A Fatburger is under construction on Industrial Road at Stardust Road. The area is seedy, so I would advise driving, not walking, (especially at night). This location is not far from The Strip, as long as one has wheels.
There is also a Fatburger located on The Strip; just north of the Walgreens which is across from NYNY and The Monte Carlo.
When the new Fatburger opens, I will post notice.
Be advised that in some areas Industrial Road is called Dean Martin.