Get the children of the current page and see if it has a child with a given name. NOTE: Mura functions and methods refer to children as "kids".

mura-if-has-specific-child.cfm

<cfset directChildren = $.content().getKidsQuery()>
<cfquery name="specificChild" dbtype="query">
	SELECT * FROM directChildren WHERE title = 'My Specific Title';
</cfquery>
<cfif specificChild.recordCount neq 0>
		<!--- The named child is present, so we'll do some stuff. --->
<cfelse>
		<!--- Do nothing. --->
</cfif>