Answers for "composer update indicates updates but when I run the composer update command it doesn't update anything"

composer update

php composer.phar update

update composer

To update composer command just find location of composer.phar and update as:
 where composer 	#Retrieves you location of your composer.phar
 cd path_to_composer.phar #Move to directory with composer.phar
 php composer.phar self-update	#Update your composer