A system and method for successively fracking a wellbore at spaced intervals along tubing having therein frac ports each openably closed by a sliding sleeve. The system has at least one actuation member and at least one cylindrical sand screen sub insertable into the tubing. Each actuation member has a collet sleeve with a radially-outwardly biased protuberance of a first profile configured to matingly engage an interior groove profile on at least one of the sliding sleeves and slide the sliding sleeve downhole to open the corresponding port. Each cylindrical sand screen sub has a dissolvable plug member or burst plate disposed on one end thereof allowing for the sand screen to be forced into the well by pressure acting against the plug or plate, and has a resiliently-outwardly biased protuberance configured for engaging a mating profile on the tubing and retaining the sand screen sub in a desired position.