| Advances in fractional calculus J Sabatier, OP Agrawal, JAT Machado Springer 4 (9), 2007 | 2989 | 2007 |
| Recent history of fractional calculus JT Machado, V Kiryakova, F Mainardi Communications in nonlinear science and numerical simulation 16 (3), 1140-1153, 2011 | 1808 | 2011 |
| Fractional dynamics and control D Baleanu, JAT Machado, ACJ Luo Springer Science & Business Media, 2011 | 961 | 2011 |
| New trends in nanotechnology and fractional calculus applications D Baleanu, ZB Güvenç, JAT Machado Springer 10, 978-990, 2010 | 918 | 2010 |
| Towards the development of intelligent transportation systems L Figueiredo, I Jesus, JAT Machado, JR Ferreira, JLM De Carvalho ITSC 2001. 2001 IEEE intelligent transportation systems. Proceedings (Cat …, 2001 | 677 | 2001 |
| A review of definitions for fractional derivatives and integral EC Oliveira, JA Machado Mathematical Problems in Engineering 2014, 1-7, 2014 | 649 | 2014 |
| The role of fractional calculus in modeling biological phenomena: A review C Ionescu, A Lopes, D Copot, JAT Machado, JHT Bates Communications in Nonlinear Science and Numerical Simulation 51, 141-159, 2017 | 614 | 2017 |
| Analysis and design of fractional-order digital control systems JAT Machado Systems Analysis Modelling Simulation 27 (2-3), 107-122, 1997 | 588 | 1997 |
| What is a fractional derivative? MD Ortigueira, JAT Machado Journal of computational Physics 293, 4-13, 2015 | 539 | 2015 |
| A review of definitions of fractional derivatives and other operators GS Teodoro, JAT Machado, EC De Oliveira Journal of Computational Physics 388, 195-208, 2019 | 416 | 2019 |
| Some applications of fractional calculus in engineering JA Tenreiro Machado, MF Silva, RS Barbosa, IS Jesus, CM Reis, ... Mathematical problems in engineering 2010 (1), 639801, 2010 | 388 | 2010 |
| Tuning of PID controllers based on Bode’s ideal transfer function RS Barbosa, JAT Machado, IM Ferreira Nonlinear dynamics 38, 305-321, 2004 | 380 | 2004 |
| Discrete-time fractional-order controllers JA Machado Fractional Calculus and Applied Analysis 4, 47-66, 2001 | 325 | 2001 |
| Fractional order calculus: basic concepts and engineering applications RE Gutierrez, JM Rosario, J Tenreiro Machado Mathematical problems in engineering 2010 (1), 375858, 2010 | 319 | 2010 |
| Development of fractional order capacitors based on electrolyte processes IS Jesus, JA Tenreiro Machado Nonlinear Dynamics 56, 45-55, 2009 | 288 | 2009 |
| Particle swarm optimization with fractional-order velocity EJ Solteiro Pires, JA Tenreiro Machado, PB de Moura Oliveira, ... Nonlinear Dynamics 61, 295-301, 2010 | 271 | 2010 |
| A new fractional operator of variable order: application in the description of anomalous diffusion XJ Yang, JAT Machado Physica A: Statistical Mechanics and its Applications 481, 276-283, 2017 | 259 | 2017 |
| On exact traveling-wave solutions for local fractional Korteweg-de Vries equation XJ Yang, JA Tenreiro Machado, D Baleanu, C Cattani Chaos: An Interdisciplinary Journal of Nonlinear Science 26 (8), 2016 | 255 | 2016 |
| Fractional calculus: A survey of useful formulas D Valério, JJ Trujillo, M Rivero, JAT Machado, D Baleanu The European Physical Journal Special Topics 222 (8), 1827-1846, 2013 | 247 | 2013 |
| A new fractional derivative without singular kernel: application to the modelling of the steady heat flow XJ Yang, HM Srivastava, JA Machado arXiv preprint arXiv:1601.01623, 2015 | 244 | 2015 |
