Studying quarkonium in the anisotropic hot-dense quark-gluon plasma medium in the framework of generalized fractional derivative

By applying the generalized fractional-Nikiforov-Uvarov approach, the radial Schrodinger equation is analytically solved in the longitudinaltraverse plane. The energy eigenvalues and associated functions are calculated by extending the interaction potential to an anisotropic hotdense quark-gluon plasma medium. For heavy quarkonium masses like charmonium and bottomonium, the special cases of the mass of quarkonium are obtained at alpha = beta = 1. The effect of the fraction parameter is investigated within the context of the quark-gluon plasma medium on the binding energy and dissociation temperature when baryonic chemical potential is included. A comparison are studoed with recent works Therefore, the fractional quark model correctly represents heavy mesons in an anisotropic hot-dense quark-gluon plasma medium, according to the current findings.