There are some situations when the WP conditional tags doesn’t work. Be it any reason like say: Multiple WordPress loops, faulty use of query_posts(…) or issue in the code itself. Basically this problem occurs when there is a change in the main query by the use of query_posts(). Fortunately WordPress always keeps the original, unaltered query intact. So, to get back that where all the conditional tags works we have to use the wp_reset_query().
Just place this function call wp_reset_query() before the conditional tag to solve this issue of WordPress’s is_home() || is_front_page() is not working.
<?php wp_reset_query(); ?>
<?php if(is_home() || is_front_page()): ?>
<!— Do the things here... —>
<?php else: ?>
<!— Else part goes here... —>
<?php endif; ?>