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Delfim F. M. Torres

Delfim F. M. Torres

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Mathematics
Portugal
2026

D-Index & Metrics

Mathematics

D-Index
72
Citations
18706
World Ranking
247
National Ranking
2

Delfim F. M. Torres 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 Delfim F. M. Torres 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: 536 publications — 97th percentile

97% of scientists in this discipline score the same or lower.

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

Delfim F. M. Torres 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 Delfim F. M. Torres 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: 72 D-Index — 93rd percentile

93% 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 Mathematics in Portugal Leader Award
  • 2025 - Research.com Mathematics in Portugal Leader Award

Overview

Delfim F. M. Torres is affiliated with the University of Aveiro in Portugal and has a research focus primarily in the fields of Mathematics and Medicine. Their work encompasses a range of subfields, including Modeling and Simulation, Public Health, Environmental and Occupational Health, Applied Mathematics, Control and Systems Engineering, and Numerical Analysis.

The scientist has contributed extensively to several main topics of research:

  • Fractional Differential Equations Solutions
  • Mathematical and Theoretical Epidemiology and Ecology Models
  • Nonlinear Differential Equations Analysis
  • COVID-19 Epidemiological Studies
  • Stability and Controllability of Differential Equations
  • Evolution and Genetic Dynamics
  • Numerical Methods for Differential Equations

Delfim F. M. Torres has a significant publication record in various academic venues, with frequent contributions to:

  • arXiv (Cornell University)
  • Axioms
  • Chaos Solitons & Fractals
  • Mathematics
  • Fractal and Fractional

Their recent papers include:

  • "Mathematical modeling of COVID-19 transmission dynamics with a case study of Wuhan" (2020) published in Chaos Solitons & Fractals
  • "Fractional model of COVID-19 applied to Galicia, Spain and Portugal" (2021) published in Chaos Solitons & Fractals
  • "Lyapunov functions for fractional-order systems in biology: Methods and applications" (2020) published in Chaos Solitons & Fractals
  • "Complex network model for COVID-19: Human behavior, pseudo-periodic solutions and multiple epidemic waves" (2021) published in Journal of Mathematical Analysis and Applications
  • "Control of COVID-19 dynamics through a fractional-order model" (2021) published in Alexandria Engineering Journal

The scientist has authored book publications with Springer International Publishing, including the book titled Analysis of Infectious Disease Problems (Covid-19) and Their Global Impact (2021).

Delfim collaborates frequently with several co-authors, including:

  • Houssine Zine
  • Cristiana J. Silva
  • Faïçal Ndaïrou
  • El Mehdi Lotfi
  • Noura Yousfi

Best Publications

  • Mathematical Modeling of COVID-19 Transmission Dynamics with a Case Study of Wuhan.

    Faïçal Ndaïrou;Faïçal Ndaïrou;Iván Area;Juan J. Nieto;Delfim F.M. Torres

  • Introduction to the Fractional Calculus of Variations

    Agnieszka B. Malinowska;Delfim F. M. Torres

  • Fractional conservation laws in optimal control theory

    Gastão S. F. Frederico;Delfim F. M. Torres

  • A formulation of Noether's theorem for fractional problems of the calculus of variations

    Gastão S.F. Frederico;Delfim F.M. Torres

  • Discrete-time fractional variational problems

    Nuno R. O. Bastos;Rui A. C. Ferreira;Delfim F. M. Torres

  • Necessary and sufficient conditions for the fractional calculus of variations with Caputo derivatives

    Ricardo Almeida;Delfim F.M. Torres

  • Advanced Methods in the Fractional Calculus of Variations

    Agnieszka B. Malinowska;Tatiana Odzijewicz;Delfim F. M. Torres

  • Fractional Action-Like Variational Problems ∗

    Rami Ahmad El-Nabulsi;Delfim F. M. Torres

  • FRACTIONAL h-DIFFERENCE EQUATIONS ARISING FROM THE CALCULUS OF VARIATIONS

    A C Rui Ferreira;F M Delfim Torres

  • Vaccination models and optimal control strategies to dengue

    Helena Sofia Rodrigues;Helena Sofia Rodrigues;M. Teresa T. Monteiro;Delfim F.M. Torres

  • A Conformable Fractional Calculus on Arbitrary Time Scales

    Nadia Benkhettou;Salima Hassani;Delfim F.M. Torres

  • Calculus of variations with fractional derivatives and fractional integrals

    Ricardo Almeida;Delfim F.M. Torres

  • The Variable-Order Fractional Calculus of Variations

    Ricardo Almeida;Dina Tavares;Delfim F. M. Torres

  • Fractional actionlike variational problems

    Rami Ahmad El-Nabulsi;Delfim F. M. Torres

  • Fractional Optimal Control in the Sense of Caputo and the Fractional Noether's Theorem

    Cape Verde;Delfim F. M. Torres

  • A survey on fuzzy fractional differential and optimal control nonlocal evolution equations

    Ravi P. Agarwal;Dumitru Baleanu;Juan J. Nieto;Delfim F.M. Torres

  • Caputo derivatives of fractional variable order: Numerical approximations

    Dina Tavares;Dina Tavares;Ricardo Almeida;Delfim F. M. Torres

  • A fractional calculus of variations for multiple integrals with application to vibrating string

    Ricardo Almeida;Agnieszka B. Malinowska;Delfim F. M. Torres

  • Mathematical Modelling, Simulation, and Optimal Control of the 2014 Ebola Outbreak in West Africa

    Amira Rachah;Delfim F. M. Torres

  • NECESSARY OPTIMALITY CONDITIONS FOR FRACTIONAL DIFFERENCE PROBLEMS OF THE CALCULUS OF VARIATIONS

    Nuno R. O. Bastos;Rui A. C. Ferreira;Delfim F. M. Torres

  • Fractional Noether's theorem in the Riesz-Caputo sense

    Gastão S.F. Frederico;Delfim F.M. Torres

  • The calculus of variations and optimal control

    Ricardo Almeida;Shakoor Pooseh;Delfim F M Torres

Frequent Co-Authors

Ricardo Almeida
Ricardo Almeida University of Aveiro
Juan J. Nieto
Juan J. Nieto University of Santiago de Compostela
Emmanuel Trélat
Emmanuel Trélat Sorbonne University
Xiao-Jun Yang
Xiao-Jun Yang China University of Mining and Technology
Martin Bohner
Martin Bohner Missouri University of Science and Technology
Dumitru Baleanu
Dumitru Baleanu Lebanese American University
Hari M. Srivastava
Hari M. Srivastava University of Victoria
Esmail Babolian
Esmail Babolian Kharazmi University
Rathinasamy Sakthivel
Rathinasamy Sakthivel Bharathiar University
Thabet Abdeljawad
Thabet Abdeljawad Prince Sultan University

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