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Gorenflo, R. and Mainardi, F. (1997) Fractional Calculus: Integral and Differential Equations of Fractional Orders, Fractals and Fractional Calculus in Continuums Mechanics. Springer Verlag, Wien and New York.

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.