  We present (exact) solutions of the Dirac equation with equally mixed
interactions for a single fermion bounded by the family of fractional power
singular potentials. Closed-form expressions as well as numerical values for
the energies were obtained. The wave functions and the allowed values of the
potential parameters for the first two members of the family are obtained in
terms of a set of algebraic equations. The non relativistic limit is also
discussed and using the Hellmann-Feynmann theorem, some useful expectation
values are obtained.
