An epidemiological MSEIR model described by the Caputo fractional derivative R Almeida, AMCB da Cruz, N Martins, MTT Monteiro International Journal of Dynamics and Control 7 (2), 776-784, 2019 | 155 | 2019 |
Calculus of variations on time scales with nabla derivatives N Martins, DFM Torres Nonlinear Analysis: Theory, Methods & Applications 71 (12), e763-e773, 2009 | 129 | 2009 |
Transversality conditions for infinite horizon variational problems on time scales AB Malinowska, N Martins, DFM Torres Optimization Letters 5 (1), 41-53, 2011 | 75 | 2011 |
The second Euler-Lagrange equation of variational calculus on time scales Z Bartosiewicz, N Martins, DFM Torres European Journal of Control 17 (1), 9-18, 2011 | 73 | 2011 |
Noether’s symmetry theorem for nabla problems of the calculus of variations N Martins, DFM Torres Applied Mathematics Letters 23 (12), 1432-1438, 2010 | 67 | 2010 |
Variational problems of Herglotz type with time delay: DuBois-Reymond condition and Noether's first theorem SPS Santos, N Martins, DFM Torres arXiv preprint arXiv:1501.04873, 2015 | 64 | 2015 |
The q-symmetric variational calculus AMCB da Cruz, N Martins Computers & Mathematics with Applications 64 (7), 2241-2250, 2012 | 49 | 2012 |
Existence results for fractional q-difference equations of order α∈] 2, 3 [with three-point boundary conditions R Almeida, N Martins Communications in Nonlinear Science and Numerical Simulation 19 (6), 1675-1685, 2014 | 45 | 2014 |
Higher-order Hahn’s quantum variational calculus AMCB da Cruz, N Martins, DFM Torres Nonlinear Analysis: Theory, Methods & Applications 75 (3), 1147-1157, 2012 | 43 | 2012 |
Generalized transversality conditions for the Hahn quantum variational calculus AB Malinowska, N Martins Optimization 62 (3), 323-344, 2013 | 41 | 2013 |
Higher-order variational problems of Herglotz type SPS Santos, N Martins, DFM Torres Vietnam Journal of Mathematics 42 (4), 409-419, 2014 | 39 | 2014 |
Symmetric differentiation on time scales AMCB da Cruz, N Martins, DFM Torres Applied Mathematics Letters 26 (2), 264-269, 2013 | 37 | 2013 |
Krause's model of opinion dynamics on isolated time scales E Girejko, L Machado, AB Malinowska, N Martins Mathematical Methods in the Applied Sciences 39 (18), 5302-5314, 2016 | 33 | 2016 |
Noether currents for higher-order variational problems of Herglotz type with time delay SPS Santos, N Martins, DFM Torres arXiv preprint arXiv:1704.00088, 2017 | 29 | 2017 |
Generalizing the variational theory on time scales to include the delta indefinite integral N Martins, DFM Torres Computers & Mathematics with Applications 61 (9), 2424-2435, 2011 | 29 | 2011 |
The second Noether theorem on time scales AB Malinowska, N Martins Abstract and applied Analysis 2013, 2013 | 28 | 2013 |
The diamond integral on time scales AMCB da Cruz, N Martins, DFM Torres Bulletin of the Malaysian Mathematical Sciences Society 38 (4), 1453-1462, 2015 | 27 | 2015 |
An optimal control approach to Herglotz variational problems SPS Santos, N Martins, DFM Torres EURO Mini-conference on Optimization in the Natural Sciences, 107-117, 2014 | 26 | 2014 |
Hahn's symmetric quantum variational calculus A da Cruz, MC Brito, N Martins, DFM Torres arXiv preprint arXiv:1209.1530, 2012 | 25 | 2012 |
Necessary optimality conditions for higher-order infinite horizon variational problems on time scales N Martins, DFM Torres Journal of Optimization Theory and Applications 155 (2), 453-476, 2012 | 22 | 2012 |