ตัวอย่างการแก้ไข carousel หรือ slideshow โดย update slide จาก ajax

<!doctype html>
<html>

<head>
    <meta charset="utf-8">
    <title>kenwheeler.slick: ajax update</title>
    <link href="../vendor/components/font-awesome/css/font-awesome.min.css" rel="stylesheet" type="text/css" />
    <link href="../vendor/kenwheeler/slick/slick/slick.css" rel="stylesheet" type="text/css" />
    <link href="../vendor/kenwheeler/slick/slick/slick-theme.css" rel="stylesheet" type="text/css" />
    <link href="theme.css" rel="stylesheet" type="text/css" />
</head>

<body>
    <div id="slideshowA"></div><br>
    <select id="order_by">
    <option value="asc">น้อยไปมาก</option>
    <option value="desc">มากไปน้อย</option>
    <option value="random">สุ่ม</option>
    </select>
    <script src="../vendor/components/jquery/jquery.min.js"></script>
    <script src="../vendor/kenwheeler/slick/slick/slick.min.js"></script>
    <script>
        $(function() {

            var order_by = $('#order_by');
            var slideshowA = $('#slideshowA');

            function getSliderSettings() {
                return {
                    "autoplay": false,
                    "autoplaySpeed": 3000,
                    "centerMode": true,
                    "infinite": false,
                    "slidesToScroll": 4,
                    "slidesToShow": 4,
                    "speed": 300,
                    "variableWidth": true,
                    "zIndex": 2
                }
            }

            function getSlideShow() {

                $.ajax({
                    "data": {
                        "order_by": order_by.val(),
                    },
                    "success": function(data, textStatus, jqXHR) {

                        /* add items */
                        $.each(data.datas, function(index, value) {
                            slideshowA.append('<div><b>' + index + '</b><img alt="' + index + '" src="' + value + '"><p>แสดง ' + index + ' จาก http://www.avatarsdb.com</p></div>');
                        });

                        slideshowA.slick('unslick'); /* ONLY remove the classes and handlers added on initialize */
                        $('.my-slide').remove(); /* Remove current slides elements, in case that you want to show new slides. */
                        slideshowA.slick(getSliderSettings()); /* Initialize the slick again */

                        alert('ทดลองดูครับ');

                    },
                    "url": "ajax.php",
                });

            }

            order_by.change(function() {
                getSlideShow();
            });

            getSlideShow();
            slideshowA.slick(getSliderSettings());
        });
    </script>
</body>

</html>

ไฟล์ที่ส่งข้อมูลกลับมาให้

<?php
$datas = [];

if (isset($_GET['order_by'])) {
    $order_by = $_GET['order_by'];
} else {
    $order_by = 'asc';
}

$datas['Acrobat'] = 'http://www.avatarsdb.com/avatars/acrobat.gif';
$datas['Cat Rain'] = 'http://www.avatarsdb.com/avatars/cat_rain.gif';
$datas['Dota Windranger'] = 'http://www.avatarsdb.com/avatars/dota_windranger.jpg';
$datas['Fighting Funny'] = 'http://www.avatarsdb.com/avatars/fighting_funny.gif';
$datas['Fire 01'] = 'http://www.avatarsdb.com/avatars/fire_01.gif';
$datas['German Shepherd Puppy'] = 'http://www.avatarsdb.com/avatars/german_shepherd_puppy.jpg';
$datas['Girl With Cigarette'] = 'http://www.avatarsdb.com/avatars/girl_with_cigarette.jpg';
$datas['Hidden Cat'] = 'http://www.avatarsdb.com/avatars/hidden_cat.jpg';
$datas['Im Fabulous'] = 'http://www.avatarsdb.com/avatars/im_fabulous.jpg';
$datas['One Direction'] = 'http://www.avatarsdb.com/avatars/One_Direction.jpg';
$datas['Panda Kiss'] = 'http://www.avatarsdb.com/avatars/panda_kiss.gif';
$datas['PC User'] = 'http://www.avatarsdb.com/avatars/pc_user.gif';
$datas['Riri Queen'] = 'http://www.avatarsdb.com/avatars/riri_queen.gif';
$datas['Tennessee'] = 'http://www.avatarsdb.com/avatars/tennessee.jpg';
$datas['Tuxedo M'] = 'http://www.avatarsdb.com/avatars/Tuxedo_m.jpg';
$datas['Tuxedo Mask'] = 'http://www.avatarsdb.com/avatars/tuxedo_mask.jpg';
$datas['Ugly Face'] = 'http://www.avatarsdb.com/avatars/ugly_face.gif';
$datas['Waifu'] = 'http://www.avatarsdb.com/avatars/waifu.jpg';
$datas['Wolf In The Snow'] = 'http://www.avatarsdb.com/avatars/wolf_in_the_snow.jpg';
$datas['Xerxes Break Kevin'] = 'http://www.avatarsdb.com/avatars/xerxes_break_kevin.jpg';

switch ($order_by) {
    case 'desc':{krsort($datas);}
        break;

    case 'random':{
            $keys = array_keys($datas);
            shuffle($keys);
            $random = [];
            foreach ($keys as $key) {
                $random[$key] = $datas[$key];
            }
            $datas = $random;
        }break;

    case 'asc':
    default:
        {ksort($datas);}
        break;
}

header('Content-type: application/json; charset=utf-8');
echo json_encode([
    'datas' => $datas,
    'order_by' => $order_by,
]);

code บางส่วนจะอยู่ในบทความ slick: สร้าง carousel / slideshow

Credit: Reinitialize Slick js after successful ajax call