Delfim F. M. Torres
University of Aveiro
740 Papers
4.6K Citations
Delfim F. M. Torres is an academic researcher from University of Aveiro. The author has contributed to research in topics: Fractional calculus & Optimal control. The author has an hindex of 60, co-authored 701 publications. Previous affiliations of Delfim F. M. Torres include University of Münster & Polytechnic Institute of Viana do Castelo.
Chat about Author
Papers
The Variational Calculus on Time Scales
TL;DR: In this paper, a general approach to the calculus of variations on time scales that allows to obtain both delta and nabla results as particular cases is presented. But this approach is not unique, and two approaches are followed in the literature: one dealing with minimization of delta integrals; the other dealing with minimizing the nabla integrals.
An Optimal Control Approach to Herglotz Variational Problems
Simao P. S. Santos,Natália Martins,Delfim F. M. Torres +2 more
- 05 Feb 2014
TL;DR: In this article, the authors address the generalized variational problem of Herglotz from an optimal control point of view and derive a generalized Euler-Lagrange equation, a transversality condition, a DuBois-Reymond necessary optimality condition and Noether's theorem for piecewise smooth functions.
Optimal control of nonlocal thermistor equations
TL;DR: Existence of an optimal control is proved, and the optimality system consisting of the state system coupled with adjoint equations is derived, together with a characterisation of the optimal control, and uniqueness of solution to the Optimality system is established.
Vaccination models and optimal control strategies to dengue
TL;DR: This work simulates the development of a dengue vaccine as a hypothetical vaccine as an extra protection to the population and examines different ways of distributing the vaccines investigated: pediatric and random mass vaccines, with distinct levels of efficacy and durability.
Uniform asymptotic stability of a fractional tuberculosis model
TL;DR: In this paper, a Caputo type fractional-order mathematical model for the transmission dynamics of tuberculosis (TB) is proposed and the unique endemic equilibrium of the fractional order TB model is proved, for any α ∈ (0, 1).