Okay here's the thing. I bought this laptop in March of 2014 (mainly for gaming purposes). Worked like a charm.
Then "Watch Dogs" came along, and it lagged like hell. I updated the graphics drivers from AMDs site (which specifically said that they would give a better frame rate on the game) and they did. BUT I also got the issues:
screen does not wake after going to sleep
does not come back from hibernate
does not come back after closing and opening lid
windows fastboot doesnt work (same problem, screen goes off, doesnt come on, and the laptop doesnt shut down)
Anyways, I researched on this for months and this is what I finally know:
AMD is rolling out drivers to increase performance. However, those drivers aren't well tweaked to run on your machine, that is the Dell Inspiron 15R 5537 (many other laptops also have similar issues). These drivers just give better performance.
Dell, however, is modifying those drivers to run on your machine smoothly, at the cost of performance.
You can download the AMD drivers from AMDs site, and the Dell drivers come in the Windows Update menu itself.
So, the choice I guess is yours: either take Dell drivers and avoid these issues, or take AMD drivers for better performance.
I personally chose AMD, and disabled Sleep mode, Hibernate mode, and now I don't close the lid of the laptop, or leave it on for a long while (to prevent automatic timeout)
HOWEVER, if I disable the AMD graphics card in device manager, of course I can;t do heavy graphics work, BUT the sleep and hibernate modes and all start working perfectly again, so this is something I do from time to time. Say, if I have to go out somewhere for a short while and I don't want to close my laptop, then I just disable the AMD graphics card and then put it to sleep or close the lid. Then when I come back, I just open the lid, enable the GPU and start working again.
For now, this is the only solution I know of. If anybody has a better solution, it'd be great if you could share it here.
Hope this helps
Thanks