most citedA class of fractional optimal control problems and fractional Pontryagin's systems. Existence of a fractional Noether's theorem

2 citations · 2 across the 3 of their papers we have counts for

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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.OC2012

Variational integrator for fractional Pontryagin's systems. Existence of a discrete fractional Noether's theorem

Loïc Bourdin

Fractional Pontryagin's systems emerge in the study of a class of fractional optimal control problems but they are not resolvable in most cases. In this paper, we suggest a numeric…

math.OC2012★ 2 cited

A class of fractional optimal control problems and fractional Pontryagin's systems. Existence of a fractional Noether's theorem

Loïc Bourdin

In this paper, we study a class of fractional optimal control problems. A necessary condition for the existence of an optimal control is provided in the literature. It is commonly…