World's Best Scientists 2026 revealed!
Manuel Duarte Ortigueira

Manuel Duarte Ortigueira

D-Index & Metrics

Mathematics

D-Index
35
Citations
6716
World Ranking
2733
National Ranking
5

Overview

Manuel Duarte Ortigueira is affiliated with Universidade Nova de Lisboa in Portugal. Their research primarily spans the fields of Mathematics and Engineering, with a significant focus on Modeling and Simulation, Applied Mathematics, Control and Systems Engineering, Numerical Analysis, and Statistical and Nonlinear Physics.

The scientist has authored numerous publications totaling over ninety in Mathematics and more than thirty in Engineering. Research topics covered include:

  • Fractional Differential Equations Solutions
  • Advanced Control Systems Design
  • Mathematical functions and polynomials
  • Iterative Methods for Nonlinear Equations
  • Non-Invasive Vital Sign Monitoring
  • Nonlinear Waves and Solitons
  • Advanced Differential Equations and Dynamical Systems

Notable recent papers authored by Manuel Duarte Ortigueira include:

  • "Substantial, tempered, and shifted fractional derivatives: Three faces of a tetrahedron," 2021, Mathematical Methods in the Applied Sciences
  • "The 21st Century Systems: An Updated Vision of Continuous-Time Fractional Models," 2022, IEEE Circuits and Systems Magazine
  • "New discrete-time fractional derivatives based on the bilinear transformation: Definitions and properties," 2020, Journal of Advanced Research

Additional influential papers include work by co-authors such as "How Many Fractional Derivatives Are There?" published in 2022 by Mathematics and "Peak Detection and HRV Feature Evaluation on ECG and PPG Signals," 2022, in Symmetry.

Manuel Duarte Ortigueira frequently collaborates with several researchers across different projects. Frequent co-authors include Gabriel Bengochea, Arnaldo Batista, Filipa Esgalhado, Valentina Vassilenko, and Sara Russo.

The scientist's contributions have been published repeatedly in venues like Mathematics, Preprints.org, Fractal and Fractional, Symmetry, and Applied Sciences, which reflects a consistent focus on mathematical and applied scientific journals.

Best Publications

  • Fractional Calculus for Scientists and Engineers

    Manuel Duarte Ortigueira

  • What is a fractional derivative

    Manuel D. Ortigueira;J.A. Tenreiro Machado

  • On the HHT, its problems, and some solutions

    R.T Rato;Manuel Ortigueira;Arnaldo Batista

  • RIESZ POTENTIAL OPERATORS AND INVERSES VIA FRACTIONAL CENTRED DERIVATIVES

    Manuel Duarte Ortigueira

  • Review: On the fractional signals and systems

    Richard Magin;Manuel D. Ortigueira;Igor Podlubny;Juan Trujillo

  • An introduction to the fractional continuous-time linear systems: the 21st century systems

    M.D. Ortigueira

  • Editorial: fractional signal processing and applications

    Manuel Duarte Ortigueira;J. A. Tenreiro Machado

  • Fractional Central Differences and Derivatives

    Manuel Duarte Ortigueira

  • Fractional model of an electrochemical capacitor

    Valeriy Martynyuk;Manuel Duarte Ortigueira

  • Fractional signal processing and applications

    Manuel D. Ortigueira;Clara M. Ionescu;J. Tenreiro Machado;Juan J. Trujillo

  • Fractional calculus applications in signals and systems

    Manuel Duarte Ortigueira;J. A. Tenreiro Machado

  • Introduction to fractional linear systems. Part 1. Continuous-time case

    M.D. Ortigueira

  • Introduction to fractional linear systems. Part 2. Discrete-time case

    M.D. Ortigueira

  • A coherent approach to non-integer order derivatives

    Manuel Duarte Ortigueira

  • A critical analysis of the Caputo-Fabrizio operator

    Manuel Duarte Ortigueira;J. Tenreiro Machado

  • Variable order fractional systems

    Manuel Duarte Ortigueira;Duarte Valério;J. Tenreiro Machado

  • On the initial conditions in continuous-time fractional linear systems

    Manuel Duarte Ortigueira

  • How Many Fractional Derivatives Are There?

    Unknown

  • Which Derivative?

    Unknown

  • Discrete-time differential systems

    Manuel D. Ortigueira;Fernando J.V. Coito;Juan J. Trujillo

  • Identifying a Transfer Function From a Frequency Response

    Duarte Valério;Manuel Duarte Ortigueira;José Sá da Costa

  • Special Issue on Fractional signal Processing and applications

    Manuel Ortigueira;J. A. Machado

  • Editorial: Fractional signals and systems

    Manuel D. Ortigueira;J. A. Tenreiro Machado;Juan J. Trujillo;Blas M. Vinagre

Frequent Co-Authors

Juan J. Trujillo
Juan J. Trujillo University of La Laguna
J. A. Tenreiro Machado
J. A. Tenreiro Machado Polytechnic Institute of Porto
António M. Lopes
António M. Lopes University of Porto
Blas M. Vinagre
Blas M. Vinagre University of Extremadura
Ivo Petras
Ivo Petras Technical University of Košice
Delfim F. M. Torres
Delfim F. M. Torres University of Aveiro
Krishnan Balachandran
Krishnan Balachandran Bharathiar University

If you think any of the details on this page are incorrect, let us know.

Report an issue

We appreciate your kind effort to assist us to improve this page, it would be helpful providing us with as much detail as possible in the text box below:

Related Online Degrees & Career Pathways

For students pursuing Mathematics in the USA, exploring related online degrees can open diverse career opportunities. For instance, a year long MBA programs provide a strategic business perspective that complements mathematical skills, ideal for those interested in management or finance roles.

Additionally, many flexible programs allow students to transfer previous coursework, making it easier to build on existing credits. Understanding if can you transfer credits into an MBA program is essential for efficient degree planning and saving time and money.

Specialized fields like a masters in data analytics are increasingly popular among math graduates, blending statistical and computational expertise to meet demand in tech and business sectors.

For those looking for accessible entry points, resources listing the easiest MBA to get into can help identify programs with flexible admissions, allowing more students to advance their careers through further education.

Best Scientists Citing Manuel Duarte Ortigueira

Trending Scientists

Recently Published Articles