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

Khaled I. Nawafleh and Raed S. Hijjawi

Abstract

In this work 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.