The principal purpose of this research is to utilize the exp-function approach for achieving exact solutions of nonlinear optical fbers, including fractional order in the sense of conformable derivatives. Owing to the algorithm of symbolic computational, Some soliton solutions are obtained, including solitary soliton, singular kink-type soliton, and periodic solitons. These results are generated and developed by using the exp-function. To the greatest of our knowledge, the soliton solutions given in this study could be highly benefcial in comprehending physical phenomena.