Serhan, M., Abusini, M. and Rabei, E.M. (2009) Journal of Theoretical Physics, 48, 2731. https://doi.org/10.1007/s10773-009-0063-5
has been cited by the following article:
TITLE: Fractional Euler Lagrange Equations for Irregular Lagrangian with Holonomic Constraints
AUTHORS: Ola A. Jarab’ah
KEYWORDS: Fractional Derivatives, Euler-Lagrange Equations, Irregular Lagrangian, Holonomic Constraints
JOURNAL NAME: Journal of Modern Physics, Vol.9 No.8, July 31, 2018
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.