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.