Avdias’s name day is November 19, the feast of Abdias the Prophet.
Churches that follow the Old (Julian) Calendar keep the same feast on December 2 of the civil calendar. See everything commemorated on November 19.
The saint behind the name

Abdias the Prophet
November 19, Prophet, Αβδίας
The holy prophet Abdias, called Obadiah in the Hebrew Scriptures, is one of the twelve minor prophets, and his book is the shortest in the Old Testament. In it he pronounces the judgment of God upon Edom for its pride and its violence against Israel, and he foretells the day of the Lord and the deliverance that shall be upon Mount Zion.
Also celebrating on November 19
These names share the feast, many of them other forms of the same name:
What to say on a name day
The Greek wish is Χρόνια Πολλά (Chronia Polla), “many years.” A call or a short message on the day is what people remember. See name day wishes you can send and what a name day is.