Fractional Action-Like Variational Problems

Abstract

Fractional action-like variational problems have recently gained importance in studying dynamics of nonconservative systems. In this note we address multi-dimensional fractional action-like problems of the calculus of variations.

This is a preprint of an article accepted for publication (28-04-2008) in J. Math. Phys

References in corpus (5)

• A Formulation of Noether's Theorem for Fractional Problems of the Calculus of Variations
• Fractional conservation laws in optimal control theory
• Necessary Optimality Conditions for Fractional Action-Like Integrals of Variational Calculus with Riemann-Liouville Derivatives of Order $(\alpha ,\beta )$
• Non-conservative Noether's theorem for fractional action-like variational problems with intrinsic and observer times
• Necessary Optimality Conditions for Fractional Action-Like Problems with Intrinsic and Observer Times