128 citations · 455 across the 16 of their papers we have counts for
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Fractional Calculus of Variations of Several Independent Variables
Tatiana Odzijewicz, Agnieszka B. Malinowska, Delfim F. M. Torres
We prove multidimensional integration by parts formulas for generalized fractional derivatives and integrals. The new results allow us to obtain optimality conditions for multidime…
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…