Mathematical modeling of COVID-19 transmission dynamics with a case study of Wuhan F Ndaïrou, I Area, JJ Nieto, DFM Torres Chaos, Solitons & Fractals 135, 109846, 2020 | 780 | 2020 |
Introduction to the fractional calculus of variations DFM Torres, AB Malinowska World Scientific Publishing Company, 2012 | 435 | 2012 |
A formulation of Noether's theorem for fractional problems of the calculus of variations GSF Frederico, DFM Torres Journal of Mathematical Analysis and Applications 334 (2), 834-846, 2007 | 318 | 2007 |
Discrete-time fractional variational problems NRO Bastos, RAC Ferreira, DFM Torres Signal Processing 91 (3), 513-524, 2011 | 297 | 2011 |
Fractional conservation laws in optimal control theory GSF Frederico, DFM Torres Nonlinear Dynamics 53, 215-222, 2008 | 290 | 2008 |
Necessary and sufficient conditions for the fractional calculus of variations with Caputo derivatives R Almeida, DFM Torres Communications in Nonlinear Science and Numerical Simulation 16 (3), 1490-1500, 2011 | 276 | 2011 |
Fractional optimal control in the sense of Caputo and the fractional Noether's theorem GSF Frederico, DFM Torres arXiv preprint arXiv:0712.1844, 2007 | 269 | 2007 |
Advanced methods in the fractional calculus of variations AB Malinowska, T Odzijewicz, DFM Torres Springer, 2015 | 256 | 2015 |
A conformable fractional calculus on arbitrary time scales N Benkhettou, S Hassani, DFM Torres Journal of King Saud University-Science 28 (1), 93-98, 2016 | 248 | 2016 |
Vaccination models and optimal control strategies to dengue HS Rodrigues, MTT Monteiro, DFM Torres Mathematical biosciences 247, 1-12, 2014 | 234 | 2014 |
Fractional actionlike variational problems RA El-Nabulsi, DFM Torres Journal of Mathematical Physics 49 (5), 2008 | 212 | 2008 |
Calculus of variations with fractional derivatives and fractional integrals R Almeida, DFM Torres Applied Mathematics Letters 22 (12), 1816-1820, 2009 | 209 | 2009 |
The variable-order fractional calculus of variations R Almeida, D Tavares, DFM Torres Springer International Publishing, 2019 | 208 | 2019 |
Caputo derivatives of fractional variable order: numerical approximations D Tavares, R Almeida, DFM Torres Communications in Nonlinear Science and Numerical Simulation 35, 69-87, 2016 | 202 | 2016 |
Fractional h-difference equations arising from the calculus of variations RAC Ferreira, DFM Torres Applicable Analysis and Discrete Mathematics, 110-121, 2011 | 200 | 2011 |
Mathematical modelling, simulation, and optimal control of the 2014 Ebola outbreak in West Africa A Rachah, DFM Torres Discrete dynamics in nature and society 2015 (1), 842792, 2015 | 197 | 2015 |
A fractional calculus of variations for multiple integrals with application to vibrating string R Almeida, AB Malinowska, DFM Torres Journal of Mathematical Physics 51 (3), 2010 | 189 | 2010 |
A survey on fuzzy fractional differential and optimal control nonlocal evolution equations RP Agarwal, D Baleanu, JJ Nieto, DFM Torres, Y Zhou Journal of Computational and Applied Mathematics 339, 3-29, 2018 | 179 | 2018 |
Necessary optimality conditions for fractional difference problems of the calculus of variations NRO Bastos, RAC Ferreira, DFM Torres arXiv preprint arXiv:1007.0594, 2010 | 174 | 2010 |
Fractional Noether’s theorem in the Riesz–Caputo sense GSF Frederico, DFM Torres Applied Mathematics and Computation 217 (3), 1023-1033, 2010 | 171 | 2010 |