%0 Journal Article
%T Fractional Euler Lagrange Equations for Irregular Lagrangian with Holonomic Constraints
%A Ola A. Jarab¡¯ah
%J Journal of Modern Physics
%P 1690-1696
%@ 2153-120X
%D 2018
%I Scientific Research Publishing
%R 10.4236/jmp.2018.98105
%X 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.
%K Fractional Derivatives
%K Euler-Lagrange Equations
%K Irregular Lagrangian
%K Holonomic Constraints
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=86343