Should I pray my specific prayer out loud on Shabbat?

There is a prohibition for Jews to pray for personal requests on Shabbat. Rather, Jews should pray for the Klal (all people). Some Rabbis say that praying 40-days at the Wall is an exception to this rule. But, either way, those at home should think the prayer, rather than say it out loud. It still counts as prayer, but it doesn’t violate the no personal requests rule.