Keyboard And Mouse Both Start Acting Strangely After A Few Hours

I've been getting this problem lately where both my mouse and my keyboard start acting up after a few hours of the computer being turned on. What happens is that the keyboard stops using it's normal functions (ie. pressing m to type m) and starts doing a number of different things instead, ranging from not work at all to opening programs and closing them down by pressing F keys and pressing unique characters such as umlauted letters. The mouse also acts up, trying to run programs in administrator when they are pressed on the windows bar at the bottom.The computer is pretty brand new (a month old) and I've been using a new mouse and keyboard since buying it also. I've tried unplugging and resetting the keyboard when this happens but the only thing that seems to reset the issue is restarting my computer which fixes the problem.