Tilting objects in functor category

Given a ring R, one can consider the category of additive contravariant functors from the category of finitely presented R-modules to the abelian groups, which turns out to be a Grothendieck category. On the other hand, a tilting theory has been elaborated over the past years for abstract categories, thus generalizing the notion of tilting module. The aim of this work is to investigate both approaches and see how they can be related, by applying the abstract tilting theory to the category of functors mentioned above: in particular, it is shown that some properties can be proved when a tilting object in the functor category is seen (or "localized") in its Giraud subcategory R-Mod