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- Delfim F. M. Torres4 profiles50 · h 65
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- University of CoimbraPT14 papers
- Centre National de la Recherche ScientifiqueFR12 papers
- Institut de Mécanique Céleste et de Calcul des ÉphéméridesFR9 papers
- Institute of Theoretical PhysicsCN8 papers
- Lanzhou UniversityCN8 papers
- Physico-Technical InstituteRU8 papers
- Weizmann Institute of ScienceIL8 papers
- Sorbonne UniversitéFR7 papers
- Polytechnic Institute of BragançaPT6 papers
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6 papers · 2 filters
Delta-Nabla Isoperimetric Problems
Agnieszka B. Malinowska, Delfim F. M. Torres
We prove general necessary optimality conditions for delta-nabla isoperimetric problems of the calculus of variations.
Optimality conditions for the calculus of variations with higher-order delta derivatives
Rui A. C. Ferreira, Agnieszka B. Malinowska, Delfim F. M. Torres
We prove the Euler-Lagrange delta-differential equations for problems of the calculus of variations on arbitrary time scales with delta-integral functionals depending on higher-ord…
Noether's symmetry theorem for nabla problems of the calculus of variations
Natalia Martins, Delfim F. M. Torres
We prove a Noether-type symmetry theorem and a DuBois-Reymond necessary optimality condition for nabla problems of the calculus of variations on time scales.
Insecticide control in a Dengue epidemics model
Helena Sofia Rodrigues, M. Teresa T. Monteiro, Delfim F. M. Torres
A model for the transmission of dengue disease is presented. It consists of eight mutually-exclusive compartments representing the human and vector dynamics. It also includes a con…
Modified Optimal Energy and Initial Memory of Fractional Continuous-Time Linear Systems
Dorota Mozyrska, Delfim F. M. Torres
Fractional systems with Riemann-Liouville derivatives are considered. The initial memory value problem is posed and studied. We obtain explicit steering laws with respect to the va…
Necessary and sufficient conditions for the fractional calculus of variations with Caputo derivatives
Ricardo Almeida, Delfim F. M. Torres
We prove optimality conditions for different variational functionals containing left and right Caputo fractional derivatives. A sufficient condition of minimization under an approp…