I flew this flight in the summer (end of June) on Sunday morning. On Sunday afternoon we crossed the dateline and it became Shabbos afternoon, then we landed the following (Sunday) morning.
I spoke to a Rov in Australia who deals with this often, (all flights leaving AU on Motzei Shabbos heading east). He told me that some people say that its better not to do it but most Rabbonim in AU say it's fine, although if possible you should not do any Melochos M'Deoiraisa From when you cross the date line until it gets dark. (Basically no writing, he said about turning on a light (locking the bathroom door) would definitely be allowed since some Poskim say it's M'Derabonon and even according to others, considering that it's only a sofek, a possible Chilul Hashem can be much worse).
Sunday may be different than Friday. In either case you should ask your LOCPR (Local Orthodox Competent Practicing Rabbi).