For most species, fty grows the best by doing the following two things:
1. Feed little, very frequently with variety. Food should be rich in protein (for most species). If you can hatch baby brine shrimps, this works wonders for just about all fry.
2. Water change as frequently as you can.
I feed 5 times a day (BBS, NLS pelletes, OSI flakes, Hikari Daphnia) for my 13 P Acei fry, and do 50% WC every two days. At 60 days, they now hit 1.5 inches. I don't think I can keep this rate up (especially feeding 5 times per day part...

) but I am in the middle of some experiment and the result certainly looks promising! This 10g tank is driven by Aqua Clear Mini and Penguin 125. That's over 22x turnover rate!
Also, out of same batch of platy fry (2 months old), one tank has hit just over 1 inch in length, while the other one is still below 2/3 inch. Again, the main differences are feeding frequency and total water change volume per week.
If you want the fastest possible growth, get a 10g (or 5.5g if smaller species), put tonnes of filtration, feed frequently, and water change like crazy!