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Natália Martins
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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
1262019
Calculus of variations on time scales with nabla derivatives
N Martins, DFM Torres
Nonlinear Analysis: Theory, Methods & Applications 71 (12), e763-e773, 2009
1262009
Transversality conditions for infinite horizon variational problems on time scales
AB Malinowska, N Martins, DFM Torres
Optimization Letters 5 (1), 41-53, 2011
702011
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
692011
Noether’s symmetry theorem for nabla problems of the calculus of variations
N Martins, DFM Torres
Applied Mathematics Letters 23 (12), 1432-1438, 2010
662010
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
562015
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
452014
Higher-order Hahn’s quantum variational calculus
AMCB da Cruz, N Martins, DFM Torres
Nonlinear Analysis: Theory, Methods & Applications 75 (3), 1147-1157, 2012
422012
The q-symmetric variational calculus
AMCB da Cruz, N Martins
Computers & Mathematics with Applications 64 (7), 2241-2250, 2012
402012
Generalized transversality conditions for the Hahn quantum variational calculus
AB Malinowska, N Martins
Optimization 62 (3), 323-344, 2013
372013
Higher-order variational problems of Herglotz type
SPS Santos, N Martins, DFM Torres
Vietnam Journal of Mathematics 42 (4), 409-419, 2014
352014
Symmetric differentiation on time scales
AMCB da Cruz, N Martins, DFM Torres
Applied Mathematics Letters 26 (2), 264-269, 2013
342013
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
322016
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
302011
The second Noether theorem on time scales
AB Malinowska, N Martins
Abstract and applied Analysis 2013, 2013
282013
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
262017
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
242014
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
232015
Hahn's symmetric quantum variational calculus
A da Cruz, MC Brito, N Martins, DFM Torres
arXiv preprint arXiv:1209.1530, 2012
232012
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
212012
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