Generally this feature is provided by some SEO plugins and Premium WordPress Themes but now a new WordPress plugin allows you to enable separate post titles for single and multi post pages easily.
WP Multiple Titles is the new plugin for adding different titles for single post and home page. Simply install and activate it; soon after activation it add a new meta box (Homepage Title) in admin area’s post edit page. Now what you have to do is use this metabox for giving post title that you want to show up in your home page. As soon your visitor click the home page post title; the post opens up in single page with its real title that you have given in main title box.