  Nonassociative differential extensions are generalizations of associative
differential extensions, either of a purely inseparable field extension $K$ of
exponent one of a field $F$, $F$ of characteristic $p$, or of a central
division algebra over a purely inseparable field extension of $F$. Associative
differential extensions are well known central simple algebras first defined by
Amitsur and Jacobson. We explicitly compute the automorphisms of nonassociative
differential extensions. These are canonically obtained by restricting
automorphisms of the differential polynomial ring used in the construction of
the algebra. In particular, we obtain descriptions for the automorphisms of
associative differential extensions of $D$ and $K$, which are known to be
inner.
