I like playing mage in skyrim, but none of my spells explode on impact ... when i look gameplays on youtube, and they cast spells, most of them explode ( calm, fury and so on ... )

Why aren't my spells aoe ( area of effect )?

Are they using some kind of mods or some thing?

I don't think any illusion spells like the ones you listed explode. I can only think of specific destruction magic...

The higher-level Illusion spells like Frenzy, Pacify, Rout, etc. are AOE. These tend to be Adept-level (and above) spells, so you'll have to get your Illusion skill up to around 50 for them to become available in spell merchant inventories.