Dinh et al. (2018) [10] obtained all self-dual constacyclic codes of length ps over R2 = Fpm + uFpm , where p is a prime number and u2 = 0. In this paper, we determine the structure of (Euclidean) dual of some special skew cyclic codes of length ps over R2, and establish all of them which are self-dual. As a special case, we conclude all of results appeared in the above paper for cyclic codes.