Hamiltonian formulation of systems with linear velocities within Riemann-Liouville fractional derivatives

TL;DR

This paper explores the relationship between Hamiltonian and Lagrangian formulations for constrained systems involving fractional derivatives, demonstrating their equivalence specifically for systems with linear velocities.

Contribution

It establishes the equivalence between Hamiltonian and Lagrangian approaches for systems with linear velocities using Riemann-Liouville fractional derivatives.

Findings

Hamiltonian and Lagrangian treatments are equivalent for these systems.

The study clarifies the connection between two formulations in fractional derivative systems.

Abstract

The link between the treatments of constrained systems with fractional derivatives by using both Hamiltonian and Lagrangian formulations is studied. It is shown that both treatments for systems with linear velocities are equivalent.