The Romans named a province Asia, which more or less corresponds with modern-day (central-eastern) Turkey. In the area of modern-day Iraq there was an Asia Minor and an Asia Major.
Herodotus were the first continental to use the word Asia in writing (ca. 440 BC), but he was not the one who innovated the name.
See also
Arabia | The Legend of King Arthur
Armenia | The Legend of King Arthur
Huns | The Legend of King Arthur
Idumea | The Legend of King Arthur
Japhite | The Legend of King Arthur
Media | The Legend of King Arthur
Pamphilia | The Legend of King Arthur
Panschavar | The Legend of King Arthur
Parthia | The Legend of King Arthur
Zaradech | The Legend of King Arthur