World's Best Scientists 2026 revealed!
Manuel Duarte Ortigueira

Manuel Duarte Ortigueira

D-Index & Metrics

Mathematics

D-Index
35
Citations
6716
World Ranking
2734
National Ranking
5

Manuel Duarte Ortigueira publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Manuel Duarte Ortigueira sits on this spectrum.

42–46 publications: 3 scientists 47–51 publications: 5 scientists 52–56 publications: 7 scientists 57–61 publications: 20 scientists 62–66 publications: 14 scientists 67–71 publications: 25 scientists 72–76 publications: 19 scientists 77–81 publications: 35 scientists 82–86 publications: 50 scientists 87–91 publications: 60 scientists 92–96 publications: 86 scientists 97–101 publications: 84 scientists 102–106 publications: 83 scientists 107–111 publications: 90 scientists 112–116 publications: 99 scientists 117–121 publications: 90 scientists 122–126 publications: 91 scientists 127–131 publications: 109 scientists 132–136 publications: 110 scientists 137–141 publications: 98 scientists 142–146 publications: 112 scientists 147–151 publications: 102 scientists 152–156 publications: 88 scientists 157–161 publications: 106 scientists 162–166 publications: 83 scientists 167–171 publications: 102 scientists 172–176 publications: 77 scientists 177–181 publications: 81 scientists 182–186 publications: 78 scientists 187–191 publications: 71 scientists 192–196 publications: 92 scientists 197–201 publications: 64 scientists 202–206 publications: 69 scientists 207–211 publications: 64 scientists 212–216 publications: 62 scientists 217–221 publications: 58 scientists 222–226 publications: 53 scientists 227–231 publications: 50 scientists 232–236 publications: 46 scientists 237–241 publications: 46 scientists 242–246 publications: 46 scientists 247–251 publications: 43 scientists 252–256 publications: 29 scientists 257–261 publications: 45 scientists 262–266 publications: 30 scientists 267–271 publications: 33 scientists 272–276 publications: 34 scientists 277–281 publications: 30 scientists 282–286 publications: 31 scientists 287–291 publications: 21 scientists 292–296 publications: 34 scientists 297–301 publications: 26 scientists 302–306 publications: 10 scientists 307–311 publications: 17 scientists 312–316 publications: 23 scientists 317–321 publications: 13 scientists 322–326 publications: 16 scientists 327–331 publications: 26 scientists 332–336 publications: 13 scientists 337–341 publications: 13 scientists 342–346 publications: 16 scientists 347–351 publications: 17 scientists 352–356 publications: 12 scientists 357–361 publications: 18 scientists 362–366 publications: 18 scientists 367–371 publications: 9 scientists 372–376 publications: 11 scientists 377–381 publications: 8 scientists 382–386 publications: 8 scientists 387–391 publications: 9 scientists 392–396 publications: 9 scientists 397–401 publications: 8 scientists 402–406 publications: 11 scientists 407–411 publications: 6 scientists 412–416 publications: 6 scientists 417–421 publications: 9 scientists 422–426 publications: 8 scientists 427–431 publications: 5 scientists 432–436 publications: 8 scientists 437–441 publications: 8 scientists 442–446 publications: 4 scientists 447–451 publications: 4 scientists 452–456 publications: 4 scientists 457–461 publications: 2 scientists 462–466 publications: 2 scientists 467–471 publications: 4 scientists 472–476 publications: 3 scientists 477–481 publications: 3 scientists 482–486 publications: 6 scientists 487–491 publications: 3 scientists 492–496 publications: 5 scientists 497–501 publications: 5 scientists 502–506 publications: 1 scientists 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientists 522–526 publications: 3 scientists 527–531 publications: 1 scientists 532–536 publications: 4 scientists 537+ publications: 100 scientists
42 publications 537+

This scientist: 203 publications — 63rd percentile

63% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

Manuel Duarte Ortigueira D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Manuel Duarte Ortigueira sits on this spectrum.

30 D-Index: 174 scientists 31 D-Index: 151 scientists 32 D-Index: 174 scientists 33 D-Index: 117 scientists 34 D-Index: 136 scientists 35 D-Index: 127 scientists 36 D-Index: 145 scientists 37 D-Index: 153 scientists 38 D-Index: 150 scientists 39 D-Index: 150 scientists 40 D-Index: 138 scientists 41 D-Index: 136 scientists 42 D-Index: 93 scientists 43 D-Index: 108 scientists 44 D-Index: 115 scientists 45 D-Index: 112 scientists 46 D-Index: 103 scientists 47 D-Index: 75 scientists 48 D-Index: 59 scientists 49 D-Index: 67 scientists 50 D-Index: 60 scientists 51 D-Index: 57 scientists 52 D-Index: 59 scientists 53 D-Index: 62 scientists 54 D-Index: 60 scientists 55 D-Index: 50 scientists 56 D-Index: 42 scientists 57 D-Index: 54 scientists 58 D-Index: 50 scientists 59 D-Index: 42 scientists 60 D-Index: 41 scientists 61 D-Index: 35 scientists 62 D-Index: 40 scientists 63 D-Index: 21 scientists 64 D-Index: 31 scientists 65 D-Index: 27 scientists 66 D-Index: 29 scientists 67 D-Index: 19 scientists 68 D-Index: 25 scientists 69 D-Index: 17 scientists 70 D-Index: 18 scientists 71 D-Index: 12 scientists 72 D-Index: 14 scientists 73 D-Index: 13 scientists 74 D-Index: 18 scientists 75 D-Index: 9 scientists 76 D-Index: 11 scientists 77 D-Index: 10 scientists 78 D-Index: 9 scientists 79 D-Index: 16 scientists 80 D-Index: 12 scientists 81 D-Index: 10 scientists 82 D-Index: 5 scientists 83 D-Index: 5 scientists 84 D-Index: 13 scientists 85 D-Index: 6 scientists 86+ D-Index: 99 scientists
30 D-Index 86+

This scientist: 35 D-Index — 25th percentile

25% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

Overview

Manuel Duarte Ortigueira is affiliated with Universidade Nova de Lisboa in Portugal. Their research primarily spans the fields of Mathematics and Engineering, with a significant focus on Modeling and Simulation, Applied Mathematics, Control and Systems Engineering, Numerical Analysis, and Statistical and Nonlinear Physics.

The scientist has authored numerous publications totaling over ninety in Mathematics and more than thirty in Engineering. Research topics covered include:

  • Fractional Differential Equations Solutions
  • Advanced Control Systems Design
  • Mathematical functions and polynomials
  • Iterative Methods for Nonlinear Equations
  • Non-Invasive Vital Sign Monitoring
  • Nonlinear Waves and Solitons
  • Advanced Differential Equations and Dynamical Systems

Notable recent papers authored by Manuel Duarte Ortigueira include:

  • "Substantial, tempered, and shifted fractional derivatives: Three faces of a tetrahedron," 2021, Mathematical Methods in the Applied Sciences
  • "The 21st Century Systems: An Updated Vision of Continuous-Time Fractional Models," 2022, IEEE Circuits and Systems Magazine
  • "New discrete-time fractional derivatives based on the bilinear transformation: Definitions and properties," 2020, Journal of Advanced Research

Additional influential papers include work by co-authors such as "How Many Fractional Derivatives Are There?" published in 2022 by Mathematics and "Peak Detection and HRV Feature Evaluation on ECG and PPG Signals," 2022, in Symmetry.

Manuel Duarte Ortigueira frequently collaborates with several researchers across different projects. Frequent co-authors include Gabriel Bengochea, Arnaldo Batista, Filipa Esgalhado, Valentina Vassilenko, and Sara Russo.

The scientist's contributions have been published repeatedly in venues like Mathematics, Preprints.org, Fractal and Fractional, Symmetry, and Applied Sciences, which reflects a consistent focus on mathematical and applied scientific journals.

Best Publications

  • Fractional Calculus for Scientists and Engineers

    Manuel Duarte Ortigueira

  • What is a fractional derivative

    Manuel D. Ortigueira;J.A. Tenreiro Machado

  • On the HHT, its problems, and some solutions

    R.T Rato;Manuel Ortigueira;Arnaldo Batista

  • RIESZ POTENTIAL OPERATORS AND INVERSES VIA FRACTIONAL CENTRED DERIVATIVES

    Manuel Duarte Ortigueira

  • Review: On the fractional signals and systems

    Richard Magin;Manuel D. Ortigueira;Igor Podlubny;Juan Trujillo

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

    M.D. Ortigueira

  • Editorial: fractional signal processing and applications

    Manuel Duarte Ortigueira;J. A. Tenreiro Machado

  • Fractional Central Differences and Derivatives

    Manuel Duarte Ortigueira

  • Fractional model of an electrochemical capacitor

    Valeriy Martynyuk;Manuel Duarte Ortigueira

  • Fractional signal processing and applications

    Manuel D. Ortigueira;Clara M. Ionescu;J. Tenreiro Machado;Juan J. Trujillo

  • Fractional calculus applications in signals and systems

    Manuel Duarte Ortigueira;J. A. Tenreiro Machado

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

    M.D. Ortigueira

  • Introduction to fractional linear systems. Part 2. Discrete-time case

    M.D. Ortigueira

  • A coherent approach to non-integer order derivatives

    Manuel Duarte Ortigueira

  • A critical analysis of the Caputo-Fabrizio operator

    Manuel Duarte Ortigueira;J. Tenreiro Machado

  • Variable order fractional systems

    Manuel Duarte Ortigueira;Duarte Valério;J. Tenreiro Machado

  • On the initial conditions in continuous-time fractional linear systems

    Manuel Duarte Ortigueira

  • How Many Fractional Derivatives Are There?

    Unknown

  • Which Derivative?

    Unknown

  • Discrete-time differential systems

    Manuel D. Ortigueira;Fernando J.V. Coito;Juan J. Trujillo

  • Identifying a Transfer Function From a Frequency Response

    Duarte Valério;Manuel Duarte Ortigueira;José Sá da Costa

  • Special Issue on Fractional signal Processing and applications

    Manuel Ortigueira;J. A. Machado

  • Editorial: Fractional signals and systems

    Manuel D. Ortigueira;J. A. Tenreiro Machado;Juan J. Trujillo;Blas M. Vinagre

Frequent Co-Authors

Juan J. Trujillo
Juan J. Trujillo University of La Laguna
J. A. Tenreiro Machado
J. A. Tenreiro Machado Polytechnic Institute of Porto
António M. Lopes
António M. Lopes University of Porto
Blas M. Vinagre
Blas M. Vinagre University of Extremadura
Ivo Petras
Ivo Petras Technical University of Košice
Delfim F. M. Torres
Delfim F. M. Torres University of Aveiro
Krishnan Balachandran
Krishnan Balachandran Bharathiar University
Igor Podlubny
Igor Podlubny Technical University of Košice

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