Apparently, the fabula Milesiae, "story of Miletus", was a Greek genre. Apuleius calls himself "the author of this Milesian tale" in his Metamorphoses (IV.32, below). From what I remember of the (late) Antique genre of roman or "novel", the type of story of a roman seems very similar to Apuleius's Milesiae.
What is the difference, exactly? Or did the Romans (and Greeks) have no (other) word for the genre of roman and was this the term they used? If so, that would surprise me, because I don't recall the term described as such when reading about the genre, but perhaps I wasn't paying attention...
Sed Apollo, quamquam Graecus et Ionicus, propter Milesiae conditorem sic Latina sorte respondit... — Apuleius, Metamorphoses IV.32.