128 citations · 455 across the 16 of their papers we have counts for
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math.OC2014
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…
math.OC2014
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…
math.OC2014
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…