  We illuminate the superconducting phases in [001]-grown-noncentrosymmetric
quantum wells with an anisotropic spin-orbit coupling in the presence of
on-site Hubbard interaction. Within the random phase approximation, we
investigate the spin-fluctuation-mediated pairing in the presence of
Rashba/Dresselhaus antisymmetric spin-orbit couplings. Although the existence
of spatial inversion symmetry desires a dominant d-wave pairing for all filling
levels, a broken inversion symmetry generates antisymmetric spin-orbit coupling
and mixes the even- and odd-parity in the superconducting gap. We study the
symmetry of the mixed-parity gap for various strengths of Hubbard interaction.
Besides, we consider a superconductor-ferromagnet junction to survey the
modifications of superconducting order parameters and observe an admixture of
even- and odd-frequencies due to the ferromagnet exchange field.
