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By employing the concept of conformable fractional Nikiforv-Uvarov (NU)method, we solved the fractional Schrodinger equation with the screened Kratzerpotential (SKP). By applying the Greene-Aldrich approximation and a coordinatetransformation schemes, the analytical expressions of the bound state energyspectra and eigenfunctions for SKP were obtained. Numerical results for theenergies of SKP for lithium hydride and hydrogen chloride diatomic moleculeswere computed for different fractional parameters. Also, the graphicalvariation of the bound state energy eigenvalues of SKP for LiH with differentpotential parameters and quantum numbers were discussed, as regards theselected fractional parameters. Our results are new and have not been reportedin any literature before.

Approximate Solutions of the Fractional Schrodinger Equation for the Screened Kratzer Potential