197 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- University of AveiroPT14 papers
- Universidade Federal de Santa CatarinaBR4 papers
- Universidade Federal do Rio GrandeBR3 papers
- University of Beira InteriorPT3 papers
- Brazilian Institute of Geography and StatisticsBR1 paper
- Iscte – Instituto Universitário de LisboaPT1 paper
- Kwame Nkrumah University of Science and TechnologyGH1 paper
- National Research Nuclear University MEPhIRU1 paper
- Saveetha UniversityIN1 paper
- Universidade Federal do Espírito SantoBR1 paper
- Université Mustapha Stambouli de MascaraDZ1 paper
- University of Arkansas at Little RockUS1 paper
9 papers · 1 filter
Finite time stability of tempered fractional systems with time delays
Hanaa Zitane, Delfim F. M. Torres
We investigate the notion of finite time stability for tempered fractional systems (TFSs) with time delays and variable coefficients. Then, we examine some sufficient conditions th…
An Analytic Method to Determine the Optimal Time for the Induction Phase of Anesthesia
Mohamed A. Zaitri, Cristiana J. Silva, Delfim F. M. Torres
We obtain an analytical solution for the time-optimal control problem in the induction phase of anesthesia. Our solution is shown to align numerically with the results obtained fro…
Hight-order Noether's Theorem for Nonsmooth Extremals of Isoperimetric Variational Problems with Time Delay
G. S. F. Frederico, M. J. Lazo
We obtain a nonsmooth higher-order extension of Noether's symmetry theorem for variational isoperimetric problems with delayed arguments. The result is proved to be valid in the cl…
Noether's Theorem with Momentum and Energy Terms for Cresson's Quantum Variational Problems
Gastao S. F. Frederico, Delfim F. M. Torres
We prove a DuBois-Reymond necessary optimality condition and a Noether symmetry theorem to the recent quantum variational calculus of Cresson. The results are valid for problems of…
Noether's Theorem for Nonsmooth Extremals of Variational Problems with Time Delay
Gastao S. F. Frederico, Tatiana Odzijewicz, Delfim F. M. Torres
We obtain a nonsmooth extension of Noether's symmetry theorem for variational problems with delayed arguments. The result is proved to be valid in the class of Lipschitz functions,…
Fractional Noether's theorem in the Riesz-Caputo sense
Gastao S. F. Frederico, Delfim F. M. Torres
We prove a Noether's theorem for fractional variational problems with Riesz-Caputo derivatives. Both Lagrangian and Hamiltonian formulations are obtained. Illustrative examples in…
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…
Conservation laws for invariant functionals containing compositions
Gastao S. F. Frederico, Delfim F. M. Torres
The study of problems of the calculus of variations with compositions is a quite recent subject with origin in dynamical systems governed by chaotic maps. Available results are red…