Problem with character's falling down

Greetings !!!

I’m still rookie here so forgive me if I posted in the wrong section.

http://prnt.sc/cc1yqe
http://prnt.sc/cc23bc

As you can see on the pics, when my character is on the edge, it does not fall down like it should be. Of course, when I move it a little bit more away from the edge, then it does fall down. However, I have problems when it comes to standing very close to the edges. Can you tell me what could be the possible problem ? Is it something with the animation or is a glitch in the design ?

Thank you for understanding! Cheerz!!!