is_date() acting strange

Hi,

I’m trying to have an archive thing running when people use url like

http://127.0.0.1/wordpress/2015/07/09/

The thing is, when the specified day (or month, or year) contains posts, it works, and it uses date.php (or archive.php, i tried both)

But if the specified day (or month, or year) contains no post, it will default to index.php, thus not providing the “No post were written at this period” message that should be displayed (set in date.php)

I tried put a is_date() or is_archive() conditional tag inside index.php, but it seems is_date() and is_archive() both returns 0 when on a “date” page without posts.

I tried putting

<?php if (is_home())
			{
			echo 'is_home' ;
			}
		?>
		<?php if (is_front_page())
			{
			echo 'is_front_page' ;
			}
		?>
		<?php if (is_single())
			{
			echo 'is_single' ;
			}
		?>
		<?php if (is_category())
			{
			echo 'is_category' ;
			}
		?>
		<?php if (is_tag())
			{
			echo 'is_tag' ;
			}
		?>
		<?php if (is_date())
			{
			echo 'is_date' ;
			}
		?>
		<?php if (is_archive())
			{
			echo 'is_archive' ;
			}
		?>
				<?php if (is_page())
			{
			echo 'is_page' ;
			}
		?>

in my footer

But it returns NOTHING (wtf) on 2015/09/ (no posts), but returns is_date and is_archive on /2015

Is that normal?
If not, how can i fix is_date() being false on date page containing no post?