TITLE:
Lagrangian Formulation of Fractional Nonholonomic Constrained Damping Systems
AUTHORS:
Ola A. Jarab’ah
KEYWORDS:
Euler-Lagrange Equations, Nonholonomic Constraints, Generalized Momenta
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.13 No.9,
September
19,
2023
ABSTRACT: Fractional Euler Lagrange equations for fractional nonholonomic constrained damping systems have been presented. The equations of motion are obtained using fractional Euler Lagrange equations in a similar manner to the usual technique. The results of fractional method reduce to those obtained from classical method when μ →0 andα,β →1 are equal unity only. This work is discussed using illustrative example.