I did it by adding swipeleft and swiperight event handlers to my datepicker container:
  $("#datepicker").on("swipeleft", function(){
    $("#datepicker table").first().animate({
      marginLeft: "-100%"
    },{
      duration: "fast",
      complete: function () {
        $.datepicker._adjustDate("#datepicker", +1, "M" );
      }
    });
  });
  $("#datepicker").on("swiperight", function(){
    $("#datepicker table").first().animate({
      marginLeft: "100%"
    },{
      duration: "fast",
      complete: function () {
        $.datepicker._adjustDate("#datepicker", -1, "M" );
      }
    });
  });
Both events are documented here: swipeleft and here: swiperight.
In addition, i just used this answer from SO How to disable text selection using jQuery? to avoid text selection inside my datepicker calendar (credits: Damien):
  $(".ui-datepicker").attr('unselectable','on')
     .css({'-moz-user-select':'-moz-none',
           '-moz-user-select':'none',
           '-o-user-select':'none',
           '-khtml-user-select':'none',
           '-webkit-user-select':'none',
           '-ms-user-select':'none',
           'user-select':'none'
     }).bind('selectstart', function(){ return false; });
As you don't specify why the answer mentioned by you hasn't worked in your case, feel free to check my Plunker demo also in a real mobile device and let me know if this works now for you.
EDIT:
I made a small change to avoid a nasty drag side effect when a datepicker button is selected:
<div id="datepicker" ondragstart="return false;"></div>
Now it works nice and smoothly!
Credits: SyntaxError from this answer: Disable Drag and Drop on HTML elements?