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.
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Papers
Approximated analytical solution to an Ebola optimal control problem
TL;DR: An analytical expression for the optimal control of an Ebola problem is obtained as a first-order approximation to the Pontryagin Maximum Principle via the Euler–Lagrange equation.
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An Optimal Control Approach to Malaria Prevention via Insecticide-Treated Nets
Cristiana J. Silva,Delfim F. M. Torres +1 more
- 30 Jul 2013
TL;DR: In this paper, the authors consider a recent mathematical model for the effects of ITNs on the transmission dynamics of malaria infection, which takes into account the human behavior, and propose and solve an optimal control problem where the aim is to minimize the number of infected humans while keeping the cost as low as possible.
An Optimal Control Approach to Herglotz Variational Problems
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.
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Numerical solution of a class of third-kind Volterra integral equations using Jacobi wavelets
TL;DR: A spectral collocation method, based on the generalized Jacobi wavelets along with the Gauss-Jacobi quadrature formula, for solving a class of third-kind Volterra integral equations, to determine the number of basis functions necessary to attain a certain precision.
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A fractional Gauss–Jacobi quadrature rule for approximating fractional integrals and derivatives
TL;DR: In this paper, an efficient algorithm for computing fractional integrals and derivatives and applying it for solving problems of the calculus of variations of fractional order was introduced, particularly useful for solving fractional boundary value problems.
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