where the summary/story kinda goes like this... :

where human and monster live together,.. but human are scare of the monster,.. and most of the monsters goes to school far from the main city,.. and this (half-human/half-monster)boy goes to this school where only monster goes and he's the only human looking one,.. and met this monster girl where she help him and stuff

the monsters looks like animal with human body with thick fur like, cat ,dog ,shark etc.

this school is more of a fighting/military school use by the government(?) and they train students to fight so they can fight other evil monsters as a job/mission outside of school...

the genres is kinda like(?): action, supernatural, martial arts, school life, demons, monsters,.. but I also don't remember the specific genres,.. and I don't think it's a well known manga either,.. so it's really hard to find it again... T T

i remember reading far into the manga where they talk about how the monsters are not really a physical being and they can shapeshift themselves into a larger beast and gather power base on their emotions...

ps. ［please... I really appreciate it if you know what manga i'm talking about / or if you could find it!!｝ಥ‿ಥ

UPDATE::
YES! YES! YES! I FOUND IT!!!
IT'S Kemono Giga (T∆T)°•
IT'S FINE NOW ^^