I am afraid but I think the only answer is 'patience'
when I first started violin I didn't concentrate so much on the time I was practicing, but rather said to myself: I will practice until it does not feel comfortable anymore or I don't sound decent anymore LOL
I gradually found that I was able to last longer and longer, until today that I 'think' I could comfortably play for at least a couple of hours before I need to stop (although most times because of time constraints I stop at 1 hour).
It will take different people different amounts of practice/time to able to go on for longer, and maybe for some people it will never be more than 15/30 minutes before they need a break. Mind you, you might find if you have a 10 minutes break, you might be able to do your other 15 minutes.
Experiment a bit, but most importantly don't carry on playing if you feel any aches or any muscles getting tired.