Code Sample:

array(
    'id'      => 'date_format_field',
    'title'   => __('date format Field','text-domain'),
    'details' => __('Description of date format field','text-domain'),
    'type'    => 'date_format',
    'args'    => array('F j, Y' ,'Y-m-d', 'm/d/Y' ,'d/m/Y' ),
    'default' => 'F j, Y',
),

 

Preview:

WordPress Option Framework