271 citations · 1.1k across the 27 of their papers we have counts for
29 papers
Invariantised Euler-Lagrange equations and conserved quantities for nonconservative Herglotz variational problems
Tânia M. N. Gonçalves, Delfim F. M. Torres, Gastão S. F. Frederico
In this paper the structures of the generalised Euler-Lagrange equations and their associated conserved quantities are derived for one-dimensional Herglotz variational problems of…
Fuzzy Variational Calculus in Linearly Correlated Space: Part I
Gastão S. F. Frederico, Estevão Esmi, Laécio C. Barros
This article is the first part of series of articles that aim to present the foundations for fuzzy variational calculus for functions taking values in the space of linearly correla…
Fractional tempered variational calculus
César E. Torres Ledesma, Gastao F. Frederico, Manuel M. Bonilla +1
In this paper, we derive sufficient conditions ensuring the existence of a weak solution for a tempered fractional Euler-Lagrange equations $$ \frac{\partial L}{\partial x}(u,{…
Existence, uniqueness and controllability for Hilfer differential equations on times scales
J. Vanterler da C. Sousa, D. S. Oliveira, Gastao S. F. Frederico +1
We introduce a new version of -Hilfer fractional derivative, on an arbitrary time scale. The fundamental properties of the new operator are investigated and, in particular, we p…
Calculus of variations and optimal control for generalized functions
Gastao S. F. Frederico, Paolo Giordano, Alexandr A. Bryzgalov +1
We present an extension of some results of higher order calculus of variations and optimal control to generalized functions. The framework is the category of generalized smooth fun…
Noether-type theorem for fractional variational problems depending on fractional derivatives of functions
M. J. Lazo, G. S. F. Frederico, P. M. Carvalho-Neto
In the present work, by taking advantage of a so-called practical limitation of fractional derivatives, namely, the absence of a simple chain and Leibniz's rules, we proposed a gen…