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Hasan, E.H. and Asad, J.H. (2017) Remarks on Fractional Hamilton-Jacobi Formalism with Second-Order Discrete Lagrangian Systems. Journal of Advanced Physics, 6, 430-433.
https://doi.org/10.1166/jap.2017.1335

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.