Is this slab interior or exterior?
It sounds like you should have two structual items. 1) A stair support footing. 2)And a standard slab on grade, 4" thick with 6x6-w1.4xw1.4 WWF. Essentially you have a sidewalk.
Or place the slab on grade with a thickend slab under the stair support. Typical thickened area is 1'-6" wide by width of stairs + 6". Add 2-#4 in the bottom of the thickened portion.
Slab on Grades are generally not designed unless there are heavy equipment or moving industrial loads on them. Or garages for heavy trucks.
Google it, you should find some tables that give the suggested thickness and reinforcing for various loads.