Article citationsMore>>

Rabei, E.M., Nawafleh, K.I., Hijjawi, R.S., Muslih, S.I. and Baleanu, D. (2007) The Hamilton Formalism with Fractional Derivatives. Journal of Mathematical Analysis and Applications, 327, 891-897.
https://doi.org/10.1016/j.jmaa.2006.04.076

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.