Fractional Euler Lagrange Equations for Irregular Lagrangian with Holonomic Constraints

Abstract

In this paper the fractional Euler Lagrange equations for irregular Lagrangian with holonomic constraints have been presented. The equations of motion are obtained using fractional Euler Lagrange equations in a similar manner to the usual mechanics. The results of fractional calculus reduce to those obtained from classical calculus (the standard Euler Lagrange equations) when γ → 0 and α , β are equal unity only. Two problems are considered to demonstrate the application of the formalism.