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I have had my res for one year and one of them stopped eating!

Ok, a few things.. first, Welcome to Turtle Talk. second, posting your question in multiple places isn't going to get you an answer any faster.

Have you changed anything about the turtles environment. A new tank, new lights.. have the temperatures changed at all? Have you seen any signs of illness? Before anyone can help you, you'll have to give us some basic information regarding your turtle and setup. I don't think anyone here has a crystal ball and if they do, I have a few questions I'd like to ask..

How big are your turtles, how big is the tank, what are they being fed?

just to add... how big are your turtles and what are the temps of the water and the basking area?