Delfim F. M. Torres

Orcid: 0000-0001-8641-2505

Affiliations:
  • University of Aveiro, Center for Research and Development in Mathematics and Applications, Portugal


According to our database1, Delfim F. M. Torres authored at least 113 papers between 2002 and 2024.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

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Bibliography

2024
An Analytic Method to Determine the Optimal Time for the Induction Phase of Anesthesia.
Axioms, September, 2024

Boundary controllability of Riemann-Liouville fractional semilinear equations.
Commun. Nonlinear Sci. Numer. Simul., April, 2024

Modeling Blood Alcohol Concentration Using Fractional Differential Equations Based on the ψ-Caputo Derivative.
CoRR, 2024

Next-generation chemotherapy treatments based on black hole algorithms: From cancer remission to chronic disease management.
Comput. Biol. Medicine, 2024

2023
Pharmacokinetic/Pharmacodynamic anesthesia model incorporating psi-Caputo fractional derivatives.
Comput. Biol. Medicine, December, 2023

On Sharp Bounds of Local Fractional Metric Dimension for Certain Symmetrical Algebraic Structure Graphs.
Symmetry, October, 2023

Dynamics of a Double-Impulsive Control Model of Integrated Pest Management Using Perturbation Methods and Floquet Theory.
Axioms, April, 2023

A class of fractional differential equations via power non-local and non-singular kernels: existence, uniqueness and numerical approximations.
CoRR, 2023

A Lotka-Volterra type model analyzed through different techniques.
CoRR, 2023

Numerical Investigation of the Fractional Oscillation Equations under the Context of Variable Order Caputo Fractional Derivative via Fractional Order Bernstein Wavelets.
CoRR, 2023

2022
Taylor's Formula for Generalized Weighted Fractional Derivatives with Nonsingular Kernels.
Axioms, 2022

Weighted Generalized Fractional Integration by Parts and the Euler-Lagrange Equation.
Axioms, 2022

Stability Analysis of Delayed COVID-19 Models.
Axioms, 2022

Fractional Modelling and Optimal Control of COVID-19 Transmission in Portugal.
Axioms, 2022

Minimum Energy Problem in the Sense of Caputo for Fractional Neutral Evolution Systems in Banach Spaces.
Axioms, 2022

Existence Results for a Multipoint Fractional Boundary Value Problem in the Fractional Derivative Banach Space.
Axioms, 2022

2021
Controlling crop pest with a farming awareness based integrated approach and optimal control.
Comput. Math. Methods, November, 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.
Soft Comput., 2021

Numerical solution of a class of third-kind Volterra integral equations using Jacobi wavelets.
Numer. Algorithms, 2021

Global Stability of a Caputo Fractional SIRS Model with General Incidence Rate.
Math. Comput. Sci., 2021

Numerical Solution of Variable-Order Fractional Differential Equations Using Bernoulli Polynomials.
CoRR, 2021

A dynamically-consistent nonstandard finite difference scheme for the SICA model.
CoRR, 2021

A Discrete-Time Compartmental Epidemiological Model for COVID-19 with a Case Study for Portugal.
Axioms, 2021

On a Non-Newtonian Calculus of Variations.
Axioms, 2021

Mathematical Analysis of a Fractional COVID-19 Model Applied to Wuhan, Spain and Portugal.
Axioms, 2021

Modeling and Forecasting of COVID-19 Spreading by Delayed Stochastic Differential Equations.
Axioms, 2021

Nabla Fractional Derivative and Fractional Integral on Time Scales.
Axioms, 2021

Hybrid Method for Simulation of a Fractional COVID-19 Model with Real Case Application.
Axioms, 2021

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

2020
Optimal Control of Aquatic Diseases: A Case Study of Yemen's Cholera Outbreak.
J. Optim. Theory Appl., 2020

Application of Bernoulli Polynomials for Solving Variable-Order Fractional Optimal Control-Affine Problems.
Axioms, 2020

Distributed-Order Non-Local Optimal Control.
Axioms, 2020

2019
Some inequalities for interval-valued functions on time scales.
Soft Comput., 2019

Optimal Impulse Control of Dynamical Systems.
SIAM J. Control. Optim., 2019

Stability of a fractional HIV/AIDS model.
Math. Comput. Simul., 2019

Numerical Optimal Control of HIV Transmission in Octave/MATLAB.
CoRR, 2019

Traveling wave solutions of some important Wick-type fractional stochastic nonlinear partial differential equations.
CoRR, 2019

Direct transcription methods based on fractional integral approximation formulas for solving nonlinear fractional optimal control problems.
Commun. Nonlinear Sci. Numer. Simul., 2019

A numerical approach for solving fractional optimal control problems using modified hat functions.
Commun. Nonlinear Sci. Numer. Simul., 2019

Optimal control of a nonlocal thermistor problem with ABC fractional time derivatives.
Comput. Math. Appl., 2019

A finite element approximation for a class of Caputo time-fractional diffusion equations.
Comput. Math. Appl., 2019

2018
Analysis and Optimal Control of an Intracellular Delayed HIV Model with CTL Immune Response.
Math. Comput. Sci., 2018

Combined fractional variational problems of variable order and some computational aspects.
J. Comput. Appl. Math., 2018

A survey on fuzzy fractional differential and optimal control nonlocal evolution equations.
J. Comput. Appl. Math., 2018

Regional Enlarged Observability of Fractional Differential Equations with Riemann - Liouville Time Derivatives.
Axioms, 2018

A stochastic SICA epidemic model for HIV transmission.
Appl. Math. Lett., 2018

2017
A Simple Accurate Method for Solving Fractional Variational and Optimal Control Problems.
J. Optim. Theory Appl., 2017

Optimal Solutions to Relaxation in Multiple Control Problems of Sobolev Type with Nonlocal Nonlinear Fractional Differential Equations.
J. Optim. Theory Appl., 2017

An epidemic model for cholera with optimal control treatment.
J. Comput. Appl. Math., 2017

A generalized Lyapunov's inequality for a fractional boundary value problem.
J. Comput. Appl. Math., 2017

Existence of solution to a local fractional nonlinear differential equation.
J. Comput. Appl. Math., 2017

Constrained fractional variational problems of variable order.
IEEE CAA J. Autom. Sinica, 2017

Variational calculus with conformable fractional derivatives.
IEEE CAA J. Autom. Sinica, 2017

Non-differentiable Solutions for Local Fractional Nonlinear Riccati Differential Equations.
Fundam. Informaticae, 2017

Hyperchaotic Fractional-Order Systems and Their Applications.
Complex., 2017

Mathematical Modeling and Control of Infectious Diseases.
Comput. Math. Methods Medicine, 2017

Galerkin spectral method for the fractional nonlocal thermistor problem.
Comput. Math. Appl., 2017

2016
Dynamics and Optimal Control of Ebola Transmission.
Math. Comput. Sci., 2016

Caputo derivatives of fractional variable order: Numerical approximations.
Commun. Nonlinear Sci. Numer. Simul., 2016

Exponentials and Laplace transforms on nonuniform time scales.
Commun. Nonlinear Sci. Numer. Simul., 2016

2015
Duality for the left and right fractional derivatives.
Signal Process., 2015

A fractional calculus on arbitrary time scales: Fractional differentiation and fractional integration.
Signal Process., 2015

Multiobjective approach to optimal control for a tuberculosis model.
Optim. Methods Softw., 2015

Pressure responses of a vertically hydraulic fractured well in a reservoir with fractal structure.
Appl. Math. Comput., 2015

Computing Hadamard type operators of variable fractional order.
Appl. Math. Comput., 2015

2014
Quantum Variational Calculus
Springer Briefs in Electrical and Computer Engineering, Springer, ISBN: 978-3-319-02747-0, 2014

Modeling TB-HIV Syndemic and Treatment.
J. Appl. Math., 2014

Approximate controllability of fractional delay dynamic inclusions with nonlocal control conditions.
Appl. Math. Comput., 2014

2013
The DuBois-Reymond Fundamental Lemma of the Fractional Calculus of Variations and an Euler-Lagrange Equation Involving Only Derivatives of Caputo.
J. Optim. Theory Appl., 2013

Approximate controllability of fractional nonlocal delay semilinear systems in Hilbert spaces.
Int. J. Control, 2013

Bioeconomic perspectives to an optimal control dengue model.
Int. J. Comput. Math., 2013

Discrete direct methods in the fractional calculus of variations.
Comput. Math. Appl., 2013

Symmetric differentiation on time scales.
Appl. Math. Lett., 2013

Optimal control strategies for reducing the number of active infected individuals with tuberculosis.
Proceedings of the SIAM Conference on Control and its Applications, 2013

Free time fractional optimal control problems.
Proceedings of the 12th European Control Conference, 2013

2012
Necessary Optimality Conditions for Higher-Order Infinite Horizon Variational Problems on Time Scales.
J. Optim. Theory Appl., 2012

Optimal control of nonlocal thermistor equations.
Int. J. Control, 2012

Dengue disease, basic reproduction number and control.
Int. J. Comput. Math., 2012

Approximation of fractional integrals by means of derivatives.
Comput. Math. Appl., 2012

Generalized fractional calculus with applications to the calculus of variations.
Comput. Math. Appl., 2012

Higher-order infinite horizon variational problems in discrete quantum calculus.
Comput. Math. Appl., 2012

Time scale differential, integral, and variational embeddings of Lagrangian systems.
Comput. Math. Appl., 2012

The existence of solutions for dynamic inclusions on time scales via duality.
Appl. Math. Lett., 2012

Multiobjective fractional variational calculus in terms of a combined Caputo derivative.
Appl. Math. Comput., 2012

Variable order fractional variational calculus for double integrals.
Proceedings of the 51th IEEE Conference on Decision and Control, 2012

Fractional Noether's theorem with classical and Riemann-Liouville derivatives.
Proceedings of the 51th IEEE Conference on Decision and Control, 2012

2011
Modified optimal energy and initial memory of fractional continuous-time linear systems.
Signal Process., 2011

Discrete-time fractional variational problems.
Signal Process., 2011

A general backwards calculus of variations via duality.
Optim. Lett., 2011

Transversality conditions for infinite horizon variational problems on time scales.
Optim. Lett., 2011

Guest Editorial.
Eur. J. Control, 2011

The Second Euler-Lagrange Equation of Variational Calculus on Time Scales.
Eur. J. Control, 2011

Optimal control of a dengue epidemic model with vaccination
CoRR, 2011

Generalizing the variational theory on time scales to include the delta indefinite integral.
Comput. Math. Appl., 2011

Fractional variational calculus for nondifferentiable functions.
Comput. Math. Appl., 2011

Optimality conditions for the calculus of variations with higher-order delta derivatives.
Appl. Math. Lett., 2011

2010
Dynamics of Dengue epidemics when using optimal control.
Math. Comput. Model., 2010

The Hahn Quantum Variational Calculus.
J. Optim. Theory Appl., 2010

A non-classical class of variational problems.
Int. J. Math. Model. Numer. Optimisation, 2010

Backward linear control systems on time scales.
Int. J. Control, 2010

Generalized natural boundary conditions for fractional variational problems in terms of the Caputo derivative.
Comput. Math. Appl., 2010

Noether's symmetry theorem for nabla problems of the calculus of variations.
Appl. Math. Lett., 2010

Leitmann's direct method of optimization for absolute extrema of certain problems of the calculus of variations on time scales.
Appl. Math. Comput., 2010

Fractional Noether's theorem in the Riesz-Caputo sense.
Appl. Math. Comput., 2010

Leitmann's direct method for fractional optimization problems.
Appl. Math. Comput., 2010

2009
Generalized retarded integral inequalities.
Appl. Math. Lett., 2009

Calculus of variations with fractional derivatives and fractional integrals.
Appl. Math. Lett., 2009

Two-dimensional body of maximum mean resistance.
Appl. Math. Comput., 2009

2008
Numerical analysis of a nonlocal parabolic problem resulting from thermistor problem.
Math. Comput. Simul., 2008

Regularity of solutions to higher-order integrals of the calculus of variations.
Int. J. Syst. Sci., 2008

2005
Numerical method of vibrations Research in Large flexible Systems.
Int. J. Comput., 2005

2003
Lipschitzian Regularity of the Minimizing Trajectories for Nonlinear Optimal Control Problems.
Math. Control. Signals Syst., 2003

2002
On the Noether Theorem for Optimal Control.
Eur. J. Control, 2002


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