THE LINEAR SIGMA MODEL LAGRANGIAN DENSITY: FRACTIONAL FORMULATION Page No: 3803-3807

Amer D. Al-Oqali, Bashar M. Al-Khamiseh, Emad K. Jaradat and Ra’ed S. Hijjawi

Keywords: Fractional derivative, Lagrangian and Hamiltonian formulation

Abstract: In this paper, we reformulated the Linear Sigma Model Lagrangian density using fractional calculus by the left-right Riemann-Liouville fractional derivatives. We also determined fractional Euler-Lagrange and fractional Hamiltonian equations resulting from the Linear Sigma Model Lagrangian density. We found that the classical results are taken as a specific case of the fractional formulation for Euler-Lagrange and Hamiltonian equations



[View Complete Article]