Fractional Equation of Motion for Coupled Field Theory

摘要

In this work, the fractional form of the Lagrangian density of two scalar fields are presented using left and right Riemann-Liouville fractional derivative. The fractional Euler-Lagrange equation obtained using the fractional variational principle and Agrawal procedure. Then from fractional Noether's theorem, the fractional energy stress tensor also obtained in the fractional form. After that from the fractional Lagrangian density, the equation of motion, the fractional Hamiltonian density, the fractional Hamilton's equation of motion and the conserved quantities were presented.