jQuery UI sliders on touch devices

This library seems to offer what you’re looking for:

https://github.com/furf/jquery-ui-touch-punch#readme

It also has some example use code (simply add the plugin):

<script src="http://code.jquery.com/jquery.min.js"></script>
<script src="http://code.jquery.com/ui/1.8.17/jquery-ui.min.js"></script>
<script src="jquery.ui.touch-punch.min.js"></script>
<script>
  $('#widget').draggable();
</script>