With the voltage slowly decreasing the current will also slowly decrease, with the current slowly decreasing the amount of charge getting to the bulb will slowly decrease.
Since it will slowly decrease, to fully discharge the capacitor will take longer, meaning the bulb will get the same charge over a longer time, resulting in it staying on for longer.
But as the amount of charge it recieves, per unit time, is smaller it will be dimmer, but stay on for longer.