  The Dirac equation plays an essential role in the relativistic quantum
systems, which is reduced to a form similar to Schrodinger equation when a
certain potential's type is selected as the Cornell potential. By choosing the
generalized fractional derivative, the fractional Nikiforov-Uvarov method is
applied as a good efficient tool. The energy eigenvalues and corresponding wave
functions are obtained in the sense of fractional forms by solving Dirac
equation analytically. The special case is obtained, which is compatible with
the classical model. Solving the fractional Dirac equation will open a new path
to solve and improve results in the classical relativistic quantum systems.
