How is Facebook SEO different from other SEOs?

Basic SEO is different from Facebook (SMO)

- Basic Seo based on Multiple Activities with late result but Facebook based on the spot result
- Most of the public want to get at a time result which can get from facebook.
- Facebook Paid and No Paid both type but Basic simple SEO is free no any paid

There is NO SEO ON FACEBOOK it is Social Media Optimization SMO not SEO

and SEO is optimizing for Search Engines both are different.

you should do daily activities on Social Media.

Terminologically Facebook SEO is not appropriate. But according to the sense, the (Facebook) Social Media Optimization or SMO is as same as SEO. These both are targeting organic traffic.

Now I'm coming to your question. Here are some points which may help you to understand the difference between Facebook SMO (FACEBOOK SEO according to you) and SEO.

Facebook SMO is for getting organic traffic around Facebook. It helps in three major ways - Branding, Lead Generation, and Reputation.
Facebook SMO also helps in developing customer relationships.
Facebook SMO increases your social media traffic and website ranking.
On the other hand, SEO increases website traffic and ranking as well.
SEO means Search Engine Optimization, so it helps increasing search engine ranking as well.