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Jarab’ah, O.A. (2018) Fractional Euler Lagrange Equations for Irregular Lagrangian with Holonomic Constraints. Journal of Modern Physics, 9, 1690-1696.
https://doi.org/10.4236/jmp.2018.98105

has been cited by the following article:

• 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.