2026 J. A. Tenreiro Machado: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	Current World Ranking	National Ranking	Current National Ranking	Publications	Citations
Mathematics	89	79	64	1	1	786	36256
Electronics and Electrical Engineering	72	795	758	3	3	634	24943

Research.com Recognitions

2026 - Research.com Electronics and Electrical Engineering in Portugal Leader Award
2026 - Research.com Mathematics in Portugal Leader Award
2025 - Research.com Electronics and Electrical Engineering in Portugal Leader Award
2025 - Research.com Mathematics in Portugal Leader Award
2022 - Research.com Engineering and Technology in Portugal Leader Award

Overview

J. A. Tenreiro Machado is affiliated with the Polytechnic Institute of Porto in Portugal and has a significant body of research contributions primarily in the fields of Mathematics and Engineering. Their work covers numerous subfields including Modeling and Simulation, Control and Systems Engineering, Numerical Analysis, Statistical and Nonlinear Physics, and Mechanics of Materials.

The main topics addressed in their research focus on Fractional Differential Equations Solutions, Advanced Control Systems Design, Iterative Methods for Nonlinear Equations, Numerical methods in engineering, Differential Equations and Numerical Methods, Chaos control and synchronization, and Complex Systems and Time Series Analysis.

Tenreiro Machado has published recent papers such as:

"Traveling wave solutions to nonlinear directional couplers by modified Kudryashov method" (2020) in Physica Scripta
"Trends, directions for further research, and some open problems of fractional calculus" (2022) in Nonlinear Dynamics
"The recovery of global stock markets indices after impacts due to pandemics" (2020) in Research in International Business and Finance
"Design of multi innovation fractional LMS algorithm for parameter estimation of input nonlinear control autoregressive systems" (2020) in Applied Mathematical Modelling
"A novel color image encryption algorithm based on a fractional-order discrete chaotic neural network and DNA sequence operations" (2020) in Frontiers of Information Technology & Electronic Engineering

Frequent coauthors collaborating with Tenreiro Machado include António M. Lopes, Z. Avazzadeh, O. Nikan, Hossein Hassani, and Alireza Alfi.

The scientist has contributed extensively to several publication venues, with the most frequent being Mathematics, Nonlinear Dynamics, Applied Mathematical Modelling, Communications in Nonlinear Science and Numerical Simulation, and Mathematical Methods in the Applied Sciences.

Regarding book publications, Tenreiro Machado has contributed to titles released by Springer Nature and Springer International Publishing, including:

"Advances in Design, Simulation and Manufacturing IV" (2021)
"Innovations in Industrial Engineering II" (2022)
"Advances in Manufacturing III" (2022)
"Mathematical Topics on Modelling Complex Systems" (2022)
"Numerical Solutions of Realistic Nonlinear Phenomena" (2020)
"Mathematical Methods in Modern Complexity Science" (2022)
"Advances in Nonlinear Dynamics" (2022)

Best Publications

Advances in Fractional Calculus

Jocelyn Sabatier;Om Prakash Agrawal;J. A. Tenreiro Machado

2731
Citations
Recent history of fractional calculus

J. A. Tenreiro Machado;Virginia Kiryakova;Francesco Mainardi

1821
Citations
Advances in Fractional Calculus: Theoretical Developments and Applications in Physics and Engineering

J. Sabatier;O. P. Agrawal;J. A. Tenreiro Machado

1486
Citations
Fractional Dynamics and Control

Dumitru Baleanu;Jos Antnio Tenreiro Machado;Albert C. J. Luo

911
Citations
New Trends in Nanotechnology and Fractional Calculus Applications

Dumitru Baleanu;Ziya B. Guvenc;J. A. Tenreiro Machado

845
Citations
The role of fractional calculus in modeling biological phenomena: A review

Clara-Mihaela Ionescu;A. Lopes;Dana Copot;J. A. T. Machado

697
Citations
A Review of Definitions for Fractional Derivatives and Integral

Edmundo Capelas de Oliveira;José António Tenreiro Machado

624
Citations
Towards the development of intelligent transportation systems

L. Figueiredo;I. Jesus;J.A.T. Machado;J.R. Ferreira

602
Citations
What is a fractional derivative

Manuel D. Ortigueira;J.A. Tenreiro Machado

571
Citations
Analysis and design of fractional-order digital control systems

J. A. Tenreiro Machado

561
Citations
A review of definitions of fractional derivatives and other operators

G. Sales Teodoro;J.A. Tenreiro Machado;E. Capelas de Oliveira

485
Citations
Some Applications of Fractional Calculus in Engineering

J. A. Tenreiro Machado;Manuel F. Silva;Ramiro S. Barbosa;Isabel S. Jesus

393
Citations
Tuning of PID Controllers Based on Bode's Ideal Transfer Function

Ramiro S. Barbosa;J. A. Tenreiro Machado;Isabel M. Ferreira

381
Citations
Fractional Order Calculus: Basic Concepts and Engineering Applications

Ricardo Enrique Gutiérrez;João Maurício Rosário;José Tenreiro Machado

335
Citations
Discrete-time fractional-order controllers

J. A. Tenreiro Machado

315
Citations
A NEW FRACTIONAL DERIVATIVE WITHOUT SINGULAR KERNEL Application to the Modelling of the Steady Heat Flow

Xiao-Jun Yang;Hari M. Srivastava;J. A. Tenreiro Machado

303
Citations
Development of fractional order capacitors based on electrolyte processes

Isabel S. Jesus;J. A. Tenreiro Machado

291
Citations
Particle swarm optimization with fractional-order velocity

E. J. Solteiro Pires;J. A. Tenreiro Machado;P. B. de Moura Oliveira;J. Boaventura Cunha

281
Citations
A new fractional operator of variable order: Application in the description of anomalous diffusion

Xiao-Jun Yang;J.A. Tenreiro Machado

263
Citations
On exact traveling-wave solutions for local fractional Korteweg-de Vries equation.

Xiao-Jun Yang;J. A. Tenreiro Machado;Dumitru Baleanu;Carlo Cattani

252
Citations

Frequent Co-Authors

António M. Lopes University of Porto

Manuel Silva University of Zaragoza

Dumitru Baleanu Lebanese American University

Xiao-Jun Yang China University of Mining and Technology

Manuel Duarte Ortigueira Universidade Nova de Lisboa

Alireza Alfi Shahrood University of Technology

Imre J. Rudas Óbuda University

Carlo Cattani Tuscia University

Hari M. Srivastava University of Victoria

Ali H. Bhrawy Beni-Suef University

External Links

Personal website of J. A. Tenreiro Machado Google Scholar page

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