The Parametric Generalized Fractional Nikiforov-Uvarov Method and Its Applications
Abstract
By using generalized fractional derivative, the parametric generalized fractional Nikiforov-Uvarov (NU) method is introduced. The second-order parametric generalized differential equation is exactly solved in the fractional form. The obtained results are applied on the extended Cornell potential, the pesudoharmonic potential, the Mie potential, the Kratzer-Fues potential, the harmonic oscillator potential, the Morse potential, the Woods-Saxon potential, the Hulthen potential, the deformed Rosen-Morse potential and the Poschl-Teller potential which play an important role in the fields of molecular and hadron physics. The special classical cases are obtained from the fractional cases at ELFA = BETA =1 which are agreements with recent works.
Cite
@article{arxiv.2301.07493,
title = {The Parametric Generalized Fractional Nikiforov-Uvarov Method and Its Applications},
author = {M. Abu-shady and H. M. Fath-Allah},
journal= {arXiv preprint arXiv:2301.07493},
year = {2023}
}
Comments
15 pages