Binding a web page's element to an Android App

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 n 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.

I know there has to be javascript, but how?