271 citations · 1.1k across the 27 of their papers we have counts for
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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,…
A Non-Differentiable Quantum Variational Embedding in Presence of Time Delays
Gastao S. F. Frederico, Delfim F. M. Torres
We develop Cresson's non-differentiable embedding to quantum problems of the calculus of variations and optimal control with time delay. Main results show that the dynamics of non-…
Fractional Noether's Theorem with Classical and Riemann-Liouville Derivatives
Gastao S. F. Frederico, Delfim F. M. Torres
We prove a Noether type symmetry theorem to fractional problems of the calculus of variations with classical and Riemann-Liouville derivatives. As result, we obtain constants of mo…
Fractional isoperimetric Noether's theorem in the Riemann-Liouville sense
Gastao S. F. Frederico, Delfim F. M. Torres
We prove Noether-type theorems for fractional isoperimetric variational problems with Riemann-Liouville derivatives. Both Lagrangian and Hamiltonian formulations are obtained. Illu…