Capcom has released Update Version 1.05 for Devil May Cry 5. The patch is available for the PS4 and the Xbox One, there is no patch for the PC version.
Devil May Cry 5 Update 1.05 is around 300 MB in size and is currently available for download.
Devil May Cry 5 Update Version 1.05 Patch Notes
The patch notes 1.05 for Devil May Cry 5, which unfortunately are accessible on the PS4, are pretty uninteresting and mention simple bug fixes.