the peeling is normal but the ink fall out not so much.
I have both my hands done and yes they peel like any other tattoo,but there is no fallout of ink at all on either hand.
hand tattoos can possibly fall out close to the sides by the palm or knuckles,maybe.
here is my hand tattooed in Feb/2016 never touched up,shot tonight
here is my other hand tattooed in Aug/2016 never touched up,shot tonight
Nice tattoo! I experienced similar peeling/fading on one of my tattoos, it wasn't quite as bad, but it still looked really faded. Two weeks later, the color's returned and it looks fine. I'm no expert but it might just be part of the healing process. Worst case scenario you might need a touch-up, but I doubt it. You should ask your artist though. For now just try to relax, let it heal and hope for the best. Good luck and I hope everything works out.