Heat the oven to 350°F. Split the connected Hawaiian rolls horizontally and set the bottom slab in a parchment-lined 9-by-13-inch pan.
Spread mayonnaise over the bottom slab and add half the Swiss. Fold on the turkey, distribute apple slices in a thin layer and add remaining Swiss.
Replace the tops and brush with butter mixed with Dijon and thyme. Cover loosely with foil.
Bake for 15 minutes, then uncover for 8 to 10 minutes until the cheese melts and the center reaches 165°F.
Rest for 5 minutes before cutting into 12 sliders.