  In the fractional nonrelativistic potential model, the decomposition of heavy
quarkonium in a hot magnetized medium is investigated. The analytical solution
of the fractional radial Schrodinger equation for the hot-magnetized
interaction potential is displayed by using the conformable fractional
Nikiforov-Uvarov method. Analytical expressions for the energy eigenvalues and
the radial wave function are obtained for arbitrary quantum numbers. Next, we
study the charmonium and bottmonium binding energies for different magnetic
field values in the thermal medium. The effect of the fractional parameter on
the decomposition temperature is also analyzed for charmonium and bottomonium
in the presence of hot magnetized media. We conclude that the dissociation of
heavy quarkonium in the fractional nonrelativistic potential model is more
practical than the classical nonrelativistic potential model.
