Shred the chicken and place in a bowl. Add the bbq sauce and mix well. Preheat oven or grill to 350 degrees F.
Place bottom buns in pan. Top with some cheese then add chicken mixture.
Chop peppers, toss in a bowl and mix them together. Then, place the peppers on top of chicken mixture.
Top with more cheese. Add top buns and press down slightly. Make butter mixture and pour over sliders. Cover pan with foil. Place in preheated oven or grill. Bake covered for 15 minutes, remove foil and bake for 5 minutes.
Remove from the oven or grill and uncover them. You can either pull them apart or slice them. Serve.