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Delfim F. M. Torres

Delfim F. M. Torres

Award Badge
Mathematics
Portugal
2026

D-Index & Metrics

Mathematics

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

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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