custom-js

    jQuery(document).ready(function () {
       var slide_show = $('.center-slider-carusel').attr('slide_show');
        slide_show = parseInt(slide_show, 10);
        jQuery(".center-slider-carusel").slick({
            slidesToShow: slide_show,
            slidesToScroll: 1,
            dots: true,
            infinite: true,
            centerMode: true,
            autoplaySpeed: 6000,
            arrows: false,
            responsive: [
                {
                    breakpoint: 768,
                    settings: {
                        slidesToShow: 3,
                        slidesToScroll: 1
                    }
                },
                {
                    breakpoint: 568,
                    settings: {
                        slidesToShow: 1,
                        slidesToScroll: 1
                    }
                }

            ]
        });
    });

custom-widget

<?php
namespace DopeCore\Widgets;

use Elementor\Widget_Base;
use Elementor\Controls_Manager;

if ( ! defined( 'ABSPATH' ) ) exit; // Exit if accessed directly

/**
 * @since 1.1.0
 */
class Center_Mode_Carousel extends Widget_Base {
    public function get_name() {
        return 'Center Mode Carousel';
    }

    /**
     * Get widget title.
     *a
     * Retrieve oEmbed widget title.
     *
     * @since 1.0.0
     * @access public
     *
     * @return string Widget title.
     */
    public function get_title() {
        return __( 'Center Mode Carousel', 'dope-core' );
    }

    /**
     * Get widget icon.
     *
     * Retrieve oEmbed widget icon.
     *
     * @since 1.0.0
     * @access public
     *
     * @return string Widget icon.
     */
    public function get_icon() {
        return 'eicon-slider-album';
    }

    /**
     * Get widget categories.
     *
     * Retrieve the list of categories the oEmbed widget belongs to.
     *
     * @since 1.0.0
     * @access public
     *
     * @return array Widget categories.
     */
    public function get_categories() {
        return [ 'dope-elements' ];
    }


    public function get_script_depends() {
        return ['jquery-slick'];
    }


    /**
     * Register oEmbed widget controls.
     *
     * Adds different input fields to allow the user to change and customize the widget settings.
     *
     * @since 1.0.0
     * @access protected
     */
    protected function _register_controls() {

        $this->start_controls_section(
            'content_section',
            [
                'label' => __( 'Center Mode Carousel', 'dope-core' )
            ]
        );

        $this->add_control(
            'gallery',
            [
                'label' => __( 'Add Images', 'dope-core' ),
                'type' => Controls_Manager::GALLERY,
                'default' => [],
            ]
        );

        $this->end_controls_section();

        $this->start_controls_section(
            'style_section',
            [
                'label' => __( 'Center Mode Carousel Settings', 'dope-core' )
            ]
        );

        $this->add_control(
            'autoplay',
            [
                'label' => __( 'Autoplay', 'dope-core' ),
                'type' => Controls_Manager::SWITCHER,
                'label_on' => __( 'On', 'dope-core' ),
                'label_off' => __( 'Off', 'dope-core' ),
                'return_value' => 'true',
                'default' => 'true',
            ]
        );

        $this->add_control(
            'slide_show',
            [
                'label' => __( 'Slide To Show', 'dope-core' ),
                'type' => Controls_Manager::NUMBER,
                'min' => 1,
                'max' => 30,
                'step' => 1,
                'default' => 5
            ]
        );

        $this->add_control(
            'slide_scroll',
            [
                'label' => __( 'Slide To Scroll', 'dope-core' ),
                'type' => Controls_Manager::NUMBER,
                'min' => 1,
                'max' => 30,
                'step' => 1,
                'default' => 1
            ]
        );

        $this->end_controls_section();
    }

    /**
     * Render oEmbed widget output on the frontend.
     *
     * Written in PHP and used to generate the final HTML.
     *
     * @since 1.0.0
     * @access protected
     */
    protected function render()
    {

        $settings = $this->get_settings_for_display();

        $this->add_render_attribute(
            'center-mode-carousel',
            [
                'class' => [ 'center-slider-carusel'],
                'slide_show' => $settings['slide_show'],
                'slide_scroll' => $settings['slide_scroll'],
                'autoplay' => $settings['autoplay'],
            ]
        );

        ?>

        <div <?php echo $this->get_render_attribute_string( 'center-mode-carousel' ); ?> >
        <?php foreach ($settings['gallery'] as $item):?>
            <div class="single-slider"><img src="<?php echo($item['url']); ?>"></div>
        <?php
        endforeach; ?>
        </div>

    <?php }

}