>>1474394Riza Hawkeye from FullMetal Alchemist has that style of hair. When she's shown from the side, you can see it's held up with a large hair clip. Since Riza's a popular character, there's a lot of cosplayers who've posted stuff online for how to get hair to look like that. Couldn't find an exact name for it that isn't a mouthful, though. I think you could call it an updo, like
>>1474395 said, specifying that it's with a hairclip rather than just a braided one.
I'd always assumed Frankie's hair was just a stylized ponytail. I wouldn't call it the same as the one on the right.