The generalized fractional NU method for the diatomic molecules in the Deng-Fan model.

In this study, a new algorithm of the generalized fractional Nikiforov-Uvarov method is employed to obtain new solutions to the fractional N-dimensional radial Schrödinger equation with the Deng-Fan potential. In addition, the results are applied to several diatomic molecules. The impact of the fractional parameter on the energy levels of various diatomic molecules is investigated. We found that the energy of the diatomic molecule is more bounded at lower fractional parameter values than in the classical case.