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 P schl-Teller potential which play an important role in the fields of molecular and atomic physics. The special of classical cases are obtained from the fractional cases at which are agreement with recent works.

The spectra masses for heavy pentaquark using generalized fractional of the extended Nikiforov-Uvaro method

“…According to [26], the author solved a derivative Caputo fractional Schrödinger wave equation using the quantitative characteristic of the classical nonrelativistic Hamiltonian. A common research topic in applied sciences, fractional-order derivatives are essentially a natural extension of ordinary derivatives [27,28]. The Nikiforov-Uvarov approach has been used to study the fractional radial Schrödinger equation [29], and provides an analytical derivation of the eigenstate solutions for the Woods-Saxon potential, harmonic oscillator potential, and Hulthen potential.…”