Photos I can't delete on my iPhone?

Ok, so on my old computer I made an album of photos to put on my phone. When you get on the phone you can't delete them from the phone its self, you have to go on the computer and un-check it to sync that album on your phone. Well I changed computers now, don't have the old one, and I want the album off my phone but I don't know how to get it off.

If you know there's a button to share photos to people click that and you can select the pictures you want to delete.