Discussed are a flexible display apparatus and a rollable display apparatus comprising the same, in which rigidity reliability is secured against a physical impact. The flexible display panel includes a display unit provided on a flexible substrate and a back cover disposed on a rear surface of the flexible display panel. The back cover includes a panel supporting part including a plurality of openings, having a size greater than a width of the flexible display panel, and supporting the flexible display panel, and a sidewall part protruding from each of one edge and another edge of the panel supporting part.