Delfim F. M. Torres

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Professor and Researcher

Universidade de Aveiro

Portugal

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About

Delfim F. M. Torres is a Professor and Researcher at Universidade de Aveiro, Portugal. His research focuses on mathematical modeling in various fields, including stochastic systems, fractional calculus, and the dynamics of infectious diseases such as COVID-19. Recent publications highlight his work on optimization in cancer treatment, time-scale models, and the controllability of fractional differential systems.

Recent Grants

Grant: Close

Theory, Applications and Numerics of Optimal Control

Open Date: 2016-06-01

Close Date: 2019-10-01

Grant: Close

Optimal Control: Health, Energy and Robotics Applications

Open Date: 2013-07-01

Close Date: 2015-06-30

Grant: Close

Optimal Control: Health, Energy and Robotics Applications

Open Date: 2013-07-01

Close Date: 2015-09-01

Grant: Close

Scattering of billiards and applications to aerodynamics of rarefied media

Open Date: 2011-01-01

Close Date: 2013-12-31

Grant: Close

Scattering of billiards and applications to aerodynamics of rarefied media

Open Date: 2011-01-01

Close Date: 2013-12-01

Articles (29)

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Collaborators (5)

João Vidal

University of Aveiro

PORTUGAL

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Hélder A. Santos

University of Helsinki

FINLAND

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Sandra Vaz

Prof. Dr.

Universidade da Beira Interior

PORTUGAL

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Cristiana Silva

Assistant Professor

ISCTE-Instituto Universitário de Lisboa

PORTUGAL

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Marco P. Soares dos Santos

Assistant Professor

Universidade de Aveiro

PORTUGAL

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Delfim F. M. Torres

Research Interests

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About

Recent Grants

Articles (29)

Exact solution for a discrete-time SIR model

Logistic equation on time scales

Modeling and Transmission Dynamics of a Stochastic Fractional Delay Cervical Cancer Model with Efficient Numerical Analysis

Optimization of Endocrine and p53 Combination Therapies in Estrogen-Receptor Positive Breast Cancer Treatment

A consistent SIR model on time scales with exact solution

Existence and uniqueness of mild solutions for a class of psi-Caputo time-fractional systems of order from one to two

Analysis of a Shear beam model with suspenders in thermoelasticity of type III

Gradient Mittag-Leffler and strong stabilizability of time fractional diffusion processes

A model for the dynamics of COVID-19 infection transmission in human with latent delay

Controllability and observability of tempered fractional differential systems

Fractional modelling of COVID-19 transmission incorporating asymptomatic and super-spreader individuals

Next-generation chemotherapy treatments based on black hole algorithms: From cancer remission to chronic disease management

Modeling the dynamics of the Hepatitis B virus via a variable-order discrete system

Modeling blood alcohol concentration using fractional differential equations based on the ψ‐Caputo derivative

The Duality Theory of Fractional Calculus and a New Fractional Calculus of Variations Involving Left Operators Only

Boundary controllability of Riemann–Liouville fractional semilinear equations

Dynamics of a model of polluted lakes via fractal–fractional operators with two different numerical algorithms

Existence and uniqueness of solution for fractional differential equations with integral boundary conditions and the Adomian decomposition method

A necessary optimality condition for extended weighted generalized fractional optimal control problems

Generalized Taylor’s formula for power fractional derivatives

Regional gradient observability for fractional differential equations with Caputo time-fractional derivatives

An Analytic Method to Determine the Optimal Time for the Induction Phase of Anesthesia

Existence, uniqueness, and controllability for Hilfer differential equations on times scales

Optimal control for a nonlinear stochastic PDE model of cancer growth

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

A non-Newtonian Noether's symmetry theorem

Dynamics of a Double-Impulsive Control Model of Integrated Pest Management Using Perturbation Methods and Floquet Theory

Three-Species Predator–Prey Stochastic Delayed Model Driven by Lévy Jumps and with Cooperation among Prey Species

Numerical Fractional Optimal Control of Respiratory Syncytial Virus Infection in Octave/MATLAB

Collaborators (5)

João Vidal

Hélder A. Santos

Sandra Vaz

Cristiana Silva

Marco P. Soares dos Santos

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