Advances in fractional calculus J Sabatier, OP Agrawal, JAT Machado Springer 4 (9), 2007 | 2131 | 2007 |
Recent history of fractional calculus JT Machado, V Kiryakova, F Mainardi Communications in nonlinear science and numerical simulation 16 (3), 1140-1153, 2011 | 1210 | 2011 |
A general formulation and solution scheme for fractional optimal control problems OP Agrawal Nonlinear Dynamics 38 (1), 323-337, 2004 | 634 | 2004 |
Fractional dynamics and control D Baleanu, JAT Machado, ACJ Luo Springer Science & Business Media, 2011 | 606 | 2011 |
New trends in nanotechnology and fractional calculus applications D Baleanu, ZB Güvenç, JAT Machado Springer, 2010 | 566 | 2010 |
Analysis and design of fractional-order digital control systems JA Machado SAMS 27, 107-122, 1997 | 516 | 1997 |
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 | 491 | 2001 |
What is a fractional derivative? MD Ortigueira, JAT Machado Journal of computational Physics 293, 4-13, 2015 | 319 | 2015 |
Tuning of PID controllers based on Bode’s ideal transfer function RS Barbosa, JAT Machado, IM Ferreira Nonlinear dynamics 38 (1), 305-321, 2004 | 300 | 2004 |
A review of definitions for fractional derivatives and integral EC De Oliveira, JA Tenreiro Machado Mathematical Problems in Engineering 2014, 2014 | 293 | 2014 |
Discrete-time fractional-order controllers JA Machado Fractional Calculus and Applied Analysis 4, 47-66, 2001 | 279 | 2001 |
Inquérito domiciliar como instrumento de avaliação de serviços de saúde: um estudo de caso na região sudoeste da área metropolitana de São Paulo, 1989-1990 CLG Cesar, OY Tanaka Cadernos de Saúde Pública 12, S59-S70, 1996 | 258* | 1996 |
Some applications of fractional calculus in engineering JA Tenreiro Machado, MF Silva, RS Barbosa, IS Jesus, CM Reis, ... Mathematical problems in engineering 2010, 2010 | 250 | 2010 |
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 | 234 | 2017 |
Development of fractional order capacitors based on electrolyte processes IS Jesus, JAT Machado Nonlinear Dynamics 56 (1), 45-55, 2009 | 219 | 2009 |
Fractional order calculus: basic concepts and engineering applications RE Gutierrez, JM Rosario, J Tenreiro Machado Mathematical problems in engineering 2010, 2010 | 216 | 2010 |
Fractional control of heat diffusion systems IS Jesus, JAT Machado Nonlinear dynamics 54 (3), 263-282, 2008 | 206 | 2008 |
Fractional signal processing and applications M Duarte Ortigueira, JA Tenreiro Machado Signal processing 83 (11), 2003 | 196* | 2003 |
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 | 189 | 2017 |
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 | 189 | 2015 |