Make interval of time laravel - development

Make interval of time laravel

i have 2 time.
start time is 10.00 and end time is 12.00 .
so i want to make like this :
10.15 10.30 10.45 until 12.00.
the interval of this time is 12.
So how can i to make the interval of the time?

for($i=$time['from'];$i<$time['end'];$i=Carbon::createFromFormat('H:i', $i)->addMinutes(15))
{
    $time_interval[$i]=Carbon::createFromFormat('H:i', $i)->toTimeString();        }

how to know if the time have passed the end time?
can i use like this $i<

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