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Rabei, E.M., Hasan, E.H. and Ghassib, H.B. (2004) Hamilton-Jacobi Treatment of Constrained Systems with Second-Order Lagrangians. International Journal of Theoretical Physics, 43, 1073-1096.
https://doi.org/10.1023/b:ijtp.0000048601.92005.fe

has been cited by the following article:

• TITLE: Quantization of Fractional Singular Lagrangian Systems with Second-Order Derivatives Using Path Integral Method

  AUTHORS: Eyad Hasan Hasan, Osama Abdalla Abu-Haija

  KEYWORDS: Fractional Path Integral, Fractional Singular Lagrangians, Fractional Calculus

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.13 No.2, February 25, 2025

  ABSTRACT: We examined the fractional second-order singular Lagrangian systems. We wrote the action principal function and equations of motion as fractional total differential equations. Also, we constructed the set of Hamilton-Jacobi partial differential equations (HJPDEs) within fractional calculus. We formulated the fractional path integral quantization for these systems. A mathematical example is examined with first- and second-class constraints.