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- Delfim F. M. Torres4 profiles62 · h 65
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- University of CoimbraPT16 papers
- Centre National de la Recherche ScientifiqueFR15 papers
- Bialystok University of TechnologyPL11 papers
- Institut de Mécanique Céleste et de Calcul des ÉphéméridesFR11 papers
- Physico-Technical InstituteRU10 papers
- Sorbonne UniversitéFR10 papers
- Institute of Theoretical PhysicsCN8 papers
- Lanzhou UniversityCN8 papers
- Weizmann Institute of ScienceIL8 papers
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14 papers · 2 filters
Fractional Optimal Control in the Sense of Caputo and the Fractional Noether's Theorem
Gastao S. F. Frederico, Delfim F. M. Torres
The study of fractional variational problems with derivatives in the sense of Caputo is a recent subject, the main results being Agrawal's necessary optimality conditions of Euler-…
Necessary Optimality Conditions for Fractional Action-Like Problems with Intrinsic and Observer Times
Gastao S. F. Frederico, Delfim F. M. Torres
We prove higher-order Euler-Lagrange and DuBois-Reymond stationary conditions to fractional action-like variational problems. More general fractional action-like optimal control pr…
Fractional conservation laws in optimal control theory
Gastao S. F. Frederico, Delfim F. M. Torres
Using the recent formulation of Noether's theorem for the problems of the calculus of variations with fractional derivatives, the Lagrange multiplier technique, and the fractional…
Evolution Strategies in Optimization Problems
Pedro A. F. Cruz, Delfim F. M. Torres
Evolution Strategies are inspired in biology and part of a larger research field known as Evolutionary Algorithms. Those strategies perform a random search in the space of admissib…
Noether's Theorem on Time Scales
Zbigniew Bartosiewicz, Delfim F. M. Torres
We show that for any variational symmetry of the problem of the calculus of variations on time scales there exists a conserved quantity along the respective Euler-Lagrange extremal…
Regularity of solutions to higher-order integrals of the calculus of variations
Moulay Rchid Sidi Ammi, Delfim F. M. Torres
We obtain new regularity conditions for problems of calculus of variations with higher-order derivatives. As a corollary, we get non-occurrence of the Lavrentiev phenomenon. Our ma…