Edit Profile (opens in new tab) Torres, Delfim Fernando Marado Compute Distance To: Compute Author ID: torres.delfim-f-m Published as: Torres, Delfim F. M.; Torres, D. F. M.; Torres, Delfim; Torres, Delfim Fernando Marado; Torres, Delfim F. Marado; Torres, Delfim F.; Torres, D. Homepage: https://www.ua.pt/en/p/10312819 External Links: MGP · ORCID · Wikidata · arXiv · ResearchGate · Math-Net.Ru · dblp · GND · IdRef · theses.fr Documents Indexed: 282 Publications since 2000, including 5 Books 8 Contributions as Editor Reviewing Activity: 7 Reviews Co-Authors: 154 Co-Authors with 276 Joint Publications 4,324 Co-Co-Authors all top 5 Co-Authors 13 single-authored 33 Malinowska, Agnieszka Barbara 33 Silva, Cristiana J. 28 Sidi Ammi, Moulay Rchid 25 Almeida, Ricardo 21 Martins, Natália F. 12 Ferreira, Rui A. C. 11 Odzijewicz, Tatiana 11 Rodrigues, Helena Sofia 10 Frederico, Gastão S. F. 9 Nieto Roig, Juan Jose 8 Brito da Cruz, Artur M. C. 8 Monteiro, M. Teresa T. 7 Gouveia, Paulo D. F. 7 Mozyrska, Dorota 7 Pooseh, Shakoor 6 Area, Iván 6 Debbouche, Amar 6 Lemos-Paião, Ana P. 6 Rachah, Amira 5 Dryl, Monika 5 Ndaïrou, Faïçal 5 Plakhov, A. Yu 5 Santos, Simão P. S. 5 Tavares, Dina 4 Nwaeze, Eze Raymond 4 Pawłuszewicz, Ewa 4 Rocha, Eugénio A. M. 4 Zhao, Dafang 3 Bayour, Benaoumeur 3 Boukhouima, Adnane 3 Chidouh, Amar 3 Denysiuk, Roman 3 Girejko, Ewa 3 Lotfi, El Mehdi 3 Mahrouf, Marouane 3 Ye, Guoju 3 Yousfi, Noura 2 Abdeljawad, Thabet 2 Allali, Karam 2 Bartosiewicz, Zbigniew 2 Bastos, Nuno R. O. 2 Bohner, Martin J. 2 Boutoulout, Ali 2 Chaïra, Abdellatif 2 Choquet, Catherine 2 Cresson, Jacky 2 Cruz, Pedro A. F. 2 El-Nabulsi, Rami Ahmad 2 Fard, Omid Solaymani 2 Guezane-Lakoud, Assia 2 Harroudi, Sanaa 2 Hattaf, Khalid 2 Jahanshahi, Salman 2 Jamiai, Ismail 2 Khosravian-Arab, Hassan 2 Kostylenko, Olena 2 Lazo, Matheus Jatkoske 2 Lima, Pedro Miguel 2 Liu, Wei 2 Maurer, Helmut 2 Mul, Olena V. 2 Nemati, Somayeh 2 Rosa, Silvério S. 2 Sarychev, Andrei V. 2 Shamsi, Mostafa 2 Tahiri, Mostafa 2 Taverna, Giorgio S. 2 Tilioua, Mouhcine 2 Touhami, Soumia 2 Venturino, Ezio 2 Zine, Houssine 2 Zinober, Alan Solon Ivor 2 Zouiten, Hayat 1 Agarwal, Praveen 1 Agarwal, Ravi P. 1 Agra, Agostinho 1 Aldwoah, Khaled A. 1 Almoaeet, Mohammed K. 1 Ammi, Sidi 1 Amorim Ferreira, M. Margarida 1 An, Tianqing 1 Aqachmar, Yassine 1 Babolian, Esmail 1 Bader, Georg 1 Bahaa, Gaber Mohamed 1 Băleanu, Dumitru I. 1 Bebbouchi, Rachid 1 Benharrat, Mohammed 1 Benkhettou, Nadia 1 Bhalekar, Sachin 1 Bouaricha, Amor 1 Bourdin, Loïc 1 Costa, Lino 1 Couras, Juliana 1 de Pinho, Maria do Rosário 1 Djordjević, Jasmina 1 Dzenite, Ilona A. 1 El Hachimi, Abderrahmane 1 El Kinani, El Hassan 1 Eladdadi, Amina ...and 54 more Co-Authors all top 5 Serials 11 Computers & Mathematics with Applications 11 Discrete and Continuous Dynamical Systems. Series S 10 Mathematical Methods in the Applied Sciences 10 Journal of Optimization Theory and Applications 8 Chaos, Solitons and Fractals 8 Applied Mathematics and Computation 8 Applied Mathematics Letters 7 Control and Cybernetics 6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 6 Discrete and Continuous Dynamical Systems 5 Journal of Computational and Applied Mathematics 5 Communications in Nonlinear Science and Numerical Simulation 4 Journal of Mathematical Sciences (New York) 4 Fractional Calculus & Applied Analysis 4 Journal of Mathematical Analysis 4 Numerical Algebra, Control and Optimization 3 International Journal of Control 3 Journal of Mathematical Analysis and Applications 3 Optimization 3 Boletim da Sociedade Portuguesa de Matemática 3 Mathematical Inequalities & Applications 3 Discrete Dynamics in Nature and Society 3 Mathematical Biosciences and Engineering 3 International Journal of Applied Mathematics and Statistics 3 Mathematics in Computer Science 3 Nonlinear Analysis. Hybrid Systems 3 Mathematical Modelling of Natural Phenomena 3 Pure and Applied Functional Analysis 2 Applicable Analysis 2 Journal of Mathematical Physics 2 Mathematical Biosciences 2 Mathematics and Computers in Simulation 2 Signal Processing 2 International Journal of Computer Mathematics 2 Proceedings of the Estonian Academy of Sciences. Physics, Mathematics 2 European Journal of Control 2 Journal of Vibration and Control 2 Nonlinear Dynamics 2 Abstract and Applied Analysis 2 Communications de la Faculté des Sciences de l’Université d’Ankara. Séries A1. Mathematics and Statistics 2 Applied Sciences 2 Discrete and Continuous Dynamical Systems. Series B 2 Journal of Industrial and Management Optimization 2 Rendiconti del Seminario Matematico. Universitá e Politecnico di Torino 2 Optimization Letters 2 International Journal of Mathematics and Statistics 2 Applicable Analysis and Discrete Mathematics 2 International Journal of Mathematical Modelling and Numerical Optimisation 2 AIMS Mathematics 2 SpringerBriefs in Applied Sciences and Technology 1 International Journal of Systems Science 1 Letters in Mathematical Physics 1 Reports on Mathematical Physics 1 Bulletin of Mathematical Biology 1 Applied Mathematics and Optimization 1 Fasciculi Mathematici 1 Numerical Functional Analysis and Optimization 1 Ricerche di Matematica 1 SIAM Journal on Control and Optimization 1 Southeast Asian Bulletin of Mathematics 1 Mathematica Balkanica. New Series 1 Mathematical and Computer Modelling 1 MCSS. Mathematics of Control, Signals, and Systems 1 Differential and Integral Equations 1 Numerical Algorithms 1 Dynamic Systems and Applications 1 Topological Methods in Nonlinear Analysis 1 Electronic Journal of Differential Equations (EJDE) 1 Computational and Applied Mathematics 1 Georgian Mathematical Journal 1 Opuscula Mathematica 1 Analele Universității din Craiova. Seria Matematică Informatică 1 Complexity 1 Journal of Difference Equations and Applications 1 Sbornik: Mathematics 1 Arab Journal of Mathematical Sciences 1 Nonlinear Studies 1 Mathematical Problems in Engineering 1 Mathematical Population Studies 1 Smarandache Notions Journal 1 Balkan Journal of Geometry and its Applications (BJGA) 1 Communications in Applied Analysis 1 Vietnam Journal of Mathematics 1 Optimization Methods & Software 1 Soft Computing 1 Journal of Inequalities and Applications 1 Fundamenta Informaticae 1 International Journal of Applied Mathematics 1 JIPAM. Journal of Inequalities in Pure & Applied Mathematics 1 Discussiones Mathematicae. Differential Inclusions, Control and Optimization 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series B. Applications & Algorithms 1 Computational Methods in Applied Mathematics 1 Applied Mathematics E-Notes 1 Journal of Applied Mathematics 1 Portugaliae Mathematica. Nova Série 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Nonlinear Dynamics and Systems Theory 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 International Journal of Pure and Applied Mathematics 1 Communications on Pure and Applied Analysis ...and 23 more Serials all top 5 Fields 179 Calculus of variations and optimal control; optimization (49-XX) 95 Real functions (26-XX) 82 Ordinary differential equations (34-XX) 57 Biology and other natural sciences (92-XX) 32 Systems theory; control (93-XX) 29 Difference and functional equations (39-XX) 21 Partial differential equations (35-XX) 17 Numerical analysis (65-XX) 9 Mechanics of particles and systems (70-XX) 9 Operations research, mathematical programming (90-XX) 9 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 General and overarching topics; collections (00-XX) 7 Quantum theory (81-XX) 6 Integral equations (45-XX) 6 Operator theory (47-XX) 6 Computer science (68-XX) 5 Mechanics of deformable solids (74-XX) 4 Probability theory and stochastic processes (60-XX) 3 Special functions (33-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Functional analysis (46-XX) 3 Statistics (62-XX) 2 Number theory (11-XX) 2 Measure and integration (28-XX) 2 Approximations and expansions (41-XX) 2 Fluid mechanics (76-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Information and communication theory, circuits (94-XX) 1 Combinatorics (05-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 238 Publications have been cited 3,662 times in 1,632 Documents Cited by ▼ Year ▼ Introduction to the fractional calculus of variations. Zbl 1258.49001Malinowska, Agnieszka B.; Torres, Delfim F. M. 127 2012 A formulation of Noether’s theorem for fractional problems of the calculus of variations. Zbl 1119.49035Frederico, Gastão S. F.; Torres, Delfim F. M. 107 2007 Discrete-time fractional variational problems. Zbl 1203.94022Bastos, Nuno R. O.; Ferreira, Rui A. C.; Torres, Delfim F. M. 102 2011 Fractional conservation laws in optimal control theory. Zbl 1170.49017Frederico, Gastão S. F.; Torres, Delfim F. M. 100 2008 Necessary and sufficient conditions for the fractional calculus of variations with Caputo derivatives. Zbl 1221.49038Almeida, Ricardo; Torres, Delfim F. M. 98 2011 Calculus of variations with fractional derivatives and fractional integrals. Zbl 1183.26005Almeida, Ricardo; Torres, Delfim F. M. 72 2009 Fractional optimal control in the sense of Caputo and the fractional Noether’s theorem. Zbl 1154.49016Frederico, Gastão S. F.; Torres, Delfim F. M. 71 2008 Fractional \(h\)-difference equations arising from the calculus of variations. Zbl 1289.39007Ferreira, Rui A. C.; Torres, Delfim F. M. 69 2011 Fractional actionlike variational problems. Zbl 1152.81422El-Nabulsi, Rami Ahmad; Torres, Delfim F. M. 59 2008 Generalized natural boundary conditions for fractional variational problems in terms of the Caputo derivative. Zbl 1193.49023Malinowska, Agnieszka B.; Torres, Delfim F. M. 58 2010 A fractional calculus of variations for multiple integrals with application to vibrating string. Zbl 1309.49003Almeida, Ricardo; Malinowska, Agnieszka B.; Torres, Delfim F. M. 57 2010 Fractional Noether’s theorem in the Riesz-Caputo sense. Zbl 1200.49019Frederico, Gastão S. F.; Torres, Delfim F. M. 56 2010 Advanced methods in the fractional calculus of variations. Zbl 1330.49001Malinowska, Agnieszka B.; Odzijewicz, Tatiana; Torres, Delfim F. M. 55 2015 Necessary optimality conditions for fractional difference problems of the calculus of variations. Zbl 1209.49020Bastos, Nuno R. O.; Ferreira, Rui A. C.; Torres, Delfim F. M. 54 2011 Noether’s theorem on time scales. Zbl 1357.49081Bartosiewicz, Zbigniew; Torres, Delfim F. M. 51 2008 Necessary optimality conditions for fractional action-like integrals of variational calculus with Riemann-Liouville derivatives of order (\(\alpha, \beta\)). Zbl 1177.49036El-Nabulsi, Rami Ahmad; Torres, Delfim F. M. 49 2007 Fractional order optimal control problems with free terminal time. Zbl 1278.26013Pooseh, Shakoor; Almeida, Ricardo; Torres, Delfim F. M. 47 2014 The Hahn quantum variational calculus. Zbl 1218.49026Malinowska, A. B.; Torres, D. F. M. 47 2010 Fractional variational calculus with classical and combined Caputo derivatives. Zbl 1236.49043Odzijewicz, Tatiana; Malinowska, Agnieszka B.; Torres, Delfim F. M. 47 2012 A survey on fuzzy fractional differential and optimal control nonlocal evolution equations. Zbl 1388.34005Agarwal, Ravi P.; Baleanu, Dumitru; Nieto, Juan J.; Torres, Delfim F. M.; Zhou, Yong 47 2018 Vaccination models and optimal control strategies to dengue. Zbl 1282.92022Rodrigues, Helena Sofia; Monteiro, M. Teresa T.; Torres, Delfim F. M. 42 2014 Computational methods in the fractional calculus of variations. Zbl 1322.49001Almeida, Ricardo; Pooseh, Shakoor; Torres, Delfim F. M. 42 2015 Sobolev type fractional dynamic equations and optimal multi-integral controls with fractional nonlocal conditions. Zbl 1321.49007Debbouche, Amar; Torres, Delfim F. M. 42 2015 Isoperimetric problems on time scales with nabla derivatives. Zbl 1273.49024Almeida, Ricardo; Torres, Delfim F. M. 41 2009 Approximate controllability of fractional delay dynamic inclusions with nonlocal control conditions. Zbl 1335.34094Debbouche, Amar; Torres, Delfim F. M. 40 2014 Approximate controllability of fractional nonlocal delay semilinear systems in Hilbert spaces. Zbl 1278.93049Debbouche, Amar; Torres, Delfim F. M. 38 2013 Calculus of variations on time scales with nabla derivatives. Zbl 1238.49037Martins, Natália; Torres, Delfim F. M. 38 2009 Existence of solution to a local fractional nonlinear differential equation. Zbl 1354.34012Bayour, Benaoumeur; Torres, Delfim F. M. 38 2017 Fractional calculus of variations for a combined Caputo derivative. Zbl 1273.49025Malinowska, Agnieszka B.; Torres, Delfim F. M. 35 2011 Optimal control for a tuberculosis model with reinfection and post-exposure interventions. Zbl 1280.92028Silva, Cristiana J.; Torres, Delfim F. M. 33 2013 A discrete method to solve fractional optimal control problems. Zbl 1345.49022Almeida, Ricardo; Torres, Delfim F. M. 31 2015 Fractional variational problems depending on indefinite integrals. Zbl 1236.49042Almeida, Ricardo; Pooseh, Shakoor; Torres, Delfim F. M. 31 2012 Modified optimal energy and initial memory of fractional continuous-time linear systems. Zbl 1203.94046Mozyrska, Dorota; Torres, Delfim F. M. 30 2011 A TB-HIV/AIDS coinfection model and optimal control treatment. Zbl 1365.92134Silva, Cristiana; Torres, Delfim 29 2015 Minimal modified energy control for fractional linear control systems with the Caputo derivative. Zbl 1224.49048Mozyrska, Dorota; Torres, Delfim F. M. 28 2010 A generalized Lyapunov’s inequality for a fractional boundary value problem. Zbl 1354.34014Chidouh, Amar; Torres, Delfim F. M. 28 2017 The second Euler-Lagrange equation of variational calculus on time scales. Zbl 1248.49024Bartosiewicz, Zbigniew; Martins, Natália; Torres, Delfim F. M. 27 2011 Generalized retarded integral inequalities. Zbl 1171.26328Ferreira, Rui A. C.; Torres, Delfim F. M. 27 2009 The variable-order fractional calculus of variations. Zbl 1402.49002Almeida, Ricardo; Tavares, Dina; Torres, Delfim F. M. 25 2019 Leitmann’s direct method for fractional optimization problems. Zbl 1200.65049Almeida, Ricardo; Torres, Delfim F. M. 24 2010 Optimal control of a tuberculosis model with state and control delays. Zbl 1351.49052Silva, Cristiana J.; Maurer, Helmut; Torres, Delfim F. M. 24 2017 Numerical approximations of fractional derivatives with applications. Zbl 1327.93165Pooseh, Shakoor; Almeida, Ricardo; Torres, Delfim F. M. 23 2013 On the Noether theorem for optimal control. Zbl 1293.49051Torres, D. F. M. 23 2002 Expansion formulas in terms of integer-order derivatives for the Hadamard fractional integral and derivative. Zbl 1248.26013Pooseh, Shakoor; Almeida, Ricardo; Torres, Delfim F. M. 23 2012 The power quantum calculus and variational problems. Zbl 1267.39005Aldwoah, Khaled A.; Malinowska, Agnieszka B.; Torres, Delfim F. M. 23 2012 Higher-order calculus of variations on time scales. Zbl 1191.49017Ferreira, Rui A.; Torres, Delfim F. M. 23 2008 Constants of motion for non-differentiable quantum variational problems. Zbl 1188.49023Cresson, Jacky; Frederico, Gastão S. F.; Torres, Delfim F. M. 23 2009 Fractional calculus of variations in terms of a generalized fractional integral with applications to physics. Zbl 1242.49019Odzijewicz, Tatiana; Malinowska, Agnieszka B.; Torres, Delfim F. M. 22 2012 Transversality conditions for infinite horizon variational problems on time scales. Zbl 1233.90265Malinowska, Agnieszka B.; Martins, Natália; Torres, Delfim F. M. 22 2011 Diamond-\(\alpha \) Jensen’s inequality on time scales. Zbl 1146.39038Ammi, Moulay Rchid Sidi; Ferreira, Rui A. C.; Torres, Delfim F. M. 22 2008 Dynamics of dengue epidemics when using optimal control. Zbl 1205.49051Rodrigues, Helena Sofia; Monteiro, M. Teresa T.; Torres, Delfim F. M. 21 2010 Generalized fractional calculus with applications to the calculus of variations. Zbl 1268.26012Odzijewicz, Tatiana; Malinowska, Agnieszka B.; Torres, Delfim F. M. 21 2012 Noether’s symmetry theorem for nabla problems of the calculus of variations. Zbl 1205.49033Martins, Natália; Torres, Delfim F. M. 20 2010 Fractional variational calculus for nondifferentiable functions. Zbl 1222.49026Almeida, Ricardo; Torres, Delfim F. M. 20 2011 Hölderian variational problems subject to integral constraints. Zbl 1169.49016Almeida, Ricardo; Torres, Delfim F. M. 20 2009 Optimal solutions to relaxation in multiple control problems of Sobolev type with nonlocal nonlinear fractional differential equations. Zbl 1377.49012Debbouche, Amar; Nieto, Juan J.; Torres, Delfim F. M. 20 2017 Cost-effectiveness analysis of optimal control measures for tuberculosis. Zbl 1330.92133Rodrigues, Paula; Silva, Cristiana J.; Torres, Delfim F. M. 19 2014 Mathematical modelling, simulation, and optimal control of the 2014 ebola outbreak in west africa. Zbl 1418.92188Rachah, Amira; Torres, Delfim F. M. 19 2015 Necessary and sufficient conditions for local Pareto optimality on time scales. Zbl 1192.49022Malinowska, A. B.; Torres, D. F. M. 18 2009 Quantum variational calculus. Zbl 1296.49001Malinowska, Agnieszka B.; Torres, Delfim F. M. 17 2014 Multiobjective fractional variational calculus in terms of a combined Caputo derivative. Zbl 1238.49029Malinowska, Agnieszka B.; Torres, Delfim F. M. 17 2012 An epidemic model for cholera with optimal control treatment. Zbl 1362.34078Lemos-Paião, Ana P.; Silva, Cristiana J.; Torres, Delfim F. M. 17 2017 Discrete direct methods in the fractional calculus of variations. Zbl 1350.49033Pooseh, Shakoor; Almeida, Ricardo; Torres, Delfim F. M. 17 2013 Proper extensions of Noether’s symmetry theorem for nonsmooth extremals of the calculus of variations. Zbl 1058.49019Torres, Delfim F. M. 17 2004 Variational problems of Herglotz type with time delay: DuBois-Reymond condition and Noether’s first theorem. Zbl 1335.49032Santos, Simão P. S.; Martins, Natália; Torres, Delfim 17 2015 Dengue disease, basic reproduction number and control. Zbl 1237.92042Rodrigues, Helena Sofia; Monteiro, M. Teresa T.; Torres, Delfim F. M.; Zinober, Alan 16 2012 Optimality conditions for the calculus of variations with higher-order delta derivatives. Zbl 1208.49020Ferreira, Rui A. C.; Malinowska, Agnieszka B.; Torres, Delfim F. M. 16 2011 Caputo derivatives of fractional variable order: numerical approximations. Zbl 07246627Tavares, Dina; Almeida, Ricardo; Torres, Delfim F. M. 16 2016 Approximation of fractional integrals by means of derivatives. Zbl 1268.41024Pooseh, Shakoor; Almeida, Ricardo; Torres, Delfim F. M. 16 2012 Noether’s symmetry theorem for variational and optimal control problems with time delay. Zbl 1272.49033Frederico, Gastão S. F.; Torres, Delfim F. M. 16 2012 Natural boundary conditions in the calculus of variations. Zbl 1196.49014Malinowska, Agnieszka B.; Torres, Delfim F. M. 16 2010 Ebola model and optimal control with vaccination constraints. Zbl 1412.49005Area, IvÁn; Ndaïrou, Faïçal; Nieto, Juan J.; Silva, Cristiana J.; Torres, Delfim F. M. 16 2018 Symmetric differentiation on time scales. Zbl 1255.26014Brito Da Cruz, Artur M. C.; Martins, Natália; Torres, Delfim F. M. 15 2013 Some linear and nonlinear integral inequalities on time scales in two independent variables. Zbl 1180.26020Ferreira, R. A. C.; Torres, D. F. M. 15 2009 A simple accurate method for solving fractional variational and optimal control problems. Zbl 1377.49016Jahanshahi, Salman; Torres, Delfim F. M. 15 2017 Strong minimizers of the calculus of variations on time scales and the Weierstrass condition. Zbl 1179.49025Malinowska, Agnieszka B.; Torres, Delfim F. M. 15 2009 On the diamond-alpha Riemann integral and mean value theorems on time scales. Zbl 1183.26041Malinowska, Agnieszka B.; Torres, Delfim F. M. 15 2009 Higher-order variational problems of Herglotz type. Zbl 1305.49025Santos, Simão P. S.; Martins, Natália; Torres, Delfim F. M. 14 2014 Hölder’s and Hardy’s two dimensional diamond-alpha inequalities on time scales. Zbl 1212.26057Rchid, Moulay; Ammi, Sidi; Torres, Delfim F. M. 14 2010 Optimal control strategies for tuberculosis treatment: A case study in Angola. Zbl 1253.92035Silva, Cristiana J.; Torres, Delfim F. M. 14 2012 A stochastic SICA epidemic model for HIV transmission. Zbl 1470.92293Djordjevic, Jasmina; Silva, Cristiana J.; Torres, Delfim F. M. 14 2018 Higher-order Hahn’s quantum variational calculus. Zbl 1241.39007Brito da Cruz, Artur M. C.; Martins, Natália; Torres, Delfim F. M. 13 2012 Generalizing the variational theory on time scales to include the delta indefinite integral. Zbl 1221.49040Martins, Natália; Torres, Delfim F. M. 13 2011 Stability and optimal control of a delayed HIV model. Zbl 1388.34076Rocha, Diana; Silva, Cristiana J.; Torres, Delfim F. M. 13 2018 Towards a combined fractional mechanics and quantization. Zbl 1339.49042Malinowska, Agnieszka B.; Torres, Delfim F. M. 13 2012 Integral inequalities and their applications to the calculus of variations on time scales. Zbl 1190.26015Bohner, Martin J.; Ferreira, Rui A. C.; Torres, Delfim F. M. 13 2010 Fractional Herglotz variational principles with generalized Caputo derivatives. Zbl 1374.49039Garra, Roberto; Taverna, Giorgio S.; Torres, Delfim F. M. 13 2017 Seasonality effects on dengue: basic reproduction number, sensitivity analysis and optimal control. Zbl 1349.92147Rodrigues, Helena Sofia; Monteiro, M. Teresa T.; Torres, Delfim F. M. 13 2016 Dynamics and optimal control of Ebola transmission. Zbl 1352.49042Rachah, Amira; Torres, Delfim F. M. 13 2016 Leitmann’s direct method of optimization for absolute extrema of certain problems of the calculus of variations on time scales. Zbl 1200.49022Malinowska, Agnieszka B.; Torres, Delfim F. M. 12 2010 Isoperimetric problems of the calculus of variations on time scales. Zbl 1222.49031Ferreira, Rui A. C.; Torres, Delfim F. M. 12 2010 Lipschitzian regularity of minimizers for optimal control problems with control-affine dynamics. Zbl 0961.49021Sarychev, A. V.; Torres, D. F. M. 12 2000 The Riemann-Stieltjes integral on time scales. Zbl 1189.26010Mozyrska, D.; Pawłuszewicz, E.; Torres, D. 12 2010 Constants of motion for fractional action-like variational problems. Zbl 1103.49012Gastão, Frederico S. F.; Torres, Delfim F. M. 11 2006 The contingent epiderivative and the calculus of variations on time scales. Zbl 1239.49025Girejko, Ewa; Malinowska, Agnieszka B.; Torres, Delfim F. M. 11 2012 Direct transcription methods based on fractional integral approximation formulas for solving nonlinear fractional optimal control problems. Zbl 07263889Salati, Abubakar Bello; Shamsi, Mostafa; Torres, Delfim F. M. 11 2019 Euler-Lagrange equations for composition functionals in calculus of variations on time scales. Zbl 1209.49017Malinowska, Agnieszka B.; Torres, Delfim F. M. 10 2011 A generalized fractional calculus of variations. Zbl 1318.49033Odzijewicz, Tatiana; Malinowska, Agnieszka B.; Torres, Delfim F. M. 10 2013 Novel results on Hermite-Hadamard kind inequalities for \(\eta \)-convex functions by means of \((k,r)\)-fractional integral operators. Zbl 1414.26024Nwaeze, Eze R.; Torres, Delfim F. M. 10 2018 Carathéodory equivalence, Noether theorems, and Tonelli full-regularity in the calculus of variations and optimal control. Zbl 1084.49022Torres, D. F. M. 10 2004 Numerical solution of a class of third-kind Volterra integral equations using Jacobi wavelets. Zbl 1459.65243Nemati, S.; Lima, Pedro M.; Torres, Delfim F. M. 2 2021 Global stability of a Caputo fractional SIRS model with general incidence rate. Zbl 07363367Sidi Ammi, Moulay Rchid; Tahiri, Mostafa; Torres, Delfim F. M. 2 2021 On Hermite-Hadamard type inequalities for harmonical \(h\)-convex interval-valued functions. Zbl 1437.26037Zhao, Dafang; An, Tianqing; Ye, Guoju; Torres, Delfim F. M. 3 2020 Optimal control of aquatic diseases: a case study of Yemen’s cholera outbreak. Zbl 1444.92118Lemos-Paião, Ana P.; Silva, Cristiana J.; Torres, Delfim F. M.; Venturino, Ezio 3 2020 Regional enlarged observability of Caputo fractional differential equations. Zbl 1442.35537Zouiten, Hayat; Boutoulout, Ali; Torres, Delfim F. M. 1 2020 Erratum to: “Modeling and optimal control of HIV/AIDS prevention through PrEP”. Zbl 1441.34063Silva, Cristiana J.; Torres, Delfim F. M. 1 2020 On SICA models for HIV transmission. Zbl 1471.92350Silva, Cristiana J.; Torres, Delfim F. M. 1 2020 Mathematical modeling of COVID-19 transmission dynamics with a case study of Wuhan. Zbl 07501380Ndaïrou, Faïçal; Area, Iván; Nieto, Juan J.; Torres, Delfim F. M. 1 2020 The variable-order fractional calculus of variations. Zbl 1402.49002Almeida, Ricardo; Tavares, Dina; Torres, Delfim F. M. 25 2019 Direct transcription methods based on fractional integral approximation formulas for solving nonlinear fractional optimal control problems. Zbl 07263889Salati, Abubakar Bello; Shamsi, Mostafa; Torres, Delfim F. M. 11 2019 Solutions of systems with the Caputo-Fabrizio fractional delta derivative on time scales. Zbl 1426.26018Mozyrska, Dorota; Torres, Delfim F. M.; Wyrwas, Małgorzata 10 2019 Some inequalities for interval-valued functions on time scales. Zbl 1418.26009Zhao, Dafang; Ye, Guoju; Liu, Wei; Torres, Delfim F. M. 7 2019 A numerical approach for solving fractional optimal control problems using modified hat functions. Zbl 1476.49033Nemati, Somayeh; Lima, Pedro M.; Torres, Delfim F. M. 7 2019 Optimal impulse control of dynamical systems. Zbl 1420.49038Piunovskiy, Alexey; Plakhov, Alexander; Torres, Delfim F. M.; Zhang, Yi 5 2019 Stability of a fractional HIV/AIDS model. Zbl 07316729Silva, Cristiana J.; Torres, Delfim F. M. 5 2019 Exact solution to a dynamic SIR model. Zbl 1425.92177Bohner, Martin; Streipert, Sabrina; Torres, Delfim F. M. 5 2019 Time-fractional optimal control of initial value problems on time scales. Zbl 1440.49033Bahaa, Gaber M.; Torres, Delfim F. M. 3 2019 Optimal control of a nonlocal thermistor problem with ABC fractional time derivatives. Zbl 1442.49027Sidi Ammi, Moulay Rchid; Torres, Delfim F. M. 3 2019 Functional characterizations of trace spaces in Lipschitz domains. Zbl 1419.46027Touhami, Soumia; Chaira, Abdellatif; Torres, Delfim F. M. 3 2019 A finite element approximation for a class of Caputo time-fractional diffusion equations. Zbl 1442.65274Sidi Ammi, Moulay Rchid; Jamiai, Ismail; Torres, Delfim F. M. 2 2019 The spread of a financial virus through Europe and beyond. Zbl 1426.91288Kostylenko, Olena; Rodrigues, Helena Sofia; Torres, Delfim F. M. 2 2019 Variable order Mittag-Leffler fractional operators on isolated time scales and application to the calculus of variations. Zbl 1442.26007Abdeljawad, Thabet; Mert, Raziye; Torres, Delfim F. M. 1 2019 A collocation method of lines for two-sided space-fractional advection-diffusion equations with variable coefficients. Zbl 1416.65374Almoaeet, Mohammed K.; Shamsi, Mostafa; Khosravian-arab, Hassan; Torres, Delfim F. M. 1 2019 A sufficient optimality condition for non-linear delayed optimal control problems. Zbl 1458.49019Lemos-Paião, Ana P.; Silva, Cristiana J.; Torres, Delfim F. M. 1 2019 A survey on fuzzy fractional differential and optimal control nonlocal evolution equations. Zbl 1388.34005Agarwal, Ravi P.; Baleanu, Dumitru; Nieto, Juan J.; Torres, Delfim F. M.; Zhou, Yong 47 2018 Ebola model and optimal control with vaccination constraints. Zbl 1412.49005Area, IvÁn; Ndaïrou, Faïçal; Nieto, Juan J.; Silva, Cristiana J.; Torres, Delfim F. M. 16 2018 A stochastic SICA epidemic model for HIV transmission. Zbl 1470.92293Djordjevic, Jasmina; Silva, Cristiana J.; Torres, Delfim F. M. 14 2018 Stability and optimal control of a delayed HIV model. Zbl 1388.34076Rocha, Diana; Silva, Cristiana J.; Torres, Delfim F. M. 13 2018 Novel results on Hermite-Hadamard kind inequalities for \(\eta \)-convex functions by means of \((k,r)\)-fractional integral operators. Zbl 1414.26024Nwaeze, Eze R.; Torres, Delfim F. M. 10 2018 Modeling and optimal control of HIV/AIDS prevention through PrEP. Zbl 1375.34076Torres, Delfim F. M.; Silva, Cristiana J. 10 2018 Lyapunov-type inequality for a fractional boundary value problem with natural conditions. Zbl 1390.34020Guezane-Lakoud, Assia; Khaldi, Rabah; Torres, Delfim F. M. 9 2018 Fractional Herglotz variational problems of variable order. Zbl 1379.49016Tavares, Dina; Almeida, Ricardo; Torres, Delfim F. M. 9 2018 Optimal control of a fractional order epidemic model with application to human respiratory syncytial virus infection. Zbl 1442.92180Rosa, Silvério; Torres, Delfim F. M. 8 2018 Existence of positive solutions to a discrete fractional boundary value problem and corresponding Lyapunov-type inequalities. Zbl 1402.39003Chidouh, Amar; Torres, Delfim F. M. 8 2018 Enhancement of chemotherapy using oncolytic virotherapy: mathematical and optimal control analysis. Zbl 1416.92091Malinzi, Joseph; Ouifki, Rachid; Eladdadi, Amina; Torres, Delfim F. M.; White, K. A. Jane 8 2018 Combined fractional variational problems of variable order and some computational aspects. Zbl 1392.49023Tavares, Dina; Almeida, Ricardo; Torres, Delfim F. M. 8 2018 Optimal control of a delayed HIV model. Zbl 1374.34177Rodrigues, Filipe; Silva, Cristiana J.; Torres, Delfim F. M.; Maurer, Helmut 8 2018 Multiobjective optimization to a TB-HIV/AIDS coinfection optimal control problem. Zbl 1433.92050Denysiuk, Roman; Silva, Cristiana J.; Torres, Delfim F. M. 8 2018 Analysis and optimal control of an intracellular delayed HIV model with CTL immune response. Zbl 1403.34057Allali, Karam; Harroudi, Sanaa; Torres, Delfim F. M. 8 2018 Analysis, simulation and optimal control of a SEIR model for Ebola virus with demographic effects. Zbl 1415.92190Rachah, Amira; Torres, Delfim F. M. 7 2018 Noether currents for higher-order variational problems of Herglotz type with time delay. Zbl 1375.49029Santos, Simão P. S.; Martins, Natália; Torres, Delfim F. M. 7 2018 Mathematical modeling of Zika disease in pregnant women and newborns with microcephaly in Brazil. Zbl 1406.34083Ndaïrou, Faïçal; Area, Iván; Nieto, Juan J.; Silva, Cristiana J.; Torres, Delfim F. M. 7 2018 Optimal control of non-autonomous SEIRS models with vaccination and treatment. Zbl 1408.49046Mateus, Joaquim P.; Rebelo, Paulo; Rosa, Silvério; Silva, César M.; Torres, Delfim F. M. 6 2018 Uniform asymptotic stability of a fractional tuberculosis model. Zbl 1407.92133Wojtak, Weronika; Silva, Cristiana J.; Torres, Delfim F. M. 6 2018 Global stability for a HIV/AIDS model. Zbl 1411.34069Silva, Cristiana J.; Torres, Delfim F. M. 5 2018 A necessary condition of Pontryagin type for fuzzy fractional optimal control problems. Zbl 1379.49015Fard, Omid S.; Soolaki, Javad; Torres, Delfim F. M. 5 2018 The effect of immigrant communities coming from higher incidence tuberculosis regions to a host country. Zbl 1395.92162Rocha, Eugénio M.; Silva, Cristiana J.; Torres, Delfim F. M. 4 2018 A cholera mathematical model with vaccination and the biggest outbreak of world’s history. Zbl 1429.34054Lemos-Paião, Ana P.; Silva, Cristiana J.; Torres, Delfim F. M. 3 2018 The fuzzy Henstock-Kurzweil delta integral on time scales. Zbl 1407.26014Zhao, Dafang; Ye, Guoju; Liu, Wei; Torres, Delfim F. M. 1 2018 Existence of solution to a local fractional nonlinear differential equation. Zbl 1354.34012Bayour, Benaoumeur; Torres, Delfim F. M. 38 2017 A generalized Lyapunov’s inequality for a fractional boundary value problem. Zbl 1354.34014Chidouh, Amar; Torres, Delfim F. M. 28 2017 Optimal control of a tuberculosis model with state and control delays. Zbl 1351.49052Silva, Cristiana J.; Maurer, Helmut; Torres, Delfim F. M. 24 2017 Optimal solutions to relaxation in multiple control problems of Sobolev type with nonlocal nonlinear fractional differential equations. Zbl 1377.49012Debbouche, Amar; Nieto, Juan J.; Torres, Delfim F. M. 20 2017 An epidemic model for cholera with optimal control treatment. Zbl 1362.34078Lemos-Paião, Ana P.; Silva, Cristiana J.; Torres, Delfim F. M. 17 2017 A simple accurate method for solving fractional variational and optimal control problems. Zbl 1377.49016Jahanshahi, Salman; Torres, Delfim F. M. 15 2017 Fractional Herglotz variational principles with generalized Caputo derivatives. Zbl 1374.49039Garra, Roberto; Taverna, Giorgio S.; Torres, Delfim F. M. 13 2017 Predicting and controlling the Ebola infection. Zbl 1380.92082Rachah, Amira; Torres, Delfim F. M. 10 2017 Symmetric duality for left and right Riemann-Liouville and Caputo fractional differences. Zbl 1366.26012Abdeljawad, Thabet; Torres, Delfim F. M. 9 2017 Generalized weighted Ostrowski and Ostrowski-Grüss type inequalities on time scales via a parameter function. Zbl 1379.26019Kermausuor, Seth; Nwaeze, Eze R.; Torres, Delfim F. M. 8 2017 Non-differentiable solutions for local fractional nonlinear Riccati differential equations. Zbl 1379.34015Yang, Xiao-Jun; Srivastava, H. M.; Torres, Delfim F. M.; Zhang, Yudong 5 2017 Chain rules and inequalities for the BHT fractional calculus on arbitrary timescales. Zbl 1366.26013Nwaeze, Eze R.; Torres, Delfim F. M. 4 2017 Optimal spraying in biological control of pests. Zbl 1384.92063Silva, C. J.; Torres, D. F. M.; Venturino, E. 3 2017 Galerkin spectral method for the fractional nonlocal thermistor problem. Zbl 1412.65167Sidi Ammi, Moulay Rchid; Torres, Delfim F. M. 1 2017 On the Henstock-Kurzweil integral for Riesz-space-valued functions on time scales. Zbl 1412.28012You, Xuexiao; Zhao, Dafang; Torres, Delfim F. M. 1 2017 A fractional Gauss-Jacobi quadrature rule for approximating fractional integrals and derivatives. Zbl 1422.65057Jahanshahi, S.; Babolian, E.; Torres, D. F. M.; Vahidi, A. R. 1 2017 Hyperchaotic fractional-order systems and their applications. Zbl 1380.34069 1 2017 Global existence of solutions for a fractional Caputo nonlocal thermistor problem. Zbl 1444.35155Sidi Ammi, Moulay Rchid; Jamiai, Ismail; Torres, Delfim F. M. 1 2017 Caputo derivatives of fractional variable order: numerical approximations. Zbl 07246627Tavares, Dina; Almeida, Ricardo; Torres, Delfim F. M. 16 2016 Seasonality effects on dengue: basic reproduction number, sensitivity analysis and optimal control. Zbl 1349.92147Rodrigues, Helena Sofia; Monteiro, M. Teresa T.; Torres, Delfim F. M. 13 2016 Dynamics and optimal control of Ebola transmission. Zbl 1352.49042Rachah, Amira; Torres, Delfim F. M. 13 2016 Nonsymmetric and symmetric fractional calculi on arbitrary nonempty closed sets. Zbl 1332.26012Benkhettou, Nadia; da Cruz, Artur M. C. Brito; Torres, Delfim F. M. 7 2016 A Hukuhara approach to the study of hybrid fuzzy systems on time scales. Zbl 1461.93276Fard, Omid S.; Torres, Delfim F. M.; Zadeh, Mohadeseh R. 7 2016 Complex-valued fractional derivatives on time scales. Zbl 1355.26039Bayour, Benaoumeur; Torres, Delfim F. M. 5 2016 Higher-order variational problems of Herglotz type with time delay. Zbl 1341.49024Santos, Simão P. S.; Martins, Natália.; Torres, Delfim F. M. 5 2016 Existence of solution to a nonlinear first-order dynamic equation on time scales. Zbl 1362.34131Bayour, Benaoumeur; Hammoudi, Ahmed; Torres, Delfim F. M. 2 2016 Optimal control strategies for the spread of Ebola in West Africa. Zbl 1362.92084Rachah, Amira; Torres, Delfim F. M. 2 2016 Modeling, dynamics and optimal control of ebola virus spread. Zbl 1341.49050Rachah, Amira; Torres, Delfim F. M. 2 2016 Exponentials and Laplace transforms on nonuniform time scales. Zbl 07249766Ortigueira, Manuel D.; Torres, Delfim F. M.; Trujillo, Juan J. 1 2016 Dengue disease: a multiobjective viewpoint. Zbl 1362.92072Denysiuk, Roman; Rodrigues, Helena Sofia; Monteiro, M. Teresa T.; Costa, Lino; Espírito Santo, Isabel; Torres, Delfim F. M. 1 2016 Advanced methods in the fractional calculus of variations. Zbl 1330.49001Malinowska, Agnieszka B.; Odzijewicz, Tatiana; Torres, Delfim F. M. 55 2015 Computational methods in the fractional calculus of variations. Zbl 1322.49001Almeida, Ricardo; Pooseh, Shakoor; Torres, Delfim F. M. 42 2015 Sobolev type fractional dynamic equations and optimal multi-integral controls with fractional nonlocal conditions. Zbl 1321.49007Debbouche, Amar; Torres, Delfim F. M. 42 2015 A discrete method to solve fractional optimal control problems. Zbl 1345.49022Almeida, Ricardo; Torres, Delfim F. M. 31 2015 A TB-HIV/AIDS coinfection model and optimal control treatment. Zbl 1365.92134Silva, Cristiana; Torres, Delfim 29 2015 Mathematical modelling, simulation, and optimal control of the 2014 ebola outbreak in west africa. Zbl 1418.92188Rachah, Amira; Torres, Delfim F. M. 19 2015 Variational problems of Herglotz type with time delay: DuBois-Reymond condition and Noether’s first theorem. Zbl 1335.49032Santos, Simão P. S.; Martins, Natália; Torres, Delfim 17 2015 Noether’s theorem for higher-order variational problems of Herglotz type. Zbl 1335.49034Torres, Delfim; Martins, Natália; Santos, Simão P. S. 9 2015 Optimality conditions for fractional variational problems with dependence on a combined Caputo derivative of variable order. Zbl 1317.49022Tavares, Dina; Almeida, Ricardo; Torres, Delfim F. M. 8 2015 The diamond integral on time scales. Zbl 1326.26039Brito da Cruz, Artur M. C.; Martins, Natália; Torres, Delfim F. M. 7 2015 Pressure responses of a vertically hydraulic fractured well in a reservoir with fractal structure. Zbl 1338.76120Razminia, Kambiz; Razminia, Abolhassan; Torres, Delfim F. M. 7 2015 Multiobjective approach to optimal control for a tuberculosis model. Zbl 1336.90083Denysiuk, Roman; Silva, Cristiana J.; Torres, Delfim F. M. 7 2015 Generalized fractional operators for nonstandard Lagrangians. Zbl 1322.49040Taverna, Giorgio S.; Torres, Delfim F. M. 6 2015 Computing Hadamard type operators of variable fractional order. Zbl 1338.26004Almeida, Ricardo; Torres, Delfim F. M. 5 2015 Fractional order optimal control problems with free terminal time. Zbl 1278.26013Pooseh, Shakoor; Almeida, Ricardo; Torres, Delfim F. M. 47 2014 Vaccination models and optimal control strategies to dengue. Zbl 1282.92022Rodrigues, Helena Sofia; Monteiro, M. Teresa T.; Torres, Delfim F. M. 42 2014 Approximate controllability of fractional delay dynamic inclusions with nonlocal control conditions. Zbl 1335.34094Debbouche, Amar; Torres, Delfim F. M. 40 2014 Cost-effectiveness analysis of optimal control measures for tuberculosis. Zbl 1330.92133Rodrigues, Paula; Silva, Cristiana J.; Torres, Delfim F. M. 19 2014 Quantum variational calculus. Zbl 1296.49001Malinowska, Agnieszka B.; Torres, Delfim F. M. 17 2014 Higher-order variational problems of Herglotz type. Zbl 1305.49025Santos, Simão P. S.; Martins, Natália; Torres, Delfim F. M. 14 2014 Noether’s theorem for non-smooth extremals of variational problems with time delay. Zbl 1287.49018Frederico, Gastão S. F.; Odzijewicz, Tatiana; Torres, Delfim F. M. 9 2014 ...and 138 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,090 Authors 143 Torres, Delfim Fernando Marado 68 Băleanu, Dumitru I. 40 Almeida, Ricardo 37 Malinowska, Agnieszka Barbara 33 El-Nabulsi, Rami Ahmad 32 Zhang, Yi 31 Abdeljawad, Thabet 24 Silva, Cristiana J. 23 Martins, Natália F. 20 Nieto Roig, Juan Jose 19 Nwaeze, Eze Raymond 19 Wang, Jinrong 17 Mozyrska, Dorota 16 Debbouche, Amar 16 Luo, Shaokai 16 Wu, Guocheng 15 Odzijewicz, Tatiana 15 O’Regan, Donal 15 Sitthiwirattham, Thanin 14 Machado, José António Tenreiro 14 Ntouyas, Sotiris K. 14 Wyrwas, Małgorzata 13 Cresson, Jacky 12 Frederico, Gastão S. F. 12 Goodrich, Christopher S. 12 Sidi Ammi, Moulay Rchid 12 Yan, Zuomao 11 Feng, Qinghua 11 Girejko, Ewa 11 Kamocki, Rafal 11 Kermausuor, Seth 11 Pawłuszewicz, Ewa 11 Zheng, Bin 10 Ferreira, Rui A. C. 9 Agarwal, Ravi P. 9 Bohner, Martin J. 9 Jarad, Fahd 9 Pečarić, Josip 9 Xu, Yanli 8 Ahmad, Bashir 8 Anastassiou, George Angelos 8 Atanackovic, Teodor M. 8 Bhrawy, Ali Hassan 8 Bourdin, Loïc 8 Jia, Baoguo 8 Pilipović, Stevan 8 Rodrigues, Helena Sofia 8 Shehata, Enas M. 8 Tariboon, Jessada 8 Zaslavski, Alexander Yakovlevich 7 Agrawal, Om Prakash 7 Ahmed, Hamdy M. 7 Bahaa, Gaber Mohamed 7 Bibi, Rabia 7 Błaszczyk, Tomasz 7 Chu, Yuming 7 Ciesielski, Mariusz 7 Ezz-Eldien, Samer S. 7 Golmankhaneh, Alireza Khalili 7 Klimek, Małgorzata 7 Lazo, Matheus Jatkoske 7 Meng, Fanwei 7 Mophou, Gisèle Massengo 7 Patanarapeelert, Nichaphat 7 Postnov, Sergey Sergeevich 7 Shah, Kamal 7 Song, Chuanjing 7 Sun, Shurong 7 Zhai, Xianghua 7 Zhao, Dafang 6 Al-Mekhlafi, Seham Mahyoub 6 Area, Iván 6 Chang, Yong-Kui 6 Chen, Guangsheng 6 Effati, Sohrab 6 Golmankhaneh, Ali Khalili 6 He, Jinman 6 Macías-Díaz, Jorge Eduardo 6 Merdivenci Atici, Ferhan 6 Monteiro, M. Teresa T. 6 Peterson, Allan C. 6 Plakhov, A. Yu 6 Sumelka, Wojciech 6 Sweilam, Nasser Hassan 6 Tian, Xue 6 Xavier, Gnanadhass Britto Antony 6 Zhang, Xiaotian 5 Abbas, Said 5 Ahmadian, Ali 5 Allahverdiev, Bilender Paşaoğlu 5 Al-saedi, Ahmed Eid Salem 5 Alzabut, Jehad O. 5 Benchohra, Mouffak 5 Brito da Cruz, Artur M. 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Mathematical, Physical and Engineering Sciences 3 Physica A 3 Rocky Mountain Journal of Mathematics 3 Collectanea Mathematica 3 Numerical Functional Analysis and Optimization ...and 184 more Serials all top 5 Cited in 51 Fields 661 Ordinary differential equations (34-XX) 587 Real functions (26-XX) 443 Calculus of variations and optimal control; optimization (49-XX) 261 Biology and other natural sciences (92-XX) 243 Partial differential equations (35-XX) 198 Difference and functional equations (39-XX) 192 Systems theory; control (93-XX) 168 Numerical analysis (65-XX) 101 Mechanics of particles and systems (70-XX) 88 Operator theory (47-XX) 81 Dynamical systems and ergodic theory (37-XX) 56 Integral equations (45-XX) 53 Special functions (33-XX) 48 Probability theory and stochastic processes (60-XX) 39 Operations research, mathematical programming (90-XX) 30 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 26 Fluid mechanics (76-XX) 23 Mechanics of deformable solids (74-XX) 22 Integral transforms, operational calculus (44-XX) 21 Quantum theory (81-XX) 17 Approximations and expansions (41-XX) 16 Measure and integration (28-XX) 13 Global analysis, analysis on manifolds (58-XX) 12 Functional analysis (46-XX) 11 Relativity and gravitational theory (83-XX) 10 Statistical mechanics, structure of matter (82-XX) 10 Information and communication theory, circuits (94-XX) 9 Combinatorics (05-XX) 9 Classical thermodynamics, heat transfer (80-XX) 8 Differential geometry (53-XX) 8 Statistics (62-XX) 8 Computer science (68-XX) 6 General and overarching topics; collections (00-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 4 Number theory (11-XX) 4 Potential theory (31-XX) 4 Convex and discrete geometry (52-XX) 4 General topology (54-XX) 4 Optics, electromagnetic theory (78-XX) 4 Geophysics (86-XX) 3 History and biography (01-XX) 3 Functions of a complex variable (30-XX) 2 Nonassociative rings and algebras (17-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Sequences, series, summability (40-XX) 2 Astronomy and astrophysics (85-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Geometry (51-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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