Try below:
$(".expand").click(function(){
$('.mobile_main_menu_sub').animate({left:'0px'});
});
$('.mobile_main_menu_sub_back').click(function(){
$(this).parent('ul').animate({left:'100%'});
});
DEMO HERE I've updated your code and made it simple, why are you writing it like that? For a specific reason or other functions you didn't include here?
EDIT: In case you have multiple menu elements Updated DEMO
$('.mobile_main_menu_sub_back').click(function(){
$(this).parent('ul').animate({left:'100%'});
event.stopPropagation(); //Add this line;
});