Fractional Variations for Dynamical Systems: Hamilton and Lagrange Approaches

Abstract

Fractional generalization of an exterior derivative for calculus of variations is defined. The Hamilton and Lagrange approaches are considered. Fractional Hamilton and Euler-Lagrange equations are derived. Fractional equations of motion are obtained by fractional variation of Lagrangian and Hamiltonian that have only integer derivatives.

21 pages, LaTeX

References in corpus (6)

• Fractional Quantum Mechanics
• Fractional Hydrodynamic Equations for Fractal Media
• Fractional Liouville and BBGKI Equations
• Possible Experimental Test of Continuous Medium Model for Fractal Media
• Transport Equations from Liouville Equations for Fractional Systems
• Fractional Differential Forms II

Cited by in corpus (5)

• Fractional conservation laws in optimal control theory
• Fractional Action-Like Variational Problems
• Conservation Laws and Hamilton's Equations for Systems with Long-Range Interaction and Memory
• Stochastic Fractional HP Equations
• Generalized fractional hybrid Hamilton Pontryagin equations