128 citations · 455 across the 16 of their papers we have counts for
14 papers · 1 filter
Generalized Fractional Calculus of Variations
Tatiana Odzijewicz
In this PhD thesis we introduce a generalized fractional calculus of variations. We consider variational problems containing generalized fractional integrals and derivatives, and s…
Existence of minimizers for generalized Lagrangian functionals and a necessary optimality condition --- Application to fractional variational problems
Loïc Bourdin, Tatiana Odzijewicz, Delfim F. M. Torres
We study dynamic minimization problems of the calculus of variations with generalized Lagrangian functionals that depend on a general linear operator and defined on bounded-tim…
The Generalized Fractional Calculus of Variations
Tatiana Odzijewicz, Delfim F. M. Torres
We review the recent generalized fractional calculus of variations. We consider variational problems containing generalized fractional integrals and derivatives and study them usin…
Variational Methods for the Fractional Sturm--Liouville Problem
Malgorzata Klimek, Tatiana Odzijewicz, Agnieszka B. Malinowska
This article is devoted to the regular fractional Sturm--Liouville eigenvalue problem. Applying methods of fractional variational analysis we prove existence of countable set of or…
A Generalized Fractional Calculus of Variations
Tatiana Odzijewicz, Agnieszka B. Malinowska, Delfim F. M. Torres
We study incommensurate fractional variational problems in terms of a generalized fractional integral with Lagrangians depending on classical derivatives and generalized fractional…
Noether's theorem for fractional variational problems of variable order
Tatiana Odzijewicz, Agnieszka B. Malinowska, Delfim F. M. Torres
We prove a necessary optimality condition of Euler-Lagrange type for fractional variational problems with derivatives of incommensurate variable order. This allows us to state a ve…