%0 Journal Article
%T Quantization of Fractional Singular Lagrangian Systems with Second-Order Derivatives Using Path Integral Method
%A Eyad Hasan Hasan
%A Osama Abdalla Abu-Haija
%J Journal of Applied Mathematics and Physics
%P 567-574
%@ 2327-4379
%D 2025
%I Scientific Research Publishing
%R 10.4236/jamp.2025.132031
%X 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.
%K Fractional Path Integral
%K Fractional Singular Lagrangians
%K Fractional Calculus
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=140790