World's Best Scientists 2026 revealed!
J. A. Tenreiro Machado

J. A. Tenreiro Machado

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Electronics and Electrical Engineering
Portugal
2026
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Mathematics
Portugal
2026

D-Index & Metrics

Mathematics

D-Index
89
Citations
36256
World Ranking
79
National Ranking
1

Electronics and Electrical Engineering

D-Index
72
Citations
24943
World Ranking
795
National Ranking
3

J. A. Tenreiro Machado 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 J. A. Tenreiro Machado 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: 82 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: 786 publications — 99th percentile

99% of scientists in this discipline score the same or lower.

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

J. A. Tenreiro Machado 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 J. A. Tenreiro Machado 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: 137 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: 89 D-Index — 98th percentile

98% of scientists in this discipline score the same or lower.

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

Research.com Recognitions

  • 2026 - Research.com Electronics and Electrical Engineering in Portugal Leader Award
  • 2026 - Research.com Mathematics in Portugal Leader Award
  • 2025 - Research.com Electronics and Electrical Engineering in Portugal Leader Award
  • 2025 - Research.com Mathematics in Portugal Leader Award
  • 2022 - Research.com Engineering and Technology in Portugal Leader Award

Overview

J. A. Tenreiro Machado is affiliated with the Polytechnic Institute of Porto in Portugal and has a significant body of research contributions primarily in the fields of Mathematics and Engineering. Their work covers numerous subfields including Modeling and Simulation, Control and Systems Engineering, Numerical Analysis, Statistical and Nonlinear Physics, and Mechanics of Materials.

The main topics addressed in their research focus on Fractional Differential Equations Solutions, Advanced Control Systems Design, Iterative Methods for Nonlinear Equations, Numerical methods in engineering, Differential Equations and Numerical Methods, Chaos control and synchronization, and Complex Systems and Time Series Analysis.

Tenreiro Machado has published recent papers such as:

  • "Traveling wave solutions to nonlinear directional couplers by modified Kudryashov method" (2020) in Physica Scripta
  • "Trends, directions for further research, and some open problems of fractional calculus" (2022) in Nonlinear Dynamics
  • "The recovery of global stock markets indices after impacts due to pandemics" (2020) in Research in International Business and Finance
  • "Design of multi innovation fractional LMS algorithm for parameter estimation of input nonlinear control autoregressive systems" (2020) in Applied Mathematical Modelling
  • "A novel color image encryption algorithm based on a fractional-order discrete chaotic neural network and DNA sequence operations" (2020) in Frontiers of Information Technology & Electronic Engineering

Frequent coauthors collaborating with Tenreiro Machado include António M. Lopes, Z. Avazzadeh, O. Nikan, Hossein Hassani, and Alireza Alfi.

The scientist has contributed extensively to several publication venues, with the most frequent being Mathematics, Nonlinear Dynamics, Applied Mathematical Modelling, Communications in Nonlinear Science and Numerical Simulation, and Mathematical Methods in the Applied Sciences.

Regarding book publications, Tenreiro Machado has contributed to titles released by Springer Nature and Springer International Publishing, including:

  • "Advances in Design, Simulation and Manufacturing IV" (2021)
  • "Innovations in Industrial Engineering II" (2022)
  • "Advances in Manufacturing III" (2022)
  • "Mathematical Topics on Modelling Complex Systems" (2022)
  • "Numerical Solutions of Realistic Nonlinear Phenomena" (2020)
  • "Mathematical Methods in Modern Complexity Science" (2022)
  • "Advances in Nonlinear Dynamics" (2022)

Best Publications

  • Advances in Fractional Calculus

    Jocelyn Sabatier;Om Prakash Agrawal;J. A. Tenreiro Machado

  • Recent history of fractional calculus

    J. A. Tenreiro Machado;Virginia Kiryakova;Francesco Mainardi

  • Advances in Fractional Calculus: Theoretical Developments and Applications in Physics and Engineering

    J. Sabatier;O. P. Agrawal;J. A. Tenreiro Machado

  • Fractional Dynamics and Control

    Dumitru Baleanu;Jos Antnio Tenreiro Machado;Albert C. J. Luo

  • New Trends in Nanotechnology and Fractional Calculus Applications

    Dumitru Baleanu;Ziya B. Guvenc;J. A. Tenreiro Machado

  • The role of fractional calculus in modeling biological phenomena: A review

    Clara-Mihaela Ionescu;A. Lopes;Dana Copot;J. A. T. Machado

  • A Review of Definitions for Fractional Derivatives and Integral

    Edmundo Capelas de Oliveira;José António Tenreiro Machado

  • Towards the development of intelligent transportation systems

    L. Figueiredo;I. Jesus;J.A.T. Machado;J.R. Ferreira

  • What is a fractional derivative

    Manuel D. Ortigueira;J.A. Tenreiro Machado

  • Analysis and design of fractional-order digital control systems

    J. A. Tenreiro Machado

  • A review of definitions of fractional derivatives and other operators

    G. Sales Teodoro;J.A. Tenreiro Machado;E. Capelas de Oliveira

  • Some Applications of Fractional Calculus in Engineering

    J. A. Tenreiro Machado;Manuel F. Silva;Ramiro S. Barbosa;Isabel S. Jesus

  • Tuning of PID Controllers Based on Bode's Ideal Transfer Function

    Ramiro S. Barbosa;J. A. Tenreiro Machado;Isabel M. Ferreira

  • Fractional Order Calculus: Basic Concepts and Engineering Applications

    Ricardo Enrique Gutiérrez;João Maurício Rosário;José Tenreiro Machado

  • Discrete-time fractional-order controllers

    J. A. Tenreiro Machado

  • A NEW FRACTIONAL DERIVATIVE WITHOUT SINGULAR KERNEL Application to the Modelling of the Steady Heat Flow

    Xiao-Jun Yang;Hari M. Srivastava;J. A. Tenreiro Machado

  • Development of fractional order capacitors based on electrolyte processes

    Isabel S. Jesus;J. A. Tenreiro Machado

  • Particle swarm optimization with fractional-order velocity

    E. J. Solteiro Pires;J. A. Tenreiro Machado;P. B. de Moura Oliveira;J. Boaventura Cunha

  • A new fractional operator of variable order: Application in the description of anomalous diffusion

    Xiao-Jun Yang;J.A. Tenreiro Machado

  • On exact traveling-wave solutions for local fractional Korteweg-de Vries equation.

    Xiao-Jun Yang;J. A. Tenreiro Machado;Dumitru Baleanu;Carlo Cattani

Frequent Co-Authors

António M. Lopes
António M. Lopes University of Porto
Manuel Silva
Manuel Silva University of Zaragoza
Dumitru Baleanu
Dumitru Baleanu Lebanese American University
Xiao-Jun Yang
Xiao-Jun Yang China University of Mining and Technology
Manuel Duarte Ortigueira
Manuel Duarte Ortigueira Universidade Nova de Lisboa
Alireza Alfi
Alireza Alfi Shahrood University of Technology
Imre J. Rudas
Imre J. Rudas Óbuda University
Carlo Cattani
Carlo Cattani Tuscia University
Hari M. Srivastava
Hari M. Srivastava University of Victoria
Ali H. Bhrawy
Ali H. Bhrawy Beni-Suef University

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