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In the fractional nonrelativistic potential model, the decomposition of heavyquarkonium in a hot magnetized medium is investigated. The analytical solutionof the fractional radial Schrodinger equation for the hot-magnetizedinteraction potential is displayed by using the conformable fractionalNikiforov-Uvarov method. Analytical expressions for the energy eigenvalues andthe radial wave function are obtained for arbitrary quantum numbers. Next, westudy the charmonium and bottmonium binding energies for different magneticfield values in the thermal medium. The effect of the fractional parameter onthe decomposition temperature is also analyzed for charmonium and bottomoniumin the presence of hot magnetized media. We conclude that the dissociation ofheavy quarkonium in the fractional nonrelativistic potential model is morepractical than the classical nonrelativistic potential model.

Spectra of Heavy Quarkonia in a Magnetized-Hot Medium in the Framework of Fractional Non-relativistic Quark Model