If at any time a flourescent lighting fixture, on aquariums, quits working, one of two things has burned out:
1- the bulb went bad and needs replacing.Flourescent lightbulbs need replacing yearly anyway.
2- the starter went bad (small can shaped fitting just behind the flourescent lightbulb). The starters job is to give the bulb a little help in getting the mercury vapors inside glow from the electrical currents. Once the light comes on, the starter is no longer needed and the ballast controls the currents until the light is turned off.
The bubl is self explanatory and the starter can be bought for next to nothing at a local hardware store or a lighting/lamp store. They are veeeery easy to replace too!. Just twist and pull to remove, then replace by reversing the steps.
I hope this helps you some!