H-Index & Metrics Top Publications

H-Index & Metrics

Discipline name H-index Citations Publications World Ranking National Ranking
Mathematics H-index 60 Citations 12,067 348 World Ranking 257 National Ranking 2

Overview

What is he best known for?

The fields of study he is best known for:

  • Mathematical analysis
  • Algebra
  • Differential equation

Fractional calculus, Calculus of variations, Mathematical analysis, Optimal control and Applied mathematics are his primary areas of study. His study in Fractional calculus is interdisciplinary in nature, drawing from both Derivative, Fractional programming, Isoperimetric inequality, Order and Integer. The concepts of his Calculus of variations study are interwoven with issues in Legendre–Clebsch condition, Time-scale calculus, Euler–Lagrange equation, Type and Calculus.

His research integrates issues of Controllability and Derivative in his study of Mathematical analysis. He interconnects Vaccination, Numerical analysis and Pure mathematics, Corollary in the investigation of issues within Optimal control. His studies deal with areas such as State variable, Euler's formula, Left and right, Differential equation and Discrete equation as well as Applied mathematics.

His most cited work include:

  • Introduction to the Fractional Calculus of Variations (264 citations)
  • A formulation of Noether's theorem for fractional problems of the calculus of variations (246 citations)
  • Fractional conservation laws in optimal control theory (222 citations)

What are the main themes of his work throughout his whole career to date?

His main research concerns Applied mathematics, Optimal control, Fractional calculus, Mathematical analysis and Calculus of variations. His studies examine the connections between Applied mathematics and genetics, as well as such issues in Order, with regards to Integer. As part of one scientific family, Delfim F. M. Torres deals mainly with the area of Optimal control, narrowing it down to issues related to the Noether's theorem, and often Conservation law.

His Fractional calculus research integrates issues from Order, Pure mathematics, Isoperimetric inequality, Derivative and Variable. His work on Boundary value problem, Transversality and Fixed-point theorem as part of general Mathematical analysis study is frequently linked to Thermistor, therefore connecting diverse disciplines of science. His work deals with themes such as Time-scale calculus and Calculus, which intersect with Calculus of variations.

He most often published in these fields:

  • Applied mathematics (33.57%)
  • Optimal control (33.57%)
  • Fractional calculus (25.22%)

What were the highlights of his more recent work (between 2018-2021)?

  • Applied mathematics (33.57%)
  • Optimal control (33.57%)
  • Fractional calculus (25.22%)

In recent papers he was focusing on the following fields of study:

Delfim F. M. Torres spends much of his time researching Applied mathematics, Optimal control, Fractional calculus, Basic reproduction number and Mathematical optimization. The Applied mathematics study combines topics in areas such as Stability, Basis function, Algebraic equation, Nonlinear system and Order. His Optimal control research includes elements of Control variable, Control, State and Uniqueness.

His Fractional calculus research is multidisciplinary, incorporating elements of Class, Variable, Diffusion and Calculus of variations. His Basic reproduction number research includes themes of Equilibrium point and Statistics. His Mathematical optimization research incorporates elements of Dynamical system and Dynamical systems theory.

Between 2018 and 2021, his most popular works were:

  • Mathematical Modeling of COVID-19 Transmission Dynamics with a Case Study of Wuhan. (185 citations)
  • The Variable-Order Fractional Calculus of Variations (42 citations)
  • Direct transcription methods based on fractional integral approximation formulas for solving nonlinear fractional optimal control problems (34 citations)

In his most recent research, the most cited papers focused on:

  • Mathematical analysis
  • Algebra
  • Differential equation

His primary areas of investigation include Applied mathematics, Optimal control, Fractional calculus, Uniqueness and Transmission. His biological study spans a wide range of topics, including Order, Basic reproduction number, Stability and Nonlinear system. He combines subjects such as Calculus of variations, Integration by parts, Fixed-point theorem, Function and Hamilton–Jacobi–Bellman equation with his study of Order.

His Optimal control study integrates concerns from other disciplines, such as Actuarial science, Decision support system and Intensive care. His Fractional calculus study combines topics in areas such as Special functions, Linear system, Diffusion, Banach fixed-point theorem and Numerical analysis. His studies in Uniqueness integrate themes in fields like Laplace transform, Banach space and Time derivative.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Top Publications

Introduction to the Fractional Calculus of Variations

Agnieszka B. Malinowska;Delfim F. M. Torres.
(2012)

371 Citations

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

Gastão S.F. Frederico;Delfim F.M. Torres.
Journal of Mathematical Analysis and Applications (2007)

279 Citations

Fractional conservation laws in optimal control theory

Gastão S. F. Frederico;Delfim F. M. Torres.
Nonlinear Dynamics (2008)

264 Citations

Discrete-time fractional variational problems

Nuno R. O. Bastos;Rui A. C. Ferreira;Delfim F. M. Torres.
Signal Processing (2011)

257 Citations

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

Ricardo Almeida;Delfim F.M. Torres.
Communications in Nonlinear Science and Numerical Simulation (2011)

229 Citations

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.
Chaos Solitons & Fractals (2020)

228 Citations

Fractional Action-Like Variational Problems ∗

Rami Ahmad El-Nabulsi;Delfim F. M. Torres.
arXiv: Mathematical Physics (2008)

215 Citations

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

Cape Verde;Delfim F. M. Torres.
arXiv: Optimization and Control (2007)

194 Citations

Fractional actionlike variational problems

Rami Ahmad El-Nabulsi;Delfim F. M. Torres.
Journal of Mathematical Physics (2008)

192 Citations

Calculus of variations with fractional derivatives and fractional integrals

Ricardo Almeida;Delfim F.M. Torres.
Applied Mathematics Letters (2009)

189 Citations

Profile was last updated on December 6th, 2021.
Research.com Ranking is based on data retrieved from the Microsoft Academic Graph (MAG).
The ranking h-index is inferred from publications deemed to belong to the considered discipline.

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