The Parametric Generalized Fractional Nikiforov-Uvarov Method and Its Applications

• URL: http://arxiv.org/abs/2301.07493v2
• Date: Mon, 4 Sep 2023 19:53:52 GMT
• Title: The Parametric Generalized Fractional Nikiforov-Uvarov Method and Its Applications
• Authors: M. Abu-shady and H. M. Fath-Allah
• Abstract summary: The results are applied to 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.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• 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.

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