$cikti = array("Can","a"=>"Burak","Yağmur","Arzu","Büşra","İrem","Elif","Can","Arzu","Selim","Can");
$bul = array_unique(array("Can","a"=>"Burak","Yağmur","Arzu","Büşra","İrem","Elif","Can","Arzu"));
$ayni_olanlar = array_intersect($dizi, $cikti);

print_r($ayni_olanlar);

Array (
[0] => Can
[a] => Burak
[1] => Yağmur
[2] => Arzu
[3] => Büşra
[4] => İrem
[5] => Elif
[6] => Can
[7] => Arzu
[9] => Can
)