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Hasan, E.H. (2016) Fractional Quantization of Holonomic Constrained Systems Using Fractional WKB Approximation. Advanced Studies in Theoretical Physics, 10, 223-234.
https://doi.org/10.12988/astp.2016.6313

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.