Fractional Klein Gordon equation in terms of Riesz fractional definition

Abstract EN

The fractional form of Klien Gordon lagrangian density is presented using Riesz Caputo fractional derivative.

We used the generalized Euler-Lagrange equation to obtain the equations of motion in terms of Riesz fractional definition.

Expressions for fractional canonical momenta, fractional canonical Hamiltonian and fractional Hamiltonian equations are given in terms of fractional Riesz definition.

The energy stress tensor for Klein Gordon Field are obtained using the fractional Riesz definition.