On the Noether Theorem for Optimal Control. - Delfim F. M. Torres (Eur. J. Control, 2002)

Lipschitzian Regularity of the Minimizing Trajectories for Nonlinear Optimal Control Problems. - Delfim F. M. Torres (Math. Control. Signals Syst., 2003)

Numerical method of vibrations Research in Large flexible Systems. - Olena V. Mul; Delfim F. M. Torres (Int. J. Comput., 2005)

Regularity of solutions to higher-order integrals of the calculus of variations. - Moulay Rchid Sidi Ammi; Delfim F. M. Torres (Int. J. Syst. Sci., 2008)

Numerical analysis of a nonlocal parabolic problem resulting from thermistor problem. - Moulay Rchid Sidi Ammi; Delfim F. M. Torres (Math. Comput. Simul., 2008)

Two-dimensional body of maximum mean resistance. - Paulo D. F. Gouveia; Alexander Plakhov; Delfim F. M. Torres (Appl. Math. Comput., 2009)

Calculus of variations with fractional derivatives and fractional integrals. - Ricardo Almeida 001; Delfim F. M. Torres (Appl. Math. Lett., 2009)

Generalized retarded integral inequalities. - Rui A. C. Ferreira; Delfim F. M. Torres (Appl. Math. Lett., 2009)

Leitmann's direct method for fractional optimization problems. - Ricardo Almeida 001; Delfim F. M. Torres (Appl. Math. Comput., 2010)

Fractional Noether's theorem in the Riesz-Caputo sense. - Gastão S. F. Frederico; Delfim F. M. Torres (Appl. Math. Comput., 2010)

Leitmann's direct method of optimization for absolute extrema of certain problems of the calculus of variations on time scales. - Agnieszka B. Malinowska; Delfim F. M. Torres (Appl. Math. Comput., 2010)

Noether's symmetry theorem for nabla problems of the calculus of variations. - Natália Martins; Delfim F. M. Torres (Appl. Math. Lett., 2010)

Generalized natural boundary conditions for fractional variational problems in terms of the Caputo derivative. - Agnieszka B. Malinowska; Delfim F. M. Torres (Comput. Math. Appl., 2010)

Backward linear control systems on time scales. - Ewa Pawluszewicz; Delfim F. M. Torres (Int. J. Control, 2010)

A non-classical class of variational problems. - João Pedro Cruz; Delfim F. M. Torres; Alan Zinober (Int. J. Math. Model. Numer. Optimisation, 2010)

The Hahn Quantum Variational Calculus. - Agnieszka B. Malinowska; Delfim F. M. Torres (J. Optim. Theory Appl., 2010)

Dynamics of Dengue epidemics when using optimal control. - Helena Sofia Rodrigues; M. Teresa T. Monteiro; Delfim F. M. Torres (Math. Comput. Model., 2010)

Optimality conditions for the calculus of variations with higher-order delta derivatives. - Rui A. C. Ferreira; Agnieszka B. Malinowska; Delfim F. M. Torres (Appl. Math. Lett., 2011)

Fractional variational calculus for nondifferentiable functions. - Ricardo Almeida 001; Delfim F. M. Torres (Comput. Math. Appl., 2011)

Generalizing the variational theory on time scales to include the delta indefinite integral. - Natália Martins; Delfim F. M. Torres (Comput. Math. Appl., 2011)

Optimal control of a dengue epidemic model with vaccination - Helena Sofia Rodrigues; M. Teresa T. Monteiro; Delfim F. M. Torres (CoRR, 2011)

The Second Euler-Lagrange Equation of Variational Calculus on Time Scales. - Zbigniew Bartosiewicz; Natália Martins; Delfim F. M. Torres (Eur. J. Control, 2011)

Guest Editorial. - Maria do Rosário de Pinho; Fernando A. C. C. Fontes; Delfim F. M. Torres (Eur. J. Control, 2011)

Transversality conditions for infinite horizon variational problems on time scales. - Agnieszka B. Malinowska; Natália Martins; Delfim F. M. Torres (Optim. Lett., 2011)

A general backwards calculus of variations via duality. - Agnieszka B. Malinowska; Delfim F. M. Torres (Optim. Lett., 2011)

Discrete-time fractional variational problems. - Nuno R. O. Bastos; Rui A. C. Ferreira; Delfim F. M. Torres (Signal Process., 2011)

Modified optimal energy and initial memory of fractional continuous-time linear systems. - Dorota Mozyrska; Delfim F. M. Torres (Signal Process., 2011)

Fractional Noether's theorem with classical and Riemann-Liouville derivatives. - Gastão S. F. Frederico; Delfim F. M. Torres (CDC, 2012)

Variable order fractional variational calculus for double integrals. - Tatiana Odzijewicz; Agnieszka B. Malinowska; Delfim F. M. Torres (CDC, 2012)

Multiobjective fractional variational calculus in terms of a combined Caputo derivative. - Agnieszka B. Malinowska; Delfim F. M. Torres (Appl. Math. Comput., 2012)

The existence of solutions for dynamic inclusions on time scales via duality. - Ewa Girejko; Delfim F. M. Torres (Appl. Math. Lett., 2012)

Time scale differential, integral, and variational embeddings of Lagrangian systems. - Jacky Cresson; Agnieszka B. Malinowska; Delfim F. M. Torres (Comput. Math. Appl., 2012)

Higher-order infinite horizon variational problems in discrete quantum calculus. - Natália Martins; Delfim F. M. Torres (Comput. Math. Appl., 2012)

Generalized fractional calculus with applications to the calculus of variations. - Tatiana Odzijewicz; Agnieszka B. Malinowska; Delfim F. M. Torres (Comput. Math. Appl., 2012)

Approximation of fractional integrals by means of derivatives. - Shakoor Pooseh; Ricardo Almeida 001; Delfim F. M. Torres (Comput. Math. Appl., 2012)

Dengue disease, basic reproduction number and control. - Helena Sofia Rodrigues; M. Teresa T. Monteiro; Delfim F. M. Torres; Alan Zinober (Int. J. Comput. Math., 2012)

Optimal control of nonlocal thermistor equations. - Moulay Rchid Sidi Ammi; Delfim F. M. Torres (Int. J. Control, 2012)

Necessary Optimality Conditions for Higher-Order Infinite Horizon Variational Problems on Time Scales. - Natália Martins; Delfim F. M. Torres (J. Optim. Theory Appl., 2012)

Free time fractional optimal control problems. - Shakoor Pooseh; Ricardo Almeida 001; Delfim F. M. Torres (ECC, 2013)

Optimal control strategies for reducing the number of active infected individuals with tuberculosis. - Paula Rodrigues; Cristiana J. Silva; Delfim F. M. Torres (SIAM Conf. on Control and its Applications, 2013)

Symmetric differentiation on time scales. - Artur M. C. Brito da Cruz; Natália Martins; Delfim F. M. Torres (Appl. Math. Lett., 2013)

Discrete direct methods in the fractional calculus of variations. - Shakoor Pooseh; Ricardo Almeida 001; Delfim F. M. Torres (Comput. Math. Appl., 2013)

Bioeconomic perspectives to an optimal control dengue model. - Helena Sofia Rodrigues; M. Teresa T. Monteiro; Delfim F. M. Torres (Int. J. Comput. Math., 2013)

Approximate controllability of fractional nonlocal delay semilinear systems in Hilbert spaces. - Amar Debbouche; Delfim F. M. Torres (Int. J. Control, 2013)

The DuBois-Reymond Fundamental Lemma of the Fractional Calculus of Variations and an Euler-Lagrange Equation Involving Only Derivatives of Caputo. - Matheus J. Lazo; Delfim F. M. Torres (J. Optim. Theory Appl., 2013)

Approximate controllability of fractional delay dynamic inclusions with nonlocal control conditions. - Amar Debbouche; Delfim F. M. Torres (Appl. Math. Comput., 2014)

Modeling TB-HIV Syndemic and Treatment. - Cristiana J. Silva; Delfim F. M. Torres (J. Appl. Math., 2014)

Quantum Variational Calculus - Agnieszka B. Malinowska; Delfim F. M. Torres (Springer, 2014)

Computing Hadamard type operators of variable fractional order. - Ricardo Almeida 001; Delfim F. M. Torres (Appl. Math. Comput., 2015)

Pressure responses of a vertically hydraulic fractured well in a reservoir with fractal structure. - Kambiz Razminia; Abolhassan Razminia; Delfim F. M. Torres (Appl. Math. Comput., 2015)

Multiobjective approach to optimal control for a tuberculosis model. - Roman Denysiuk; Cristiana J. Silva; Delfim F. M. Torres (Optim. Methods Softw., 2015)

A fractional calculus on arbitrary time scales: Fractional differentiation and fractional integration. - Nadia Benkhettou; Artur M. C. Brito da Cruz; Delfim F. M. Torres (Signal Process., 2015)

Duality for the left and right fractional derivatives. - M. Cristina Caputo; Delfim F. M. Torres (Signal Process., 2015)

Exponentials and Laplace transforms on nonuniform time scales. - Manuel Duarte Ortigueira; Delfim F. M. Torres; Juan J. Trujillo (Commun. Nonlinear Sci. Numer. Simul., 2016)

Caputo derivatives of fractional variable order: Numerical approximations. - Dina Tavares; Ricardo Almeida 001; Delfim F. M. Torres (Commun. Nonlinear Sci. Numer. Simul., 2016)

Dynamics and Optimal Control of Ebola Transmission. - Amira Rachah; Delfim F. M. Torres (Math. Comput. Sci., 2016)

Galerkin spectral method for the fractional nonlocal thermistor problem. - Moulay Rchid Sidi Ammi; Delfim F. M. Torres (Comput. Math. Appl., 2017)

Mathematical Modeling and Control of Infectious Diseases. - Gul Zaman; Il Hyo Jung; Delfim F. M. Torres; Anwar Zeb (Comput. Math. Methods Medicine, 2017)

Hyperchaotic Fractional-Order Systems and Their Applications. - Ahmed Elsaid; Delfim F. M. Torres; Sachin Bhalekar; Abdelalim Elsadany; Amr Elsonbaty (Complex., 2017)

Non-differentiable Solutions for Local Fractional Nonlinear Riccati Differential Equations. - Xiaojun Yang 001; H. M. Srivastava 001; Delfim F. M. Torres; Yudong Zhang 001 (Fundam. Informaticae, 2017)

Variational calculus with conformable fractional derivatives. - Matheus J. Lazo; Delfim F. M. Torres (IEEE CAA J. Autom. Sinica, 2017)

Constrained fractional variational problems of variable order. - Dina Tavares; Ricardo Almeida 001; Delfim F. M. Torres (IEEE CAA J. Autom. Sinica, 2017)

Existence of solution to a local fractional nonlinear differential equation. - Benaoumeur Bayour; Delfim F. M. Torres (J. Comput. Appl. Math., 2017)

A generalized Lyapunov's inequality for a fractional boundary value problem. - Amar Chidouh; Delfim F. M. Torres (J. Comput. Appl. Math., 2017)

An epidemic model for cholera with optimal control treatment. - Ana P. Lemos-Paião; Cristiana J. Silva; Delfim F. M. Torres (J. Comput. Appl. Math., 2017)

Optimal Solutions to Relaxation in Multiple Control Problems of Sobolev Type with Nonlocal Nonlinear Fractional Differential Equations. - Amar Debbouche; Juan J. Nieto 001; Delfim F. M. Torres (J. Optim. Theory Appl., 2017)

A Simple Accurate Method for Solving Fractional Variational and Optimal Control Problems. - Salman Jahanshahi; Delfim F. M. Torres (J. Optim. Theory Appl., 2017)

A stochastic SICA epidemic model for HIV transmission. - Jasmina Djordjevic; Cristiana J. Silva; Delfim F. M. Torres (Appl. Math. Lett., 2018)

Regional Enlarged Observability of Fractional Differential Equations with Riemann - Liouville Time Derivatives. - Hayat Zouiten; Ali Boutoulout; Delfim F. M. Torres (Axioms, 2018)

A survey on fuzzy fractional differential and optimal control nonlocal evolution equations. - Ravi P. Agarwal; Dumitru Baleanu; Juan J. Nieto 001; Delfim F. M. Torres; Yong Zhou 005 (J. Comput. Appl. Math., 2018)

Combined fractional variational problems of variable order and some computational aspects. - Dina Tavares; Ricardo Almeida 001; Delfim F. M. Torres (J. Comput. Appl. Math., 2018)

Analysis and Optimal Control of an Intracellular Delayed HIV Model with CTL Immune Response. - Karam Allali; Sanaa Harroudi; Delfim F. M. Torres (Math. Comput. Sci., 2018)

A finite element approximation for a class of Caputo time-fractional diffusion equations. - Moulay Rchid Sidi Ammi; Ismail Jamiai; Delfim F. M. Torres (Comput. Math. Appl., 2019)

Optimal control of a nonlocal thermistor problem with ABC fractional time derivatives. - Moulay Rchid Sidi Ammi; Delfim F. M. Torres (Comput. Math. Appl., 2019)

A numerical approach for solving fractional optimal control problems using modified hat functions. - Somayeh Nemati; Pedro Miguel Lima; Delfim F. M. Torres (Commun. Nonlinear Sci. Numer. Simul., 2019)

Direct transcription methods based on fractional integral approximation formulas for solving nonlinear fractional optimal control problems. - Abubakar Bello Salati; Mostafa Shamsi; Delfim F. M. Torres (Commun. Nonlinear Sci. Numer. Simul., 2019)

Traveling wave solutions of some important Wick-type fractional stochastic nonlinear partial differential equations. - Hyunsoo Kim; Rathinasamy Sakthivel; Amar Debbouche; Delfim F. M. Torres (CoRR, 2019)

Numerical Optimal Control of HIV Transmission in Octave/MATLAB. - Carlos Campos; Cristiana J. Silva; Delfim F. M. Torres (CoRR, 2019)

Stability of a fractional HIV/AIDS model. - Cristiana J. Silva; Delfim F. M. Torres (Math. Comput. Simul., 2019)

Optimal Impulse Control of Dynamical Systems. - Alexey B. Piunovskiy; Alexander Plakhov; Delfim F. M. Torres; Yi Zhang 027 (SIAM J. Control. Optim., 2019)

Some inequalities for interval-valued functions on time scales. - Dafang Zhao; Guoju Ye; Wei Liu 088; Delfim F. M. Torres (Soft Comput., 2019)

Distributed-Order Non-Local Optimal Control. - Faïçal Ndaïrou; Delfim F. M. Torres (Axioms, 2020)

Application of Bernoulli Polynomials for Solving Variable-Order Fractional Optimal Control-Affine Problems. - Somayeh Nemati; Delfim F. M. Torres (Axioms, 2020)

Optimal Control of Aquatic Diseases: A Case Study of Yemen's Cholera Outbreak. - Ana P. Lemos-Paião; Cristiana J. Silva; Delfim F. M. Torres; Ezio Venturino (J. Optim. Theory Appl., 2020)

Cauchy's formula on nonempty closed sets and a new notion of Riemann-Liouville fractional integral on time scales. - Delfim F. M. Torres (Appl. Math. Lett., 2021)

Hybrid Method for Simulation of a Fractional COVID-19 Model with Real Case Application. - Anwarud Din; Amir Khan; Anwar Zeb; Moulay Rchid Sidi Ammi; Mouhcine Tilioua; Delfim F. M. Torres (Axioms, 2021)

Nabla Fractional Derivative and Fractional Integral on Time Scales. - Bikash Gogoi; Utpal Kumar Saha; Bipan Hazarika; Delfim F. M. Torres; Hijaz Ahmad (Axioms, 2021)

Modeling and Forecasting of COVID-19 Spreading by Delayed Stochastic Differential Equations. - Marouane Mahrouf; Adnane Boukhouima; Houssine Zine; El Mehdi Lotfi; Delfim F. M. Torres; Noura Yousfi (Axioms, 2021)

Mathematical Analysis of a Fractional COVID-19 Model Applied to Wuhan, Spain and Portugal. - Faïçal Ndaïrou; Delfim F. M. Torres (Axioms, 2021)

On a Non-Newtonian Calculus of Variations. - Delfim F. M. Torres (Axioms, 2021)

A Discrete-Time Compartmental Epidemiological Model for COVID-19 with a Case Study for Portugal. - Sandra Vaz; Delfim F. M. Torres (Axioms, 2021)

A dynamically-consistent nonstandard finite difference scheme for the SICA model. - Sandra Vaz; Delfim F. M. Torres (CoRR, 2021)

Numerical Solution of Variable-Order Fractional Differential Equations Using Bernoulli Polynomials. - Somayeh Nemati; Pedro Miguel Lima; Delfim F. M. Torres (CoRR, 2021)

Global Stability of a Caputo Fractional SIRS Model with General Incidence Rate. - Moulay Rchid Sidi Ammi; Mostafa Tahiri; Delfim F. M. Torres (Math. Comput. Sci., 2021)

Numerical solution of a class of third-kind Volterra integral equations using Jacobi wavelets. - Somayeh Nemati; Pedro Miguel Lima; Delfim F. M. Torres (Numer. Algorithms, 2021)

A new spectral method based on two classes of hat functions for solving systems of fractional differential equations and an application to respiratory syncytial virus infection. - Somayeh Nemati; Delfim F. M. Torres (Soft Comput., 2021)

Controlling crop pest with a farming awareness based integrated approach and optimal control. - Teklebirhan Abraha; Fahad Al Basir; Legesse Lemecha Obsu; Delfim F. M. Torres (Comput. Math. Methods, 2021)

Existence Results for a Multipoint Fractional Boundary Value Problem in the Fractional Derivative Banach Space. - Djalal Boucenna; Amar Chidouh; Delfim F. M. Torres (Axioms, 2022)

Minimum Energy Problem in the Sense of Caputo for Fractional Neutral Evolution Systems in Banach Spaces. - Zoubida Ech-chaffani; Ahmed Aberqi; Touria Karite; Delfim F. M. Torres (Axioms, 2022)

Fractional Modelling and Optimal Control of COVID-19 Transmission in Portugal. - Silvério S. Rosa; Delfim F. M. Torres (Axioms, 2022)

Stability Analysis of Delayed COVID-19 Models. - Mohamed Abdelaziz Zaitri; Cristiana J. Silva; Delfim F. M. Torres (Axioms, 2022)

Weighted Generalized Fractional Integration by Parts and the Euler-Lagrange Equation. - Houssine Zine; El Mehdi Lotfi; Delfim F. M. Torres; Noura Yousfi (Axioms, 2022)

Taylor's Formula for Generalized Weighted Fractional Derivatives with Nonsingular Kernels. - Houssine Zine; El Mehdi Lotfi; Delfim F. M. Torres; Noura Yousfi (Axioms, 2022)

Numerical Investigation of the Fractional Oscillation Equations under the Context of Variable Order Caputo Fractional Derivative via Fractional Order Bernstein Wavelets. - Ashish Rayal; Bhagawati Prasad Joshi; Mukesh Pandey; Delfim F. M. Torres (CoRR, 2023)

A Lotka-Volterra type model analyzed through different techniques. - Jorge Pinto; Sandra Vaz; Delfim F. M. Torres (CoRR, 2023)

A class of fractional differential equations via power non-local and non-singular kernels: existence, uniqueness and numerical approximations. - Hanaa Zitane; Delfim F. M. Torres (CoRR, 2023)

Dynamics of a Double-Impulsive Control Model of Integrated Pest Management Using Perturbation Methods and Floquet Theory. - Fahad Al Basir; Jahangir Chowdhury; Delfim F. M. Torres (Axioms, 2023)

On Sharp Bounds of Local Fractional Metric Dimension for Certain Symmetrical Algebraic Structure Graphs. - Amal S. Alali; Shahbaz Ali; Muhammad Adnan; Delfim F. M. Torres (Symmetry, 2023)

Pharmacokinetic/Pharmacodynamic anesthesia model incorporating psi-Caputo fractional derivatives. - Mohamed Abdelaziz Zaitri; Hanaa Zitane; Delfim F. M. Torres (Comput. Biol. Medicine, 2023)

Next-generation chemotherapy treatments based on black hole algorithms: From cancer remission to chronic disease management. - Marco Soares dos Santos; Rodrigo M. C. Bernardo; João V. Vidal; Ana Moreira; Delfim F. M. Torres; Carlos A. R. Herdeiro; Hélder A. Santos; Gil Gonçalves 003 (Comput. Biol. Medicine, 2024)

Modeling Blood Alcohol Concentration Using Fractional Differential Equations Based on the ψ-Caputo Derivative. - Om Kalthoum Wanassi; Delfim F. M. Torres (CoRR, 2024)

Boundary controllability of Riemann-Liouville fractional semilinear equations. - Asmae Tajani; Fatima-Zahrae El Alaoui; Delfim F. M. Torres (Commun. Nonlinear Sci. Numer. Simul., 2024)

An Analytic Method to Determine the Optimal Time for the Induction Phase of Anesthesia. - Mohamed Abdelaziz Zaitri; Cristiana J. Silva; Delfim F. M. Torres (Axioms, 2024)

Controllability and observability of tempered fractional differential systems. - Ilyasse Lamrani; Hanaa Zitane; Delfim F. M. Torres (Commun. Nonlinear Sci. Numer. Simul., 2025)

Analysis of a Shear beam model with suspenders in thermoelasticity of type III. - Meriem Chabekh; Nadhir Chougui; Delfim F. M. Torres (J. Comput. Appl. Math., 2025)