My iPad keeps disconnecting from my router?

I have an iPad Air with WiFi and no 3G. I also have a BT hub.
My family use a multitude of laptops etc which connect to the Internet. However, when I am online on my iPad, it will often randomly disconnect and I have to manually reconnect. It happens a lot while YouTube videos are being loaded.

This problem doesn't occur on other devices we use, nor does it occur when I am using other people's Internet. 

Perfectly you are saying that this doesn't occur on other devices, it might be because there might be problem with the software (ios) once contact the apple service center and they will let you know.

Secondary is that, there might be the router restriction that it may be configured with to use some type of sites, I mean that the router is allows access to some websites or it might getting you block some websites from you ipad based on your iPad MAC address.

once go through the router configuration manual, is your router having the type of option.