How to host Laravel 5.2 in GoDaddy shared hosting without SSH?

I have developed a web application in Laravel 5.2. I want to host it in Godaddy Shared hosting in a sub folder, because I have other projects there for different domains.

I'm not sure if I explained it clearly, this is what I'm trying to achieve.

I have put all my Laravel files in a sub folder like (www.mylaravelapp.com/test).

Now I can access the application with this URL "www.mylaravelapp.com/test/public".

public_html/
  some_domain_folder/  
  www.mylaravelapp.com/
     test/
        app/
        bootstrap/
        config/
        database/
        public/
        etc..

How can I access this with a URL like "www.mylaravelapp.com/"?

How to solve security issues too?