J. A. Tenreiro Machado

29.6k citations
829 papers · 24.2k · 8 hit papers · h-index 71

Impact in

Papers in

J. A. Tenreiro Machado

801 papers receiving 23.4k citations

J. A. Tenreiro Machado's Hit Papers

Trends, directions for further research, and some open problems of fractional calculus 2022 · 93 citations
930+5+10Years since publication4008001.2k

Peers

J. A. Tenreiro Machado
Comparison fields: 5 of 204
  • Modeling and Simulation 12.6k
  • Numerical Analysis 5.3k
  • Statistical and Nonlinear Physics 5.5k
  • Applied Mathematics 3.7k
  • Control and Systems Engineering 7.6k
Replace YangQuan Chen with:
YangQuan Chen United States
Shaher Momani Jordan
Omar Abu Arqub Jordan
Xiao‐Jun Yang China
Carlo Cattani Italy
Werner C. Rheinboldt United States
Poom Kumam Thailand
Kok Lay Teo Australia
Qiang Du United States
Eduardo D. Sontag United States
J. A. Tenreiro Machado relative to YangQuan Chen United States YangQuan Chen's profile →
Citations per field
00.5×1.5×
YangQuan Chen · 1×
Citations per year

Countries citing papers authored by J. A. Tenreiro Machado

Since Specialization
Citations

This map shows the geographic impact of J. A. Tenreiro Machado's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by J. A. Tenreiro Machado with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites J. A. Tenreiro Machado more than expected).

Fields of papers citing papers by J. A. Tenreiro Machado

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by J. A. Tenreiro Machado. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by J. A. Tenreiro Machado. The network helps show where J. A. Tenreiro Machado may publish in the future.

Co-authors

The 25 scholars most cited alongside J. A. Tenreiro Machado, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.

Border = papers with J. A. Tenreiro Machado Line = papers co-authored together J. A. Tenreiro Machado links everyone, so they are left out of the graph.

All Works

20 of 20 papers shown

Showing the 20 most-cited of 829 papers — load more, or switch the sort, to bring in the rest.

#Work
1
Recent history of fractional calculus
Hit paper breakdown →
20101345
2
The role of fractional calculus in modeling biological phenomena: A review
Hit paper breakdown →
2017557
3
A Review of Definitions for Fractional Derivatives and Integral
Hit paper breakdown →
2014449
4
What is a fractional derivative?
Hit paper breakdown →
2014374
5
A review of definitions of fractional derivatives and other operators
Hit paper breakdown →
2019365
6 1997335
7 2002331
8 2009276
9 2004256
10 2010239
11
A new fractional derivative without singular kernel: Application to the modelling of the steady heat flow
Hit paper breakdown →
2015227
12 2008222
13
Discrete-time fractional-order controllers
2001216
14
A new fractional operator of variable order: Application in the description of anomalous diffusion
Hit paper breakdown →
2017215
15 2016211
16 2010211
17 2013199
18 2017185
19 2014169
20 2008167

About J. A. Tenreiro Machado

J. A. Tenreiro Machado is a scholar working on Modeling and Simulation, Control and Systems Engineering, Numerical Analysis, Statistical and Nonlinear Physics and Artificial Intelligence, having authored 829 papers that have together received 24.2k indexed citations. Recurring topics across this work include Fractional Differential Equations Solutions (329 papers), Advanced Control Systems Design (200 papers), Iterative Methods for Nonlinear Equations (93 papers), Complex Systems and Time Series Analysis (75 papers), Robotic Mechanisms and Dynamics (73 papers), Chaos control and synchronization (67 papers), Metaheuristic Optimization Algorithms Research (44 papers) and Robot Manipulation and Learning (43 papers). The work is most often cited by research in Modeling and Simulation (12.6k citations), Numerical Analysis (5.3k citations), Statistical and Nonlinear Physics (5.5k citations), Applied Mathematics (3.7k citations) and Control and Systems Engineering (7.6k citations). J. A. Tenreiro Machado has collaborated with scholars based in Portugal, Iran and China. Frequent co-authors include António M. Lopes, Virginia Kiryakova, Xiao‐Jun Yang, Manuel Duarte Ortigueira, Francesco Mainardi, Isabel S. Jesus, Dumitru Bǎleanu, Ramiro S. Barbosa, Alexandra M. Galhano and E. Capelas de Oliveira. Their work appears in journals such as Nonlinear Dynamics, Communications in Nonlinear Science and Numerical Simulation, Journal of Vibration and Control, Fractional Calculus and Applied Analysis and Applied Mathematical Modelling.

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

Explore authors with similar magnitude of impact