  Let $M_{\Omega,\a}$ and $I_{\Omega,\a}$ be the fractional maximal and
integral operators with rough kernels, where $0 < \a < n$. In this paper, we
shall study the continuity properties of $M_{\Omega,\a}$ and $I_{\Omega,\a}$ on
the generalized local Morrey spaces $LM_{p,\varphi}^{{x_0}}$. The boundedness
of their commutators with local Campanato functions is also obtained.
