Constants of motion for fractional action-like variational problems

Abstract

We extend Noether's symmetry theorem to the fractional Riemann-Liouville integral functionals of the calculus of variations recently introduced by El-Nabulsi.

References in corpus (2)

• Quasi-Invariant Optimal Control Problems
• Nonconservative Noether's Theorem in Optimal Control

Cited by in corpus (6)

• Quantum field theory, gravity and cosmology in a fractal universe
• Fractional Action-Like Variational Problems
• Fractional Noether's theorem in the Riesz-Caputo sense
• Geometry and field theory in multi-fractional spacetime
• Necessary Optimality Conditions for Fractional Action-Like Integrals of Variational Calculus with Riemann-Liouville Derivatives of Order $(\alpha ,\beta )$
• Cosmological Models with Fractional Derivatives and Fractional Action Functional