Delfim F. M. Torres
0000-0001-8641-2505
Also known as:
D. F. M. Torres
Country: PT
Keywords: Systems Biology, fractional calculus, optimization, time scales, Calculus of variations and optimal control
Websites:
Delfim F. M. Torres's articles on arXiv
Google Scholar
MathSciNet
Homepage, Department of Mathematics, University of Aveiro
ISI Web of Science Papers
Zentralblatt Math Profile
Other IDs:
Scopus Author ID: 7102800859
Publications
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Symmetric differentiation on time scales: Applied Mathematics Letters 2013
Brito Da Cruz, A.M.C. and Martins, N. and Torres, D.F.M., (2013). "Symmetric differentiation on time scales", Applied Mathematics Letters, vol. 26, no. 2, pp. 264-269 -
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Approximation of fractional integrals by means of derivatives: Computers and Mathematics with Applications 2012
Pooseh, S. and Almeida, R. and Torres, D.F.M., (2012). "Approximation of fractional integrals by means of derivatives", Computers and Mathematics with Applications -
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Dengue disease, basic reproduction number and control: International Journal of Computer Mathematics 2012
Rodrigues, H.S. and Monteiro, M.T.T. and Torres, D.F.M. and Zinober, A., (2012). "Dengue disease, basic reproduction number and control", International Journal of Computer Mathematics, vol. 89, no. 3, pp. 334-346 -
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Existence and uniqueness of solutions to functional integro-differential fractional equations: Electronic Journal of Differential Equations 2012
Ammi, M.R.S. and El Kinani, E.H. and Torres, D.F.M., (2012). "Existence and uniqueness of solutions to functional integro-differential fractional equations", Electronic Journal of Differential Equations, vol. 2012 -
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Fractional calculus of variations in terms of a generalized fractional integral with applications to physics: Abstract and Applied Analysis 2012
Odzijewicz, T. and Malinowska, A.B. and Torres, D.F.M., (2012). "Fractional calculus of variations in terms of a generalized fractional integral with applications to physics", Abstract and Applied Analysis, vol. 2012 -
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Fractional variational calculus with classical and combined Caputo derivatives: Nonlinear Analysis, Theory, Methods and Applications 2012
Odzijewicz, T. and Malinowska, A.B. and Torres, D.F.M., (2012). "Fractional variational calculus with classical and combined Caputo derivatives", Nonlinear Analysis, Theory, Methods and Applications, vol. 75, no. 3, pp. 1507-1515 -
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Fractional variational problems depending on indefinite integrals: Nonlinear Analysis, Theory, Methods and Applications 2012
Almeida, R. and Pooseh, S. and Torres, D.F.M., (2012). "Fractional variational problems depending on indefinite integrals", Nonlinear Analysis, Theory, Methods and Applications, vol. 75, no. 3, pp. 1009-1025 -
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Generalized fractional calculus with applications to the calculus of variations: Computers and Mathematics with Applications 2012
Odzijewicz, T. and Malinowska, A.B. and Torres, D.F.M., (2012). "Generalized fractional calculus with applications to the calculus of variations", Computers and Mathematics with Applications -
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Higher-order Hahn's quantum variational calculus: Nonlinear Analysis, Theory, Methods and Applications 2012
Brito Da Cruz, A.M.C. and Martins, N. and Torres, D.F.M., (2012). "Higher-order Hahn's quantum variational calculus", Nonlinear Analysis, Theory, Methods and Applications, vol. 75, no. 3, pp. 1147-1157 -
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Higher-order infinite horizon variational problems in discrete quantum calculus: Computers and Mathematics with Applications 2012
Martins, N. and Torres, D.F.M., (2012). "Higher-order infinite horizon variational problems in discrete quantum calculus", Computers and Mathematics with Applications, vol. 64, no. 7, pp. 2166-2175 -
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Isoperimetric problems of the calculus of variations with fractional derivatives: Acta Mathematica Scientia 2012
Almeida, R. and Ferreira, R.A.C. and Torres, D.F.M., (2012). "Isoperimetric problems of the calculus of variations with fractional derivatives", Acta Mathematica Scientia, vol. 32, no. 2, pp. 619-630 -
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Multiobjective fractional variational calculus in terms of a combined Caputo derivative: Applied Mathematics and Computation 2012
Malinowska, A.B. and Torres, D.F.M., (2012). "Multiobjective fractional variational calculus in terms of a combined Caputo derivative", Applied Mathematics and Computation, vol. 218, no. 9, pp. 5099-5111 -
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Necessary Optimality Conditions for Higher-Order Infinite Horizon Variational Problems on Time Scales: Journal of Optimization Theory and Applications 2012
Martins, N. and Torres, D.F.M., (2012). "Necessary Optimality Conditions for Higher-Order Infinite Horizon Variational Problems on Time Scales", Journal of Optimization Theory and Applications, pp. 1-24 -
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Optimal control of nonlocal thermistor equations: International Journal of Control 2012
Ammi, M.R.S. and Torres, D.F.M., (2012). "Optimal control of nonlocal thermistor equations", International Journal of Control, vol. 85, no. 11, pp. 1789-1801 -
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The DuBois-Reymond Fundamental Lemma of the Fractional Calculus of Variations and an Euler-Lagrange Equation Involving Only Derivatives of Caputo: Journal of Optimization Theory and Applications 2012
Lazo, M.J. and Torres, D.F.M., (2012). "The DuBois-Reymond Fundamental Lemma of the Fractional Calculus of Variations and an Euler-Lagrange Equation Involving Only Derivatives of Caputo", Journal of Optimization Theory and Applications, pp. 1-12 -
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The contingent epiderivative and the calculus of variations on time scales: Optimization 2012
Girejko, E. and Malinowska, A.B. and Torres, D.F.M., (2012). "The contingent epiderivative and the calculus of variations on time scales", Optimization, vol. 61, no. 3, pp. 251-264 -
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The existence of solutions for dynamic inclusions on time scales via duality: Applied Mathematics Letters 2012
Girejko, E. and Torres, D.F.M., (2012). "The existence of solutions for dynamic inclusions on time scales via duality", Applied Mathematics Letters, vol. 25, no. 11, pp. 1632-1637 -
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The power quantum calculus and variational problems: Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms 2012
Aldwoah, K.A. and Malinowska, A.B. and Torres, D.F.M., (2012). "The power quantum calculus and variational problems", Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms, vol. 19, no. 1-2, pp. 93-116 -
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Time scale differential, integral, and variational embeddings of Lagrangian systems: Computers and Mathematics with Applications 2012
Cresson, J. and Malinowska, A.B. and Torres, D.F.M., (2012). "Time scale differential, integral, and variational embeddings of Lagrangian systems", Computers and Mathematics with Applications, vol. 64, no. 7, pp. 2294-2301 -
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A general backwards calculus of variations via duality: Optimization Letters 2011
Malinowska, A.B. and Torres, D.F.M., (2011). "A general backwards calculus of variations via duality", Optimization Letters, vol. 5, no. 4, pp. 587-599 -
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Backward variational approach on time scales with an action depending on the free endpoints: Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences 2011
Malinowska, A.B. and Torres, D.F.M., (2011). "Backward variational approach on time scales with an action depending on the free endpoints", Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences, vol. 66, no. 6-7, pp. 401-410 -
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Delta-nabla optimal control problems: JVC/Journal of Vibration and Control 2011
Girejko, E. and Malinowska, A.B. and Torres, D.F.M., (2011). "Delta-nabla optimal control problems", JVC/Journal of Vibration and Control, vol. 17, no. 11, pp. 1634-1643 -
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Discrete and Continuous Dynamical Systems: Preface: Discrete and Continuous Dynamical Systems 2011
Do Rosário De Pinho, M. and Ferreira, M.M.A. and Fontes, F.A.C.C. and Pereira, F.L. and Smirnov, G. and Torres, D.F.M., (2011). "Discrete and Continuous Dynamical Systems: Preface", Discrete and Continuous Dynamical Systems, vol. 29, no. 2 -
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Discrete-time fractional variational problems: Signal Processing 2011
Bastos, N.R.O. and Ferreira, R.A.C. and Torres, D.F.M., (2011). "Discrete-time fractional variational problems", Signal Processing, vol. 91, no. 3, pp. 513-524 -
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Euler-Lagrange equations for composition functionals in calculus of variations on time scales: Discrete and Continuous Dynamical Systems 2011
Malinowska, A.B. and Torres, D.F.M., (2011). "Euler-Lagrange equations for composition functionals in calculus of variations on time scales", Discrete and Continuous Dynamical Systems, vol. 29, no. 2, pp. 577-593 -
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Fractional calculus of variations for a combined Caputo derivative: Fractional Calculus and Applied Analysis 2011
Malinowska, A.B. and Torres, D.F.M., (2011). "Fractional calculus of variations for a combined Caputo derivative", Fractional Calculus and Applied Analysis, vol. 14, no. 4, pp. 523-537 -
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Fractional calculus of variations for double integrals: Balkan Journal of Geometry and its Applications 2011
Odzijewicz, T. and Torres, D.F.M., (2011). "Fractional calculus of variations for double integrals", Balkan Journal of Geometry and its Applications, vol. 16, no. 2, pp. 102-113 -
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Fractional derivatives in dengue epidemics: AIP Conference Proceedings 2011
Pooseh, S. and Rodrigues, H.S. and Torres, D.F.M., (2011). "Fractional derivatives in dengue epidemics", AIP Conference Proceedings, vol. 1389, pp. 739-742 -
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Fractional h-difference equations arising from the calculus of variations: Applicable Analysis and Discrete Mathematics 2011
Ferreira, R.A.C. and Torres, D.F.M., (2011). "Fractional h-difference equations arising from the calculus of variations", Applicable Analysis and Discrete Mathematics, vol. 5, no. 1, pp. 110-121 -
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Fractional variational calculus for nondifferentiable functions: Computers and Mathematics with Applications 2011
Almeida, R. and Torres, D.F.M., (2011). "Fractional variational calculus for nondifferentiable functions", Computers and Mathematics with Applications, vol. 61, no. 10, pp. 3097-3104 -
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Generalizing the variational theory on time scales to include the delta indefinite integral: Computers and Mathematics with Applications 2011
Martins, N. and Torres, D.F.M., (2011). "Generalizing the variational theory on time scales to include the delta indefinite integral", Computers and Mathematics with Applications, vol. 61, no. 9, pp. 2424-2435 -
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Inequalities and majorisations for the riemann-stieltjes integral on time scales: Mathematical Inequalities and Applications 2011
Mozyrska, D. and Pawluszewicz, E. and Torres, D.F.M., (2011). "Inequalities and majorisations for the riemann-stieltjes integral on time scales", Mathematical Inequalities and Applications, vol. 14, no. 2, pp. 281-293 -
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Modified optimal energy and initial memory of fractional continuous-time linear systems: Signal Processing 2011
Mozyrska, D. and Torres, D.F.M., (2011). "Modified optimal energy and initial memory of fractional continuous-time linear systems", Signal Processing, vol. 91, no. 3, pp. 379-385 -
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Necessary and sufficient conditions for the fractional calculus of variations with Caputo derivatives: Communications in Nonlinear Science and Numerical Simulation 2011
Almeida, R. and Torres, D.F.M., (2011). "Necessary and sufficient conditions for the fractional calculus of variations with Caputo derivatives", Communications in Nonlinear Science and Numerical Simulation, vol. 16, no. 3, pp. 1490-1500 -
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Necessary optimality conditions for fractional difference problems of the calculus of variations: Discrete and Continuous Dynamical Systems 2011
Bastos, N.R.O. and Ferreira, R.A.C. and Torres, D.F.M., (2011). "Necessary optimality conditions for fractional difference problems of the calculus of variations", Discrete and Continuous Dynamical Systems, vol. 29, no. 2, pp. 417-437 -
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Nondifferentiable variational principles in terms of a quantum operator: Mathematical Methods in the Applied Sciences 2011
Almeida, R. and Torres, D.F.M., (2011). "Nondifferentiable variational principles in terms of a quantum operator", Mathematical Methods in the Applied Sciences, vol. 34, no. 18, pp. 2231-2241 -
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Optimal control of a dengue epidemic model with vaccination: AIP Conference Proceedings 2011
Rodrigues, H.S. and Monteiro, M.T.T. and Torres, D.F.M., (2011). "Optimal control of a dengue epidemic model with vaccination", AIP Conference Proceedings, vol. 1389, pp. 1232-1235 -
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Optimality conditions for the calculus of variations with higher-order delta derivatives: Applied Mathematics Letters 2011
Ferreira, R.A.C. and Malinowska, A.B. and Torres, D.F.M., (2011). "Optimality conditions for the calculus of variations with higher-order delta derivatives", Applied Mathematics Letters, vol. 24, no. 1, pp. 87-92 -
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The second Euler-Lagrange equation of variational calculus on time scales: European Journal of Control 2011
Bartosiewicz, Z. and Martins, N. and Torres, D.F.M., (2011). "The second Euler-Lagrange equation of variational calculus on time scales", European Journal of Control, vol. 17, no. 1, pp. 9-18 -
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Transversality conditions for infinite horizon variational problems on time scales: Optimization Letters 2011
Malinowska, A.B. and Martins, N. and Torres, D.F.M., (2011). "Transversality conditions for infinite horizon variational problems on time scales", Optimization Letters, vol. 5, no. 1, pp. 41-53 -
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A fractional calculus of variations for multiple integrals with application to vibrating string: Journal of Mathematical Physics 2010
Almeida, R. and Malinowska, A.B. and Torres, D.F.M., (2010). "A fractional calculus of variations for multiple integrals with application to vibrating string", Journal of Mathematical Physics, vol. 51, no. 3 -
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A non-classical class of variational problems: International Journal of Mathematical Modelling and Numerical Optimisation 2010
Cruz, P.A.F. and Torres, D.F.M. and Zinober, A.S.I., (2010). "A non-classical class of variational problems", International Journal of Mathematical Modelling and Numerical Optimisation, vol. 1, no. 3, pp. 227-236 -
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A unified approach to the calculus of variations on time scales: 2010 Chinese Control and Decision Conference, CCDC 2010 2010
Girejko, E. and Malinowska, A.B. and Torres, D.F.M., (2010). "A unified approach to the calculus of variations on time scales", 2010 Chinese Control and Decision Conference, CCDC 2010, pp. 595-600 -
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Avoidance control on time scales: Journal of Optimization Theory and Applications 2010
Pawłuszewicz, E. and Torres, D.F.M., (2010). "Avoidance control on time scales", Journal of Optimization Theory and Applications, vol. 145, no. 3, pp. 527-542 -
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Backward linear control systems on time scales: International Journal of Control 2010
Pawuszewicz, E. and Torres, D.F.M., (2010). "Backward linear control systems on time scales", International Journal of Control, vol. 83, no. 8, pp. 1573-1580 -
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Dynamics of Dengue epidemics when using optimal control: Mathematical and Computer Modelling 2010
Rodrigues, H.S. and Monteiro, M.T.T. and Torres, D.F.M., (2010). "Dynamics of Dengue epidemics when using optimal control", Mathematical and Computer Modelling, vol. 52, no. 9-10, pp. 1667-1673 -
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Fractional Noether's theorem in the Riesz-Caputo sense: Applied Mathematics and Computation 2010
Frederico, G.S.F. and Torres, D.F.M., (2010). "Fractional Noether's theorem in the Riesz-Caputo sense", Applied Mathematics and Computation, vol. 217, no. 3, pp. 1023-1033 -
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Generalized Euler-Lagrange Equations for Variational Problems with Scale Derivatives: Letters in Mathematical Physics 2010
Almeida, R. and Torres, D.F.M., (2010). "Generalized Euler-Lagrange Equations for Variational Problems with Scale Derivatives", Letters in Mathematical Physics, vol. 92, no. 3, pp. 221-229 -
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Generalized natural boundary conditions for fractional variational problems in terms of the Caputo derivative: Computers and Mathematics with Applications 2010
Malinowska, A.B. and Torres, D.F.M., (2010). "Generalized natural boundary conditions for fractional variational problems in terms of the Caputo derivative", Computers and Mathematics with Applications, vol. 59, no. 9, pp. 3110-3116 -
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Insecticide control in a dengue epidemics model: AIP Conference Proceedings 2010
Rodrigues, H.S. and Monteiro, M.T.T. and Torres, D.F.M., (2010). "Insecticide control in a dengue epidemics model", AIP Conference Proceedings, vol. 1281, pp. 979-982 -
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Integral inequalities and their applications to the calculus of variations on time scales: Mathematical Inequalities and Applications 2010
Bohner, M.J. and Ferreira, R.A.C. and Torres, D.F.M., (2010). "Integral inequalities and their applications to the calculus of variations on time scales", Mathematical Inequalities and Applications, vol. 13, no. 3, pp. 511-522 -
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Leitmann's direct method for fractional optimization problems: Applied Mathematics and Computation 2010
Almeida, R. and Torres, D.F.M., (2010). "Leitmann's direct method for fractional optimization problems", Applied Mathematics and Computation, vol. 217, no. 3, pp. 956-962 -
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Leitmann's direct method of optimization for absolute extrema of certain problems of the calculus of variations on time scales: Applied Mathematics and Computation 2010
Malinowska, A.B. and Torres, D.F.M., (2010). "Leitmann's direct method of optimization for absolute extrema of certain problems of the calculus of variations on time scales", Applied Mathematics and Computation, vol. 217, no. 3, pp. 1158-1162 -
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Minimal modified energy control for fractional linear control systems with the Caputo derivative: Carpathian Journal of Mathematics 2010
Mozyrska, D. and Torres, D.F.M., (2010). "Minimal modified energy control for fractional linear control systems with the Caputo derivative", Carpathian Journal of Mathematics, vol. 26, no. 2, pp. 210-221 -
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Natural boundary conditions in the calculus of variations: Mathematical Methods in the Applied Sciences 2010
Malinowska, A.B. and Torres, D.F.M., (2010). "Natural boundary conditions in the calculus of variations", Mathematical Methods in the Applied Sciences, vol. 33, no. 14, pp. 1712-1722 -
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Noether's symmetry theorem for nabla problems of the calculus of variations: Applied Mathematics Letters 2010
Martins, N. and Torres, D.F.M., (2010). "Noether's symmetry theorem for nabla problems of the calculus of variations", Applied Mathematics Letters, vol. 23, no. 12, pp. 1432-1438 -
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The Hahn Quantum Variational Calculus: Journal of Optimization Theory and Applications 2010
Malinowska, A.B. and Torres, D.F.M., (2010). "The Hahn Quantum Variational Calculus", Journal of Optimization Theory and Applications, vol. 147, no. 3, pp. 419-442 -
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The riemann-stieltjes integral on time scales: Australian Journal of Mathematical Analysis and Applications 2010
Mozyrska, D. and Pawłuszewicz, E. and Torres, D.F.M., (2010). "The riemann-stieltjes integral on time scales", Australian Journal of Mathematical Analysis and Applications, vol. 7, no. 1, pp. 1-14 -
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Calculus of variations on time scales with nabla derivatives: Nonlinear Analysis, Theory, Methods and Applications 2009
Martins, N. and Torres, D.F.M., (2009). "Calculus of variations on time scales with nabla derivatives", Nonlinear Analysis, Theory, Methods and Applications, vol. 71, no. 12 -
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Calculus of variations with fractional derivatives and fractional integrals: Applied Mathematics Letters 2009
Almeida, R. and Torres, D.F.M., (2009). "Calculus of variations with fractional derivatives and fractional integrals", Applied Mathematics Letters, vol. 22, no. 12, pp. 1816-1820 -
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Combined dynamic Grüss inequalities on time scales: Journal of Mathematical Sciences 2009
Sidi Ammi, M.R. and Torres, D.F.M., (2009). "Combined dynamic Grüss inequalities on time scales", Journal of Mathematical Sciences, vol. 161, no. 6, pp. 792-802 -
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Computing ODE symmetries as abnormal variational symmetries: Nonlinear Analysis, Theory, Methods and Applications 2009
Gouveia, P.D.F. and Torres, D.F.M., (2009). "Computing ODE symmetries as abnormal variational symmetries", Nonlinear Analysis, Theory, Methods and Applications, vol. 71, no. 12 -
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Constants of motion for non-differentiable quantum variational problems: Topological Methods in Nonlinear Analysis 2009
Cresson, J. and Frederico, G.S.F. and Torres, D.F.M., (2009). "Constants of motion for non-differentiable quantum variational problems", Topological Methods in Nonlinear Analysis, vol. 33, no. 2, pp. 217-231 -
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Generalizations of Gronwall-Bihari inequalities on time scales: Journal of Difference Equations and Applications 2009
Ferreira, R.A.C. and Torres, D.F.M., (2009). "Generalizations of Gronwall-Bihari inequalities on time scales", Journal of Difference Equations and Applications, vol. 15, no. 6, pp. 529-539 -
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Generalized retarded integral inequalities: Applied Mathematics Letters 2009
Ferreira, R.A.C. and Torres, D.F.M., (2009). "Generalized retarded integral inequalities", Applied Mathematics Letters, vol. 22, no. 6, pp. 876-881 -
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Hölderian variational problems subject to integral constraints: Journal of Mathematical Analysis and Applications 2009
Almeida, R. and Torres, D.F.M., (2009). "Hölderian variational problems subject to integral constraints", Journal of Mathematical Analysis and Applications, vol. 359, no. 2, pp. 674-681 -
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Isoperimetric problems on time scales with nabla derivatives: JVC/Journal of Vibration and Control 2009
Almeida, R. and Torres, D.F.M., (2009). "Isoperimetric problems on time scales with nabla derivatives", JVC/Journal of Vibration and Control, vol. 15, no. 6, pp. 951-958 -
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Necessary and sufficient conditions for local Pareto optimality on time scales: Journal of Mathematical Sciences 2009
Malinowska, A.B. and Torres, D.F.M., (2009). "Necessary and sufficient conditions for local Pareto optimality on time scales", Journal of Mathematical Sciences, vol. 161, no. 6, pp. 803-810 -
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On the diamond-alpha riemann integral and mean value theorems on time scales: Dynamic Systems and Applications 2009
Malinowska, A.B. and Torres, D.F.M., (2009). "On the diamond-alpha riemann integral and mean value theorems on time scales", Dynamic Systems and Applications, vol. 18, no. 3-4, pp. 469-482 -
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On the two-dimensional rotational body of maximal Newtonian resistance: Journal of Mathematical Sciences 2009
Gouveia, P.D.F. and Plakhov, A.Y. and Torres, D.F.M., (2009). "On the two-dimensional rotational body of maximal Newtonian resistance", Journal of Mathematical Sciences, vol. 161, no. 6, pp. 811-819 -
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Optimization of dengue epidemics: A test case with different discretization schemes: AIP Conference Proceedings 2009
Rodrigues, H.S. and Monteiro, M.T.T. and Torres, D.F.M., (2009). "Optimization of dengue epidemics: A test case with different discretization schemes", AIP Conference Proceedings, vol. 1168, pp. 1385-1388 -
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Relaxed optimality conditions for mu-differentiable functions: International Journal of Applied Mathematics and Statistics 2009
Almeida, R. and Torres, D.F.M., (2009). "Relaxed optimality conditions for mu-differentiable functions", International Journal of Applied Mathematics and Statistics, vol. 14, no. M09, pp. 53-66 -
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Some linear and nonlinear integral inequalities on time scales in two independent variables: Nonlinear Dynamics and Systems Theory 2009
Ferreira, R.A.C. and Torres, D.F.M., (2009). "Some linear and nonlinear integral inequalities on time scales in two independent variables", Nonlinear Dynamics and Systems Theory, vol. 9, no. 2, pp. 161-169 -
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Strong minimizers of the calculus of variations on time scales and the Weierstrass condition: Proceedings of the Estonian Academy of Sciences 2009
Malinowska, A.B. and Torres, D.F.M., (2009). "Strong minimizers of the calculus of variations on time scales and the Weierstrass condition", Proceedings of the Estonian Academy of Sciences, vol. 58, no. 4, pp. 205-212 -
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Two-dimensional body of maximum mean resistance: Applied Mathematics and Computation 2009
Gouveia, P.D.F. and Plakhov, A. and Torres, D.F.M., (2009). "Two-dimensional body of maximum mean resistance", Applied Mathematics and Computation, vol. 215, no. 1, pp. 37-52 -
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Computational approach to essential and nonessential objective functions in linear multicriteria optimization: Journal of Optimization Theory and Applications 2008
Malinowska, A.B. and Torres, D.F.M., (2008). "Computational approach to essential and nonessential objective functions in linear multicriteria optimization", Journal of Optimization Theory and Applications, vol. 139, no. 3, pp. 577-590 -
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Contrasting two transformation-based methods for obtaining absolute extrema: Journal of Optimization Theory and Applications 2008
Torres, D.F.M. and Leitmann, G., (2008). "Contrasting two transformation-based methods for obtaining absolute extrema", Journal of Optimization Theory and Applications, vol. 137, no. 1, pp. 53-59 -
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Diamond-α Jensen's inequality on time scales: Journal of Inequalities and Applications 2008
Sidi Ammi, M.R. and Ferreira, R.A.C. and Torres, D.F.M., (2008). "Diamond-α Jensen's inequality on time scales", Journal of Inequalities and Applications, vol. 2008 -
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Dynamics of controlled hybrid systems of aerial cable-ways: Nonlinear Analysis: Hybrid Systems 2008
Mul, O.V. and Torres, D.F.M. and Kravchenko, V.P., (2008). "Dynamics of controlled hybrid systems of aerial cable-ways", Nonlinear Analysis: Hybrid Systems, vol. 2, no. 2, pp. 431-440 -
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First integrals for problems of calculus of variations on locally convex spaces: Applied Sciences 2008
Rocha, E.A.M. and Torres, D.F.M., (2008). "First integrals for problems of calculus of variations on locally convex spaces", Applied Sciences, vol. 10, pp. 207-218 -
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Fractional actionlike variational problems: Journal of Mathematical Physics 2008
El-Nabulsi, R.A. and Torres, D.F.M., (2008). "Fractional actionlike variational problems", Journal of Mathematical Physics, vol. 49, no. 5 -
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Fractional conservation laws in optimal control theory: Nonlinear Dynamics 2008
Frederico, G.S.F. and Torres, D.F.M., (2008). "Fractional conservation laws in optimal control theory", Nonlinear Dynamics, vol. 53, no. 3, pp. 215-222 -
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Necessary optimality conditions for fractional action-like problems with intrinsic and observer times: WSEAS Transactions on Mathematics 2008
Frederico, G.S.F. and Torres, D.F.M., (2008). "Necessary optimality conditions for fractional action-like problems with intrinsic and observer times", WSEAS Transactions on Mathematics, vol. 7, no. 1, pp. 6-11 -
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Noether's theorem on time scales: Journal of Mathematical Analysis and Applications 2008
Bartosiewicz, Z. and Torres, D.F.M., (2008). "Noether's theorem on time scales", Journal of Mathematical Analysis and Applications, vol. 342, no. 2, pp. 1220-1226 -
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Numerical analysis of a nonlocal parabolic problem resulting from thermistor problem: Mathematics and Computers in Simulation 2008
Sidi Ammi, M.R. and Torres, D.F.M., (2008). "Numerical analysis of a nonlocal parabolic problem resulting from thermistor problem", Mathematics and Computers in Simulation, vol. 77, no. 2-3, pp. 291-300 -
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Regularity of solutions to higher-order integrals of the calculus of variations: International Journal of Systems Science 2008
Ammi, M.R.S. and Torres, D.F.M., (2008). "Regularity of solutions to higher-order integrals of the calculus of variations", International Journal of Systems Science, vol. 39, no. 9, pp. 889-895 -
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A formulation of Noether's theorem for fractional problems of the calculus of variations: Journal of Mathematical Analysis and Applications 2007
Frederico, G.S.F. and Torres, D.F.M., (2007). "A formulation of Noether's theorem for fractional problems of the calculus of variations", Journal of Mathematical Analysis and Applications, vol. 334, no. 2, pp. 834-846 -
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Conservation laws for invariant functionals containing compositions: IFAC Proceedings Volumes (IFAC-PapersOnline) 2007
Frederico, G.S.F. and Torres, D.F.M., (2007). "Conservation laws for invariant functionals containing compositions", IFAC Proceedings Volumes (IFAC-PapersOnline), vol. 7, no. PART 1, pp. 300-305 -
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Evolution strategies in optimization problems: Proceedings of the Estonian Academy of Sciences: Physics, Mathematics 2007
Cruz, P.A.F. and Torres, D.F.M., (2007). "Evolution strategies in optimization problems", Proceedings of the Estonian Academy of Sciences: Physics, Mathematics, vol. 56, no. 4, pp. 299-309 -
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Existence and regularity of optimal solution for a dead oil isotherm problem: Applied Sciences 2007
Ammi, M.R.S. and Torres, D.F.M., (2007). "Existence and regularity of optimal solution for a dead oil isotherm problem", Applied Sciences, vol. 9, pp. 5-12 -
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Existence of positive solutions for non local p-Laplacian thermistor problems on time scales: Journal of Inequalities in Pure and Applied Mathematics 2007
Ammi, M.R.S. and Torres, D.F.M., (2007). "Existence of positive solutions for non local p-Laplacian thermistor problems on time scales", Journal of Inequalities in Pure and Applied Mathematics, vol. 8, no. 3 -
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Necessary optimality conditions for a dead oil isotherm optimal control problem: Journal of Optimization Theory and Applications 2007
Sidi Ammi, M.R. and Torres, D.F.M., (2007). "Necessary optimality conditions for a dead oil isotherm optimal control problem", Journal of Optimization Theory and Applications, vol. 135, no. 1, pp. 135-143 -
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Necessary optimality conditions for fractional action-like integrals of variational calculus with Riemann-Liouville derivatives of order (α, β): Mathematical Methods in the Applied Sciences 2007
El-Nabulsi, R.A. and Torres, D.F.M., (2007). "Necessary optimality conditions for fractional action-like integrals of variational calculus with Riemann-Liouville derivatives of order (α, β)", Mathematical Methods in the Applied Sciences, vol. 30, no. 15, pp. 1931-1939 -
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Nonessential functionals in multiobjective optimal control problems: Proceedings of the Estonian Academy of Sciences: Physics, Mathematics 2007
Malinowska, A.B. and Torres, D.F.M., (2007). "Nonessential functionals in multiobjective optimal control problems", Proceedings of the Estonian Academy of Sciences: Physics, Mathematics, vol. 56, no. 4, pp. 336-346 -
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Absolute extrema of invariant optimal control problems: Communications in Applied Analysis 2006
Silva, C.J. and Torres, D.F.M., (2006). "Absolute extrema of invariant optimal control problems", Communications in Applied Analysis, vol. 10, no. 4, pp. 503-516 -
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Generalized splines in ℝn and optimal control: Rendiconti del Seminario Matematico 2006
Rodrigues, R.C. and Torres, D.F.M., (2006). "Generalized splines in ℝn and optimal control", Rendiconti del Seminario Matematico, vol. 64, no. 1, pp. 63-78 -
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Noether's theorem for fractional optimal control problems: IFAC Proceedings Volumes (IFAC-PapersOnline) 2006
Frederico, G.S.F. and Torres, D.F.M., (2006). "Noether's theorem for fractional optimal control problems", IFAC Proceedings Volumes (IFAC-PapersOnline), vol. 2, no. PART 1, pp. 79-84 -
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Optimal control of Newton-type problems of minimal resistance: Rendiconti del Seminario Matematico 2006
Torres, D.F.M. and Plakhov, A.Yu., (2006). "Optimal control of Newton-type problems of minimal resistance", Rendiconti del Seminario Matematico, vol. 64, no. 1, pp. 79-95 -
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Quadratures of Pontryagin extremals for optimal control problems: Control and Cybernetics 2006
Rocha, E.A.M. and Torres, D.F.M., (2006). "Quadratures of Pontryagin extremals for optimal control problems", Control and Cybernetics, vol. 35, no. 4, pp. 947-963 -
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Symbolic computation of variational symmetries in optimal control: Control and Cybernetics 2006
Gouveia, P.D.F. and Torres, D.F.M. and Rocha, E.A.M., (2006). "Symbolic computation of variational symmetries in optimal control", Control and Cybernetics, vol. 35, no. 4, pp. 831-849 -
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Two-dimensional Newton's problem of minimal resistance: Control and Cybernetics 2006
Silva, C.J. and Torres, D.F.M., (2006). "Two-dimensional Newton's problem of minimal resistance", Control and Cybernetics, vol. 35, no. 4, pp. 965-975 -
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Analysis of vibrations in large flexible hybrid systems: Nonlinear Analysis, Theory, Methods and Applications 2005
Mul, O.V. and Torres, D.F.M., (2005). "Analysis of vibrations in large flexible hybrid systems", Nonlinear Analysis, Theory, Methods and Applications, vol. 63, no. 3, pp. 350-363 -
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Newton's aerodynamic problem in media of chaotically moving particles: Sbornik Mathematics 2005
Plakhov, A.Yu. and Torres, D.F.M., (2005). "Newton's aerodynamic problem in media of chaotically moving particles", Sbornik Mathematics, vol. 196, no. 5-6, pp. 885-933 -
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Weak conservation laws for minimizers which are not pontryagin extremals: 2005 International Conference on Physics and Control, PhysCon 2005, Proceedings 2005
Torres, D.F.M., (2005). "Weak conservation laws for minimizers which are not pontryagin extremals", 2005 International Conference on Physics and Control, PhysCon 2005, Proceedings, vol. 2005, pp. 134-135 -
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Proper extensions of Noether's symmetry theorem for nonsmooth extremals of the calculus of variations: Communications on Pure and Applied Analysis 2004
Torres, D.F.M., (2004). "Proper extensions of Noether's symmetry theorem for nonsmooth extremals of the calculus of variations", Communications on Pure and Applied Analysis, vol. 3, no. 3, pp. 491-500 -
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Gauge symmetries and Noether currents in optimal control: Applied Mathematics E - Notes 2003
Torres, D.F.M., (2003). "Gauge symmetries and Noether currents in optimal control", Applied Mathematics E - Notes, vol. 3, pp. 49-57 -
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Lipschitzian regularity of the minimizing trajectories for nonlinear optimal control problems: Mathematics of Control, Signals, and Systems 2003
Torres, D.F.M., (2003). "Lipschitzian regularity of the minimizing trajectories for nonlinear optimal control problems", Mathematics of Control, Signals, and Systems, vol. 16, no. 2-3, pp. 158-174 -
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On the Noether theorem for optimal control: European Journal of Control 2002
Torres, D.F.M., (2002). "On the Noether theorem for optimal control", European Journal of Control, vol. 8, no. 1, pp. 56-63 -
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Lipschitzian regularity of minimizers for optimal control problems with control-affine dynamics: Applied Mathematics and Optimization 2000
Sarychev, A.V. and Torres, D.F.M., (2000). "Lipschitzian regularity of minimizers for optimal control problems with control-affine dynamics", Applied Mathematics and Optimization, vol. 41, no. 2, pp. 237-254
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