m15 R4, screen stopped working

I own an Alienware m15 R4. <The purchased 1 year warranty expired 1 year/7 months/26 days ago. DELL-Admin> Yesterday, the laptop screen suddenly went black. I tried restarting it, but the laptop started beeping in a sequence of 3, 2, 1, which indicates a screen/video failure. I've had this laptop for almost three years now, so I opened it and checked the video pin. This morning, I started the laptop and surprisingly, it worked for an hour before the same problem occurred again. It seems that if I don't use the laptop for a while (3-4 hours) and then start it, the screen works for a while until the laptop heats up, after which the screen stops working again. Do you have any advice or solutions for this problem?