You can solve it in mysql with a complex query.
First you need to build a subquery that will generate an integer sequence, like in this answer:
SELECT @row := @row + 1 as rown FROM
(select 0 union all select 1 union all select 3 union all select 4 union all select 5 union all select 6 union all select 6 union all select 7 union all select 8 union all select 9) t1,
(select 0 union all select 1 union all select 3 union all select 4 union all select 5 union all select 6 union all select 6 union all select 7 union all select 8 union all select 9) t2,
(select 0 union all select 1 union all select 3 union all select 4 union all select 5 union all select 6 union all select 6 union all select 7 union all select 8 union all select 9) t3,
(SELECT @row:=-1) x
This will be used to generate so many rows for each entry as many days you have in your dates interval.
SELECT DATEDIFF(`end`,`begin`) as number_of_days FROM `opening_periods`
And all put together will look like this:
SELECT DATE_ADD( o.`begin`, INTERVAL days day) as date_field, t.begin, t.end
FROM `opening_periods` o INNER JOIN (
SELECT id, rown as days
FROM `opening_periods`,
(SELECT @row := @row + 1 as rown FROM
(select 0 union all select 1 union all select 3 union all select 4 union all select 5 union all select 6 union all select 6 union all select 7 union all select 8 union all select 9) t1,
(select 0 union all select 1 union all select 3 union all select 4 union all select 5 union all select 6 union all select 6 union all select 7 union all select 8 union all select 9) t2,
(select 0 union all select 1 union all select 3 union all select 4 union all select 5 union all select 6 union all select 6 union all select 7 union all select 8 union all select 9) t3,
(SELECT @row:=-1) x) numbers_table
WHERE rown <= DATEDIFF(`end`,`begin`)) r
ON o.id = r.id
INNER JOIN `opening_times` t ON o.`opening_time_id` = t.id
ORDER BY o.id
Here is a fiddle: http://rextester.com/AKDRI84101