5050/3528 RGB LED Strip 12V Waterproof Kit is just what it is. It doesn't appear to be using any RGB case lighting standard. So you just mount/attach then connect it to the supply and control it with that remote.
Now RGB fans usually connect to the motherboard RGB controller as well as your supply. We'll have to know what motherboard you have or what RGP controller aftermarket you selected.
I've got a PC with RGB fans (linked below) and in my PC it uses the 3 pin for power i believer and 4 pin for the RGB controller adapter and the adapter has like 10 sockets in it, 5 are in use for my PC, I have been looking around for hours but ive ordered a LED strp (linked below) which im planing on placing around my monitors and i want it to follow the same colour pattern as that of my pc which is why i want to use the adapter i have in my PC if it is possible, but i cant seem to find an adapter from the RGB connection to my PWM 4 pin i believe it is, i could do with some guidance if possible please ?
RGB Fan's used (https://www.cclonline.com/product/237860/STORMFORCE-RGB/Chassis-Case-Fans/Game-Max-Storm-Force-RGB-120mm-Ring-Fan/CLR1566/)
LED Strip being used (https://www.ebay.co.uk/itm/5050-3528-RGB-LED-Strip-12V-Waterproof-Kit-150-300-600-SMD-Adapter-Remote-UK/141299460524?ssPageName=STRK%3AMEBIDX%3AIT&var=440417836011&_trksid=p2057872.m2749.l2649)