Binding a web page's element to an Android App

Question

There is a website which has a login screen, and when the submit is hit, it goes to a new page and logs in the user.

Here's a screenshot :

Now, Suppose I have a similar login screen in my android app, like this :

Now, Is there a way to link both of them, so that, when I hit login in the android app, it actually registers a submit at that website and logs in the user, and obviously, then again, binding the next webpage that shows up after logging in. How dlink the urlfrom the webpage to the js and elements in an android app?

I know there has to be javascript, but how?