Hamilton Formulation of Systems with Caputo’s Fractional Derivatives for Continuous Systems

Abstract

Caputo fractional derivatives for classical field systems are investigated using the fractional Hamiltonian formalism. Two continuous examples are worked out to demonstrate the application of the formalism. The resulting equations of motion are found to be in exact agreement with those obtained by using the ordinary Hamiltonian formalism.

Keywords: Caputo fractional derivatives; Lagrangian and Hamiltonian formulation; EulerLagrange equations.