Fractional Noether's theorem in the Riesz-Caputo sense

Abstract

We prove a Noether's theorem for fractional variational problems with Riesz-Caputo derivatives. Both Lagrangian and Hamiltonian formulations are obtained. Illustrative examples in the fractional context of the calculus of variations and optimal control are given.

Accepted (25/Jan/2010) for publication in Applied Mathematics and Computation

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Cited by in corpus (6)

• Discrete-Time Fractional Variational Problems
• The generalized natural boundary conditions for fractional variational problems in terms of the Caputo derivative
• Fractional variational calculus for nondifferentiable functions
• Leitmann's direct method for fractional optimization problems
• Composition Functionals in Fractional Calculus of Variations
• Fractional Calculus of Variations for Double Integrals