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.