According to the official dope, it oughta run on both desktop and laptop.
The system requirements for Fallout 4 on PC are as follows:
Minimum:
Operating system: Windows 7/8/10 (64-bit OS required)
Processor: Intel Core i5-2300 2.8GHz / AMD Phenom II X4 945 3.0GHz or equivalent
Memory: 8 GB RAM
Hard disk space: 30 GB free HDD space
Video: NVIDIA GTX 550 Ti 2GB / AMD Radeon HD 7870 2GB or equivalent
I just upgraded my card so I could run all the settings wide open but the 7950 3GB I had handled everything BUT those fullscale wars pretty well on Ultra. On default settings all was fine. The game DOES NOT SUCK on standard settings and it looks good. If you have any performance issues, turn down “God Rays” first. Volumetric lighting takes a ton of power.