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.