  A model companion is shown to exist for the theory of partial differential
fields of characteristic zero equipped with free operators that commute with
the derivations. The free operators here are those introduced in [R. Moosa and
T. Scanlon, Model theory of fields with free operators in characteristic zero,
Preprint 2013]. The proof relies on a new lifting lemma in differential
algebra: a differential version of Hensel's Lemma for local finite algebras
over differentially closed fields.
