We consider fractional p-Laplace type equations involving signed measure data. Specifically, we extend the existence, regularity and Wolff potential estimates for SOLA (Solutions Obtained as Limits of Approximations), established by Kuusi, Mingione, and Sire (Comm. Math. Phys. 2015), to any p>1. Moreover, using Wolff potentials and Orlicz Capacities, we present both a sufficient condition and a necessary condition for the existence of SOLA to similar nonlocal equations involving measure data and power or exponential reaction terms. This talk is based on a joint work with Quoc-Hung Nguyen and Jihoon Ok.