testing
HTML
<script src="//cdnjs.cloudflare.com/ajax/libs/moment.js/2.5.1/moment.min.js"></script>
<div id="test">
</div>
JavaScript
let start = '2017-03-13T00:00:00'
let end = '2017-03-13T00:00:00'
let date = '2017-03-12'
let mStart = moment(start).format('YYYY-MM-DD')
let mEnd = moment(end).format('YYYY-MM-DD')
if (date >= mStart && date <= mEnd) {
$('#test').text('TRUE');
}