• 1158 Citations
  • 15 h-Index
20022018
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Research Output 2002 2018

2018
23 Citations (Scopus)

A critical analysis of the Caputo–Fabrizio operator

Ortigueira, M. D. & Machado, J. T., 1 Jun 2018, In : Communications In Nonlinear Science And Numerical Simulation. 59, p. 608-611 4 p.

Research output: Contribution to journalComment/debate

Fractional
Derivatives
Derivative
Integer
Operator
2 Downloads (Pure)
Open Access
File
Mittag-Leffler Function
Laplace transforms
Laplace transform
Inverse Laplace Transform
Inverse transforms
1 Citation (Scopus)

Fractional model of the electrochemical capacitor relaxation phenomenon

Martynyuk, V., Ortigueira, M., Fedula, M. & Savenko, O., 1 Aug 2018, In : Bulletin of the Polish Academy of Sciences: Technical Sciences. 66, 4, p. 441-448 8 p.

Research output: Contribution to journalConference article

Open Access
electrochemical capacitors
Capacitors
Impulse response
impulses
Inverse transforms

Fractional signals and systems

Ortigueira, M. D., Machado, J. T. & Ostalczyk, P., 1 Aug 2018, In : Bulletin of the Polish Academy of Sciences: Technical Sciences. 66, 4, p. 385-388 4 p.

Research output: Contribution to journalEditorial

Open Access
1 Citation (Scopus)

Novel polarization index evaluation formula and fractional-order dynamics in electric motor insulation resistance

Gonzalez, E. A., Petráš, I. & Ortigueira, M. D., 26 Jun 2018, In : Fractional Calculus and Applied Analysis. 21, 3, p. 613-627 15 p.

Research output: Contribution to journalArticle

Electric Motors
Electric motors
Fractional Order
Insulation
Polarization
2 Citations (Scopus)

On fractional vectorial calculus

Ortigueira, M. D. & Machado, J. T., 1 Aug 2018, In : Bulletin of the Polish Academy of Sciences: Technical Sciences. 66, 4, p. 389-402 14 p.

Research output: Contribution to journalArticle

Open Access
differential operators
calculus
theorems
Derivatives

Operational method for the solution of ordinary differential equations using Hermite series

Bengochea, G., Verde–star, L. & Ortigueira, M., 1 Jan 2018, In : Mathematical Communications. 23, 2, p. 279-293 15 p.

Research output: Contribution to journalArticle

Hermite
Ordinary differential equations
Ordinary differential equation
Interval
Series

Operational Solution to the Nonlinear Klein-Gordon Equation

Bengochea, G., Verde-Star, L. & Ortigueira, M., 1 Jan 2018, In : Communications in Theoretical Physics. 69, 5, p. 506-512 7 p.

Research output: Contribution to journalArticle

integral transformations
Klein-Gordon equation
polynomials
expansion
approximation
7 Citations (Scopus)

Reducing bias in fractional order impedance estimation for lung function evaluation

Copot, D., De Keyser, R., Derom, E., Ortigueira, M. & Ionescu, C. M., 1 Jan 2018, In : Biomedical Signal Processing and Control. 39, p. 74-80 7 p.

Research output: Contribution to journalArticle

Pulmonary diseases
Function evaluation
Electric Impedance
Decomposition
Lung
2017
3 Citations (Scopus)

A new look at the fractionalization of the logistic equation

Ortigueira, M. & Bengochea, G., 1 Feb 2017, In : Physica A: Statistical Mechanics and its Applications. 467, p. 554-561 8 p.

Research output: Contribution to journalArticle

Logistic Equation
logistics
Fractional
Approximation
approximation
2 Citations (Scopus)

An operational approach to solve fractional continuous–time linear systems

Bengochea, G. & Ortigueira, M. D., Mar 2017, In : International Journal of Dynamics and Control. 5, 1, p. 61-71 11 p.

Research output: Contribution to journalArticle

Open Access
Transient Response
Continuous-time Systems
Transient analysis
Linear systems
Fractional
3 Citations (Scopus)

Fractional derivatives and periodic functions

Ortigueira, M. D., Machado, J. T. & Trujillo, J. J., 1 Mar 2017, In : International Journal of Dynamics and Control. 5, 1, p. 72-78 7 p.

Research output: Contribution to journalArticle

Fractional Derivative
Periodic Functions
Derivatives
Linear systems
Linear Systems
3 Citations (Scopus)

On the computation of the multidimensional Mittag-Leffler function

Ortigueira, M. D., Lopes, A. M. & Machado, J. A. T., 1 Dec 2017, In : Communications In Nonlinear Science And Numerical Simulation. 53, p. 278-287 10 p.

Research output: Contribution to journalArticle

Mittag-Leffler Function
Fractional-order System
Fast Fourier transform
Fast Fourier transforms
Linear systems
2016
3 Citations (Scopus)

A multichannel time–frequency and multi-wavelet toolbox for uterine electromyography processing and visualisation

Batista, A., Najdi, S., Godinho, D. M., Martins, C., Serrano, M. D. F. C., Ortigueira, M. D. & Rato, R. T., 1 Sep 2016, In : Computers in Biology and Medicine. 76, p. 178-191 14 p.

Research output: Contribution to journalArticle

Electromyography
Premature Obstetric Labor
Visualization
Personnel
Processing

An Improved Empirical Mode Decomposition for Long Signals

Ortigueira, M. D., 2016.

Research output: Contribution to conferencePaper

2 Citations (Scopus)

A recursive-operational approach with applications to linear differential systems

Bengochea, G. & Ortigueira, M., 1 Dec 2016, In : Journal of Applied Analysis. 22, 2, p. 131-139 9 p.

Research output: Contribution to journalArticle

Open Access
Differential System
Nonlinear systems
Nonlinear Systems
Linear Systems
Adomian Polynomials

A Sliding Window Empirical Mode Decomposition for Long Signals Algorithm

Ortigueira, M. D., Sep 2016, In : Sensors & Transducers Journal. 204, 9, p. 21-28 8 p.

Research output: Contribution to journalArticle

7 Citations (Scopus)

Exponentials and Laplace transforms on nonuniform time scales

Ortigueira, M. D., Torres, D. F. M. & Trujillo, J. J., 1 Oct 2016, In : Communications In Nonlinear Science And Numerical Simulation. 39, p. 252-270 19 p.

Research output: Contribution to journalArticle

Laplace transforms
Difference equations
Laplace transform
Difference equation
Continuous Time

On the computation of the Mittag-Leffler function

Ortigueira, M. D., 2016.

Research output: Contribution to conferencePaper

On the Singular Steady-State Output in Discrete-Time Linear Systems

Ortigueira, M. D., 2016.

Research output: Contribution to conferencePaper

1 Citation (Scopus)

Recursive-operational method to solve fractional linear systems

Bengochea, G. & Ortigueira, M., 2016, (Accepted/In press) In : Computers and Mathematics with Applications.

Research output: Contribution to journalArticle

Linear systems
Fractional
Linear Systems
Generalized Convolution
Fractional Derivative
2 Citations (Scopus)

Steady-state response of constant coefficient discrete-time differential systems

Ortigueira, M. D., Rivero, M. & Trujillo, J. J., 1 Jan 2016, In : Journal of King Saud University - Science. 28, 1, p. 29-32 4 p.

Research output: Contribution to journalArticle

Open Access
Eigenvalues and eigenfunctions
2015
5 Citations (Scopus)

A generalized power series and its application in the inversion of transfer functions

Ortigueira, M. D., Trujillo, J. J., Martynyuk, V. I. & Coito, F. J. A. V. D., Feb 2015, In : Signal Processing. 107, p. 238-245 8 p.

Research output: Contribution to journalArticle

Laplace transforms
Impulse response
Transfer functions
1 Citation (Scopus)

An alternative method for ARMA(p, q) model characterization of multipath fading channels

Mera, D., Tavares, G. & Ortigueira, M., 1 Jul 2015, 2015 IEEE 81st Vehicular Technology Conference, VTC Spring 2015 - Proceedings. Institute of Electrical and Electronics Engineers Inc., Vol. 2015. 7145681

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Multipath fading
Autoregressive Moving Average
Multipath
Fading Channels
Fading channels
3 Citations (Scopus)
Paley-Wiener Space
Fractional Order
Discretization
32 Citations (Scopus)

Discrete-time differential systems

Ortigueira, M. D., Coito, F. J. A. V. D. & Trujillo, J. J., Feb 2015, In : Signal Processing. 107, SI, p. 198-217 20 p.

Research output: Contribution to journalArticle

Derivatives
Laplace transforms
Signal theory
Z transforms
Sampling

Fractional model of an electrochemical capacitor

Martynyuk, V. & Ortigueira, M., 2015, In : Signal Processing. 107, p. 355-360 6 p.

Research output: Contribution to journalArticle

Capacitors
Impulse response
Inverse transforms
Laplace transforms
Transfer functions
21 Citations (Scopus)

Fractional signal processing and applications

Ortigueira, M. D., Ionescu, C. M., Machado, J. T. & Trujillo, J. J., Feb 2015, In : Signal Processing. 107, p. 197 1 p.

Research output: Contribution to journalEditorial

Open Access
15 Citations (Scopus)

From a generalised Helmholtz decomposition theorem to fractional Maxwell equations

Ortigueira, M. D., Rivero, M. & Trujillo, J. J., May 2015, In : Communications In Nonlinear Science And Numerical Simulation. 22, 1-3, p. 1036-1049 14 p.

Research output: Contribution to journalArticle

Helmholtz Decomposition
Curl
Decomposition Theorem
Maxwell equations
Fractional Order
8 Citations (Scopus)

Integer/fractional decomposition of the impulse response of fractional linear systems

Ortigueira, M. D., Tenreiro Machado, J., Rivero, M. & Trujillo, J. J., 15 Apr 2015, In : Signal Processing. 114, p. 85-88 4 p., 5738.

Research output: Contribution to journalArticle

Impulse response
Linear systems
Poles
Decomposition
Data storage equipment

New results on fractional linear prediction

Ortigueira, M. D. & Matos, C. J. C., 31 Mar 2015, 2001 European Control Conference, ECC 2001. Institute of Electrical and Electronics Engineers Inc., p. 1752-1757 6 p. 7076174

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Interpolation
106 Citations (Scopus)

What is a fractional derivative?

Ortigueira, M. D. & Tenreiro Machado, J. A., Jul 2015, In : Journal of Computational Physics. 293, SI, p. 4-13 10 p.

Research output: Contribution to journalArticle

Riesz Potential
Fractional Derivative
Leibniz' rule
Derivatives
Riemann-Liouville Fractional Derivative
2014
4 Citations (Scopus)
Particular Solution
Ordinary differential equations
Eigenvalues and eigenfunctions
Eigenfunctions
Ordinary differential equation
1 Citation (Scopus)

Comments on “The fractional Laplace transform”

Ortigueira, M. D., 2014, In : Signal, Image And Video Processing. 8, 3, p. 489-490

Research output: Contribution to journalArticle

Laplace transforms
Fourier transforms
5 Citations (Scopus)

On the particular solution of constant coefficient fractional differential equations

Ortigueira, M. D., 19 Aug 2014, In : Applied Mathematics and Computation. 245, NA, p. 255-260

Research output: Contribution to journalArticle

eigenvectors
differential equations
coefficients
products
1 Citation (Scopus)

On the recursive solution to the normal equations: Some other results

Ortigueira, M. D., Mar 2014, In : Ieee Signal Processing Magazine. 31, 2, p. 140-142 3 p., 6739188.

Research output: Contribution to journalArticle

Normal Equations
Prediction Error
Autocorrelation
Recursion
Predictors
2 Citations (Scopus)

On the 'walking dead' derivatives: Riemann-Liouville and Caputo

Ortigueira, M. D., 25 Nov 2014, 2014 International Conference on Fractional Differentiation and Its Applications, ICFDA 2014. Institute of Electrical and Electronics Engineers Inc., 6967433

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Riemann-Liouville Derivative
Linear systems
Linear Systems
Caputo Derivative
Derivatives
26 Citations (Scopus)

Rhapsody in fractional

Machado, J. T., Lopes, A. M., Duarte, F. B. M., Ortigueira, M. D. & Rato, R. T., 2014, In : Fractional Calculus and Applied Analysis. 17, 4, p. 1188-1214

Research output: Contribution to journalArticle

Fractional
Fractional Fourier Transform
Discrete-time Linear Systems
Number system
Fractional Powers
4 Citations (Scopus)

Riesz potential versus fractional Laplacian

Ortigueira, M. D., Laleg-Kirati, T. M. & Machado, J. T., 1 Sep 2014, In : Journal of Statistical Mechanics: Theory and Experiment. stacks.iop.org/JSTAT/2014/P09032, NA, p. 1-11

Research output: Contribution to journalArticle

2013
6 Citations (Scopus)

A New Look into the Discrete-Time Fractional Calculus: Derivatives and Exponentials

Ortigueira, M. D., 1 Jan 2013, Fractional Differentiation and its Applications. p. 629-634

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Open Access
4 Citations (Scopus)

A New Look into the Discrete-Time Fractional Calculus: Transform and Linear Systems

Coito, F. J. A. V. D. & Ortigueira, M. D., 1 Jan 2013, Workshop on Fractional Differentiation and its Applications. p. 635-640

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Open Access
1 Citation (Scopus)

ARMA Modelling for Sleep Disorders Diagnose

Batista, A. M. G. & Ortigueira, M. D., 1 Jan 2013, IFIP Advances in Information and Communication Technology. Vol. 394. p. 271-278

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Open Access
Electroencephalography
Brain
Sleep
3 Citations (Scopus)

Observability and Controllability of Fractional Linear Dynamical Systems

Ortigueira, M. D., 1 Jan 2013, IFAC Joint Conference SSSC. p. 893-898

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Open Access
2012

An Automatic Sleep Spindle Detector based on WT, STFT and WMSD

Batista, A. M. G., Ortigueira, M. D. & DEE Group Author, 1 Jan 2012, In : Proceedings Of World Academy Of Science, Engineering And Technology. 68, NA, p. 2154-2157

Research output: Contribution to journalArticle

A New Approach to Rational Discrete-Time Approximations to Continuous-Time Fractional-Order Systems

Ortigueira, M. D. & DEE Group Author, 1 Jan 2012, IFIP Advances in Information and Communication Technology. Vol. 372. p. 251-258

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Open Access
9 Citations (Scopus)

A real regularised fractional derivative

Ortigueira, M. D. & DEE Group Author, 1 Jan 2012, In : Signal, Image And Video Processing. 6, SI3, p. 351-358

Research output: Contribution to journalArticle

Open Access

A Relation Between the Fractional Derivative and the Hilbert Transform

Ortigueira, M. D. & DEE Group Author, 1 Jan 2012, Mathmod - International Conference on Mathematical Modelling. p. 597-599

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Open Access
21 Citations (Scopus)

A unified approach to fractional derivatives

Ortigueira, M. D. & DEE Group Author, 1 Jan 2012, In : Communications In Nonlinear Science And Numerical Simulation. 17, 12, p. 5151-5157

Research output: Contribution to journalArticle

Open Access