Can I somehow transfer save to PS5 version from Ps4?

Hello Today I bought PS5. I transferred all my save files through ps+ cloud. I installed the PS5 version, but there’s no any saves (despite saves for other games, eg. Yakuza, working fine) Is there any way to transfer the save file or PS5 version is considered a whole different game than ps4 edition ? (Both are included in ps+ catalogue )