JSFiddle - React, Tailwind, and code Playground

HTML

<script src="http://mugifly.github.io/jquery-simple-datetimepicker/jquery.simple-dtpicker.js"></script>
<link rel="stylesheet" href="http://mugifly.github.io/jquery-simple-datetimepicker/jquery.simple-dtpicker.css">
<input id="start_time" type="text">
    <input id="end_time" type="text">

JavaScript

$('input').appendDtpicker({ "futureOnly": true,todayButton : false,});

$('#start_time').change(function() {
    var $this = $(this);
    $('#end_time').handleDtpicker('destroy');
    $('#end_time').val($this.val());
    $('#end_time').appendDtpicker({
        todayButton : false,
	    minDate: $this.val()
    });
});
$('#start_time').trigger('change');