what do you need to know that their websites haven't shown? BTW is CorelDraw still going? hadn't heard that name in years, but then I'm not a graphics person
I use and have only used Adobe Illustrator to draw vector images so I can't really compare the two, but I do think that Illustrator is pretty much perfect for creating vector images.
illustrator are for drawing vector graphics such as logos and cartoons. i don't remember corel draw, it's not that popular anywa.