …
is done in this paper. A coherent approach to the fractional derivative is presented, leading …
[图书][B] Fractional calculus and waves in linear viscoelasticity: an introduction to mathematical models
F Mainardi - 2022 - books.google.com
Fractional Calculus and Waves in Linear Viscoelasticity (Second Edition) is a self-contained
treatment of the mathematical theory of linear (uni-axial) viscoelasticity (constitutive equation …
treatment of the mathematical theory of linear (uni-axial) viscoelasticity (constitutive equation …
Riesz potential operators and inverses via fractional centred derivatives
MD Ortigueira - International Journal of Mathematics and …, 2006 - Wiley Online Library
Fractional centred differences and derivatives definitions are proposed, generalizing to real
orders the existing ones valid for even and odd positive integer orders. For each one …
orders the existing ones valid for even and odd positive integer orders. For each one …
An introduction to the fractional continuous-time linear systems: the 21st century systems
MD Ortigueira - IEEE Circuits and Systems Magazine, 2008 - ieeexplore.ieee.org
A brief introduction to the fractional continuous-time linear systems is presented. It will be
done without needing a deep study of the fractional derivatives. We will show that the …
done without needing a deep study of the fractional derivatives. We will show that the …
Statistical iterative reconstruction using adaptive fractional order regularization
In order to reduce the radiation dose of the X-ray computed tomography (CT), low-dose CT
has drawn much attention in both clinical and industrial fields. A fractional order model …
has drawn much attention in both clinical and industrial fields. A fractional order model …
[HTML][HTML] 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 …
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 book illustrates the theoretical results of fractional derivatives via applications in signals
and systems, covering continuous and discrete derivatives, and the corresponding linear …
and systems, covering continuous and discrete derivatives, and the corresponding linear …
Parallel-type fractional zero-phase filtering for ECG signal denoising
J Wang, Y Ye, X Pan, X Gao - Biomedical Signal Processing and Control, 2015 - Elsevier
In this paper, a parallel-type fractional zero-phase filtering technique based on the center
Grünwald–Letnikov differintegrator is proposed. We first present a left and a right Grünwald …
Grünwald–Letnikov differintegrator is proposed. We first present a left and a right Grünwald …