A flexible display panel and a flexible display apparatus are provided. The flexible display panel comprises a flexible substrate, an organic light-emitting layer disposed on a side of the flexible substrate and having a first side facing the flexible substrate and an opposing side, and a thin-film-encapsulation layer disposed on the opposing side of the organic light-emitting layer and including at least one organic encapsulation layer and at least one inorganic encapsulation layer. The flexible display panel includes at least one bending area. The at least one organic encapsulation layer has a first side facing the flexible substrate and an opposing side. In the at least one bending area, at least one groove is formed on the opposing side of the at least one organic encapsulation layer. A bottom width W of the at least one groove is configured to be W ≥ n 180 ⁢ ° ⁢ π ⁢ ⁢ R .