Alexandre Lacazette had set the away side up nicely with sharply taken goals either side of half-time to cancel out Andre Schurrle's fine finish just before the break.
Aaron Ramsey had added a wonderful third goal, and things were about to get even worse for the home team.
The fourth goal came from Bellerin having time and space on the right wing. The Spaniard managed to pick Aubameyang out in the middle, who controlled the ball and then hit it with his left foot from the right side of the net in to the far corner.
The former Dortmund striker was not done just yet, and managed to add his second of the afternoon in added time as Aaron Ramsey played in a through ball.
Aubameyang out-paced his marker and then drilled the ball in to the bottom left corner so accurately that Marcus Bettenelli remained motionless in the Fulham goal.