271 citations · 1.1k across the 27 of their papers we have counts for
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Fractional Optimal Control in the Sense of Caputo and the Fractional Noether's Theorem
Gastao S. F. Frederico, Delfim F. M. Torres
The study of fractional variational problems with derivatives in the sense of Caputo is a recent subject, the main results being Agrawal's necessary optimality conditions of Euler-…
Necessary Optimality Conditions for Fractional Action-Like Problems with Intrinsic and Observer Times
Gastao S. F. Frederico, Delfim F. M. Torres
We prove higher-order Euler-Lagrange and DuBois-Reymond stationary conditions to fractional action-like variational problems. More general fractional action-like optimal control pr…
Non-conservative Noether's theorem for fractional action-like variational problems with intrinsic and observer times
Gastao S. F. Frederico, Delfim F. M. Torres
We extend Noether's symmetry theorem to fractional action-like variational problems with higher-order derivatives.
Fractional conservation laws in optimal control theory
Gastao S. F. Frederico, Delfim F. M. Torres
Using the recent formulation of Noether's theorem for the problems of the calculus of variations with fractional derivatives, the Lagrange multiplier technique, and the fractional…
Conservation laws for invariant functionals containing compositions
Gastao S. F. Frederico, Delfim F. M. Torres
The study of problems of the calculus of variations with compositions is a quite recent subject with origin in dynamical systems governed by chaotic maps. Available results are red…
A Formulation of Noether's Theorem for Fractional Problems of the Calculus of Variations
Gastao S. F. Frederico, Delfim F. M. Torres
Fractional (or non-integer) differentiation is an important concept both from theoretical and applicational points of view. The study of problems of the calculus of variations with…