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  • Portugal

Accepting PhD Students

  • 2002 Citations
  • 22 h-Index
1984 …2019

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Research Output at NOVA

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Article
2019

Fractional derivatives: The perspective of system theory

Ortigueira, M. D. & Machado, J. T., 5 Feb 2019, In : Mathematics. 7, 2, 150.

Research output: Contribution to journalArticle

Open Access
File
9 Citations (Scopus)

On the Numerical Computation of the Mittag-Leffler Function

Ortigueira, M. D., Lopes, A. M. & Tenreiro Machado, J., Oct 2019, In : International Journal of Nonlinear Sciences and Numerical Simulation. 20, 6, p. 725-736

Research output: Contribution to journalArticle

1 Citation (Scopus)

Variable order fractional systems

Ortigueira, M. D., Valério, D. & Machado, J. T., 15 Jun 2019, In : Communications In Nonlinear Science And Numerical Simulation. 71, p. 231-243 13 p.

Research output: Contribution to journalArticle

15 Citations (Scopus)
2018

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

Open Access
1 Citation (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
5 Citations (Scopus)

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

Open Access
File
1 Citation (Scopus)

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

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

14 Citations (Scopus)
2017

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

9 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
4 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

4 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

3 Citations (Scopus)
2016

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

4 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
3 Citations (Scopus)

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

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

9 Citations (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

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
2 Citations (Scopus)
2015

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

8 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

36 Citations (Scopus)

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

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

21 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

10 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

152 Citations (Scopus)
2014
4 Citations (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

1 Citation (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

5 Citations (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

1 Citation (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

29 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

7 Citations (Scopus)
2013
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 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
10 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
24 Citations (Scopus)

Sleep Spindles Detection: a Mixed Method using STFT and WMSD

Batista, A. M. G., Ortigueira, M. D. & DEE Group Author, 1 Jan 2012, In : International Journal Of Bioelectromagnetism. 14, 4, p. 229-233

Research output: Contribution to journalArticle

The incremental ratio based causal Fractional Calculus

Ortigueira, M. D., 1 Apr 2012, In : International Journal of Bifurcation and Chaos. 22, 4, p. 9 pages

Research output: Contribution to journalArticle

Open Access
14 Citations (Scopus)
2011
Open Access
12 Citations (Scopus)
14 Citations (Scopus)

On the fractional signals and systems

Ortigueira, M. D. & DEE Group Author, 1 Jan 2011, In : Signal Processing. 91, 3, p. 350-371

Research output: Contribution to journalArticle

Open Access
171 Citations (Scopus)
2010

On the Estimation of the Autocorrelation Function

Ortigueira, M. D. & DEE Group Author, 1 Jan 2010, In : Discussiones Mathematicae: Probability and Statistics. 38, NA, p. 85-97

Research output: Contribution to journalArticle

On the Fractional Linear Scale Invariant Systems

Ortigueira, M. D. & DEE Group Author, 1 Jan 2010, In : Ieee Transactions On Signal Processing. 58, 12, p. 6406-6410

Research output: Contribution to journalArticle

Open Access
6 Citations (Scopus)

System initial conditions vs derivative initial conditions

Coito, F. J. A. V. D., Ortigueira, M. D. & DEE Group Author, 1 Jan 2010, In : Computers & Mathematics With Applications. 59, 5, p. 1782-1789

Research output: Contribution to journalArticle

Open Access
32 Citations (Scopus)

The fractional quantum derivative and its integral representations

Ortigueira, M. D. & DEE Group Author, 1 Jan 2010, In : Communications In Nonlinear Science And Numerical Simulation. 15, 4, p. 956-962

Research output: Contribution to journalArticle

Open Access
14 Citations (Scopus)
2009

Comments on “Modeling fractional stochastic systems as non-random fractional dynamics driven Brownian motions”

Ortigueira, M. D. & DEE Group Author, 1 Jan 2009, In : Applied Mathematical Modelling. 33, 5, p. 2534-2537

Research output: Contribution to journalArticle

Open Access
7 Citations (Scopus)
29 Citations (Scopus)
2008

An introduction to the fractional continuous-time linear systems: The 21st century systems

Ortigueira, M. D., Sep 2008, In : IEEE Circuits and Systems Magazine. 8, 3, p. 19-26 8 p., 4609961.

Research output: Contribution to journalArticle

153 Citations (Scopus)

Fractional central differences and derivatives

Ortigueira, M. D., Sep 2008, In : JOURNAL OF VIBRATION AND CONTROL. 14, 9-10, p. 1255-1266 12 p.

Research output: Contribution to journalArticle

49 Citations (Scopus)

Identifying a transfer function from a frequency response

Valério, D., Ortigueira, M. D. & da Costa, J. S., Apr 2008, In : Journal Of Computational And Nonlinear Dynamics. 3, 2, 021207.

Research output: Contribution to journalArticle

54 Citations (Scopus)