Semantics and frequency of use of different adverb orderings
The second is more naturally English. The first feels like an attempt to wrestle the order into grammatical correctness, although it fails. The blackboard grammar version would have been:
This problem has been addressed recently by several authors
Note that the entire verb construct has been neatly drawn together, as if it were a single word in a complex conjugation. Note, too, that it is something you would never hear in spontaneous speech from anyone but a schoolteacher or that curmudgeonly pedant who, quite understandably, has little in the way of company.