Fractional Lagrangian and Hamiltonian Formulations in Field Theory

Abstract

The fractional variational principle represents an important part of fractional calculus and has found many applications. There are several versions of fractional variational principles and so different kinds of fractional Euler-Lagrange equations. In this paper, we propose the fractional sine-Gordon Lagrangian density. Then using the fractional Euler-Lagrange equations we obtain fractional sine-Gordon equation.