| Fractional calculus for scientists and engineers MD Ortigueira Springer Science & Business Media, 2011 | 909 | 2011 |
| What is a fractional derivative? MD Ortigueira, JAT Machado Journal of computational Physics 293, 4-13, 2015 | 500 | 2015 |
| On the HHT, its problems, and some solutions RT Rato, MD Ortigueira, AG Batista Mechanical systems and signal processing 22 (6), 1374-1394, 2008 | 402 | 2008 |
| Riesz potential operators and inverses via fractional centred derivatives MD Ortigueira International Journal of Mathematics and Mathematical Sciences 2006, 2006 | 329 | 2006 |
| On the fractional signals and systems R Magin, MD Ortigueira, I Podlubny, J Trujillo Signal Processing 91 (3), 350-371, 2011 | 305 | 2011 |
| An introduction to the fractional continuous-time linear systems: the 21st century systems MD Ortigueira IEEE Circuits and Systems Magazine 8 (3), 19-26, 2008 | 243 | 2008 |
| Fractional signal processing and applications MD Ortigueira, JAT Machado Signal processing 83 (11), 2285-2286, 2003 | 224* | 2003 |
| Introduction to fractional linear systems. Part 1: Continuous-time case MD Ortigueira IEE Proceedings-Vision, Image and Signal Processing 147 (1), 62-70, 2000 | 139 | 2000 |
| Fractional model of an electrochemical capacitor V Martynyuk, M Ortigueira Signal Processing 107, 355-360, 2015 | 138 | 2015 |
| Fractional calculus applications in signals and systems MD Ortigueira, JAT Machado Signal Processing 86 (10), 2503-2504, 2006 | 133 | 2006 |
| A coherent approach to non-integer order derivatives MD Ortigueira Signal Processing 86 (10), 2505-2515, 2006 | 113 | 2006 |
| Fractional central differences and derivatives MD Ortigueira Journal of Vibration and Control 14 (9-10), 1255-1266, 2008 | 112 | 2008 |
| Introduction to fractional linear systems. Part 2: discrete-time case MD Ortigueira IEE Proceedings-Vision, Image and Signal Processing 147 (1), 71-78, 2000 | 104 | 2000 |
| A critical analysis of the Caputo–Fabrizio operator MD Ortigueira, JT Machado Communications in Nonlinear Science and Numerical Simulation 59, 608-611, 2018 | 99 | 2018 |
| On the initial conditions in continuous-time fractional linear systems MD Ortigueira Signal Processing 83 (11), 2301-2309, 2003 | 94 | 2003 |
| Variable order fractional systems MD Ortigueira, D Valério, JT Machado Communications in Nonlinear Science and Numerical Simulation 71, 231-243, 2019 | 90 | 2019 |
| Identifying a transfer function from a frequency response D Valério, MD Ortigueira, J Sá da Costa Journal of computational and nonlinear dynamics 3 (2), 021207, 2008 | 87 | 2008 |
| Which derivative? M Ortigueira, J Machado Fractal and Fractional 1 (1), 3, 2017 | 81 | 2017 |
| Fractional signals and systems MD Ortigueira, D Valério Walter de Gruyter GmbH & Co KG, 2020 | 73* | 2020 |
| Discrete-time differential systems MD Ortigueira, FJV Coito, JJ Trujillo Signal Processing 107, 198-217, 2015 | 73 | 2015 |
J. Tenreiro MachadoInstitute of Engineering, Polytechnic of Porto, Dept. of Electrical Engineering, Porto, PortugalVerified email at isep.ipp.pt
