Super-biderivations and linear super-commuting maps on the super W-algebra $\widetilde{W}(2,2)$

Super-biderivations of the super W-algebra $\widetilde{W}(2,2)$ are characterized. In particular, it is shown that $\widetilde{W}(2,2)$ admits a non-inner super-biderivation. As an application, all linear super-commuting maps on the super W-algebra $\wide