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Delfim F. M. Torres

Delfim F. M. Torres

University of Aveiro
Portugal

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Mathematics
Portugal
2026

D-Index & Metrics

Discipline name D-Index World Ranking Current World Ranking National Ranking Current National Ranking Publications Citations
Mathematics 72 247 209 2 2 536 18706

Delfim F. M. Torres publications per year

The chart shows the history of publications by Delfim F. M. Torres between 1997 and 2026, highlighting the no. of papers published in each year and offering an overview of the publication velocity of this scholar. Delfim F. M. Torres published across 30 years, from 1997 to 2026, averaging 20.5 papers a year. Output peaked at 44 publications in 2021. 17 of the 616 publications appeared in the last two years.

No. of publications
10 20 30 40
Bar chart. Horizontal axis: year, 1997 to 2026. Vertical axis: number of publications, 0 to 44. Peak 44 publications in 2021. 1997: 1 publication 1998: 0 publications 1999: 1 publication 2000: 1 publication 2001: 2 publications 2002: 3 publications 2003: 5 publications 2004: 12 publications 2005: 9 publications 2006: 15 publications 2007: 22 publications 2008: 29 publications 2009: 29 publications 2010: 26 publications 2011: 33 publications 2012: 38 publications 2013: 37 publications 2014: 22 publications 2015: 39 publications 2016: 19 publications 2017: 42 publications 2018: 31 publications 2019: 30 publications 2020: 21 publications 2021: 44 publications 2022: 31 publications 2023: 30 publications 2024: 27 publications 2025: 15 publications 2026: 2 publications
1997 2026

616 publications in total across all disciplines

View publications per year as a table
Delfim F. M. Torres: publications per year, 1997 to 2026
Year Publications
1997 1
1998 0
1999 1
2000 1
2001 2
2002 3
2003 5
2004 12
2005 9
2006 15
2007 22
2008 29
2009 29
2010 26
2011 33
2012 38
2013 37
2014 22
2015 39
2016 19
2017 42
2018 31
2019 30
2020 21
2021 44
2022 31
2023 30
2024 27
2025 15
2026 2
Total 616
Download as CSV

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.

No. of scientists
25 50 75 100
Bar chart with 100 bars. Horizontal axis: publications, 42–46 to 537+. Vertical axis: number of scientists, 0 to 112. Most scientists, 112, have 142–146 publications. The last bar groups every scientist with 537 publications or more. The highlighted bar, 532–536 publications, is where this scientist sits. 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 scientist 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientist 522–526 publications: 3 scientists 527–531 publications: 1 scientist 532–536 publications: 4 scientists 537+ publications: 100 scientists
42–46 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.

View publications distribution as a table
Number of Mathematics scientists by publication count, Research.com 2026 ranking edition. Based on 3,584 ranked scientists.
Publications Scientists This scientist
42–46 3
47–51 5
52–56 7
57–61 20
62–66 14
67–71 25
72–76 19
77–81 35
82–86 50
87–91 60
92–96 86
97–101 84
102–106 83
107–111 90
112–116 99
117–121 90
122–126 91
127–131 109
132–136 110
137–141 98
142–146 112
147–151 102
152–156 88
157–161 106
162–166 83
167–171 102
172–176 77
177–181 81
182–186 78
187–191 71
192–196 92
197–201 64
202–206 69
207–211 64
212–216 62
217–221 58
222–226 53
227–231 50
232–236 46
237–241 46
242–246 46
247–251 43
252–256 29
257–261 45
262–266 30
267–271 33
272–276 34
277–281 30
282–286 31
287–291 21
292–296 34
297–301 26
302–306 10
307–311 17
312–316 23
317–321 13
322–326 16
327–331 26
332–336 13
337–341 13
342–346 16
347–351 17
352–356 12
357–361 18
362–366 18
367–371 9
372–376 11
377–381 8
382–386 8
387–391 9
392–396 9
397–401 8
402–406 11
407–411 6
412–416 6
417–421 9
422–426 8
427–431 5
432–436 8
437–441 8
442–446 4
447–451 4
452–456 4
457–461 2
462–466 2
467–471 4
472–476 3
477–481 3
482–486 6
487–491 3
492–496 5
497–501 5
502–506 1
507–511 6
512–516 4
517–521 1
522–526 3
527–531 1
532–536 4 536
537+ 100
Download as CSV

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.

No. of scientists
50 100 150
Bar chart with 57 bars. Horizontal axis: D-Index, 30 to 86+. Vertical axis: number of scientists, 0 to 174. Most scientists, 174, have 30 D-Index. The last bar groups every scientist with 86 D-Index or more. The highlighted bar, 72 D-Index, is where this scientist sits. 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.

View D-Index distribution as a table
Number of Mathematics scientists by D-index, Research.com 2026 ranking edition. Based on 3,584 ranked scientists.
D-Index Scientists This scientist
30 174
31 151
32 174
33 117
34 136
35 127
36 145
37 153
38 150
39 150
40 138
41 136
42 93
43 108
44 115
45 112
46 103
47 75
48 59
49 67
50 60
51 57
52 59
53 62
54 60
55 50
56 42
57 54
58 50
59 42
60 41
61 35
62 40
63 21
64 31
65 27
66 29
67 19
68 25
69 17
70 18
71 12
72 14 72
73 13
74 18
75 9
76 11
77 10
78 9
79 16
80 12
81 10
82 5
83 5
84 13
85 6
86+ 99
Download as CSV

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

External Links

Personal website of Delfim F. M. Torres Google Scholar page

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Lebanese American University

Publications: 131

Thabet Abdeljawad

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Ricardo Almeida

Ricardo Almeida

University of Aveiro

Publications: 45

George A. Anastassiou

George A. Anastassiou

University of Memphis

Publications: 35

Juan J. Nieto

Juan J. Nieto

University of Santiago de Compostela

Publications: 26

Sotiris K. Ntouyas

Sotiris K. Ntouyas

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Publications: 26

Guo-Cheng Wu

Guo-Cheng Wu

Chongqing University of Posts and Telecommunications

Publications: 21

Christopher S. Goodrich

Christopher S. Goodrich

University of New South Wales

Publications: 21

JinRong Wang

JinRong Wang

Guizhou University

Publications: 20

Donal O'Regan

Donal O'Regan

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Publications: 20

Ravi P. Agarwal

Ravi P. Agarwal

Florida Institute of Technology

Publications: 18

J. A. Tenreiro Machado

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Publications: 18

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Bashir Ahmad

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Publications: 16

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Publications: 16

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Publications: 15

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