Aeolian vs Aeolus

Aeolian and Aeolus both are nouns.

Word	Noun	Adjective	Verb	Adverb
Aeolian	Yes	Yes	No	No
Aeolus	Yes	No	No	No

Aeolian (noun)	Aeolus (noun)
the ancient Greek inhabitants of Aeolia	god of the winds in ancient mythology
a member of one of four linguistic divisions of the prehistoric Greeks, spoken in Boethia, Thessaly, in the Aegean island of Lesbos, and the Greek colonies of Asia Minor

Aeolian (adjective)	Aeolus (adjective)
of or pertaining to Aeolus, the Greek god of the winds; relating to or caused by the wind
of or relating to Aeolis or its ancient Greek people