Lagrangain formulation of fractional field systems

Abstract

<p>This paper presents a Lagrangian formulation of fractional field systems. We extend the variational formulations for fractional discrete systems to fractional field systems defined in terms of Caputo derivatives to obtain the fractional Euler-Lagrange equations of motion. Two examples are studied.</p><p>This paper presents a Lagrangian formulation of fractional field systems. We extend the variational formulations for fractional discrete systems to fractional field systems defined in terms of Caputo derivatives to obtain the fractional Euler-Lagrange equations of motion. Two examples are studied.</p>