128 citations · 455 across the 16 of their papers we have counts for
4 papers · 2 filters
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,…
Variable Order Fractional Variational Calculus for Double Integrals
Tatiana Odzijewicz, Agnieszka B. Malinowska, Delfim F. M. Torres
We introduce three types of partial fractional operators of variable order. An integration by parts formula for partial fractional integrals of variable order and an extension of G…
Existence of Minimizers for Fractional Variational Problems Containing Caputo Derivatives
Loïc Bourdin, Tatiana Odzijewicz, Delfim F. M. Torres
We study dynamic minimization problems of the calculus of variations with Lagrangian functionals containing Riemann-Liouville fractional integrals, classical and Caputo fractional…
Fractional Calculus of Variations in Terms of a Generalized Fractional Integral with Applications to Physics
Tatiana Odzijewicz, Agnieszka B. Malinowska, Delfim F. M. Torres
We study fractional variational problems in terms of a generalized fractional integral with Lagrangians depending on classical derivatives, generalized fractional integrals and der…