Effects of topological defects on eigensolutions of generalized fractional Schrödinger equation with remodeled screened-Kratzer potential

The effect of point-like global monopole topological defects on the energy eigenvalues of the remodeled screened Kratzer potential has been evaluated in this study. The generalized fractional Nikiforov–Uvarov method is employed to obtain the eigensolutions by solving the non-relativistic fractional Schrödinger equation. The Greene–Aldrich approximation scheme has been used to check the centrifugal barrier term. In addition, the fractional energy solutions of Kratzer potential have been obtained as a special case from the remodeled screened Kratzer potential. Energy eigenvalues of both potential models for the selected diatomic molecules are seen to be significantly influenced by the effects of point-like global monopole, fractional parameter, screening parameter and quantum state values considered, in the curved spacetime. Our numerical results are also supported with graphical illustrations, which are discussed extensively.