Classification of balanced toral elements of exceptional Lie algebras

Let $\mathfrak{g}$ be a simple Lie algebra of exceptional type over an algebraically closed field $k$, and let $G$ be a simple linear algebraic group with Lie algebra $\mathfrak{g}$. For $\mathrm{c}\mathrm{h}\mathrm{a}\mathrm{r}k=p>0$, we present a complete classification of the $G$-conjugacy classes of balanced toral elements of $\mathfrak{g}$. As a result, we also obtain the classification of conjugacy classes of balanced inner torsion automorphisms of $\mathfrak{g}$ of order $p$ when $\mathrm{c}\mathrm{h}\mathrm{a}\mathrm{r}k=0$.