Although this is a pretty much subjective claim, many would agree that Aleve or Naproxen drugs have better pain killing effects most especially if you look it on a per dose basis. Aleve 375 mg may have a longer and more powerful effect than a 400mg Ibuprofen. 1  Aleve is a brand name while Ibuprofen is a generic name. 2  Aleve’s effects last longer compared to Ibuprofen’s. 3  Ibuprofen is said to induce more gastric irritation compared to Aleve.