$\delta$-Superderivations of semisimple finite-dimensional Jordan superalgebras

In the paper, a complete description of the $\delta$-derivations and the $\delta$-superderivations of semisimple finite-dimensional Jordan superalgebras over an algebraically closed field of characteristic $p\mathrm{\ne }2$ is given. In particular, new examples of nontrivial $\frac{1}{2}$-derivations and odd $\frac{1}{2}$-superderivations are given that are not operators of right multiplication by an element of the superalgebra.