migration from 5.5.32 into 5.5.37
Answer Answered by colin charles in this comment.
This is a simple upgrade. If you used packages, just use a yum/apt-get or equivalent and it will be ok.
You are of course encouraged to run mysql_upgrade once complete, that said, for such a minor update, you shouldn't have much to do or worry about
We have some documentation here: https://mariadb.com/kb/en/upgrading-from-mysql-to-mariadb/