Of all the articles I have seen
so far, the best one seems to be a Hebrew article by
Daniel Moshe Levi and Yosef Rothstein
at
http://www.daat.ac.il/daat/tanach/maamarim/hatanach1-2.htmOne of their basic points is that the way Egyptian History is conventionally dated is wrong and so the conventional candidates for the Biblical Yosef and The Pharoah of the Exodus are way off base and therefore it is difficult to find a correspondence between the Egyptian record and the Biblical record.
If you move up the story of Yosef and the seven years of famine and the Exodus to way earlier in Egyptian History, you will find the correspondence.
If you want a somewhat loose not so good translation you can go to the translate section of Google and plug in the above web site to at least get a rough idea.
I am open though to an alternate theory, since the findings of archaeology are often flimsy and subject to a wide number of interpretations and maybe maybe something better exists.
Also keep in mind that history in ancient Egypt was often written by State Propagandists who altered or silenced unpleasant facts to please the ruling elite.