Vue and laravel combination is the best and I have done lots of working examples in my blog.

Here is the working and tested coding steps for implement Fullcalendar in Vue Laravel:
1. Here are the basics command to install fresh laravel setup on your machine:

$ composer create-project --prefer-dist laravel/laravel blogvuefullcalendar
$ cd blogvuefullcalendar

2. Now here are the some npm commands you need to run into your terminal to install node module and fullcalendar:

$ npm install //install node modules
$ npm install --save vue-full-calendar //install full calendar
$ npm install --save babel-runtime //full calendar dependency
$ npm install babel-preset-stage-2 --save-dev //full calendar dependency


3. Now, you need to add below code into resources\js\app.js file:

/**
 * First we will load all of this project's JavaScript dependencies which
 * includes Vue and other libraries. It is a great starting point when
 * building robust, powerful web applications using Vue and Laravel.
 */
require('./bootstrap');
import 'fullcalendar/dist/fullcalendar.css';
window.Vue = require('vue');
import FullCalendar from 'vue-full-calendar'; //Import Full-calendar
Vue.use(FullCalendar);
/**
 * The following block of code may be used to automatically register your
 * Vue components. It will recursively scan this directory for the Vue
 * components and automatically register them with their "basename".
 *
 * Eg. ./components/ExampleComponent.vue -> <example-component></example-component>
 */
Vue.component('example-component', require('./components/ExampleComponent.vue'));
// const files = require.context('./', true, /\.vue$/i)
// files.keys().map(key => Vue.component(key.split('/').pop().split('.')[0], files(key)))
/**
 * Next, we will create a fresh Vue application instance and attach it to
 * the page. Then, you may begin adding components to this application
 * or customize the JavaScript scaffolding to fit your unique needs.
 */
const app = new Vue({
    el: '#app'
});


4. Now, you need to add below code into resources\js\components\ExampleComponent.vue file:

<template>
    <div class="container">
        <div class="row justify-content-center">
            <div class="col-md-8">
                <div class="card card-default">
                    <full-calendar :events="events"></full-calendar>
                </div>
            </div>
        </div>
    </div>
</template>
<script>
    export default {
    data() {
    return {
    events: [
    {
    title : ‘event1’,
    start : ‘2018-12-13’,
    }
    ]
    }
    },
    mounted() {
    console.log(‘Component mounted.’)
    }
  }
</script>


5. Now, you need to add below code into resources\views\welcome.blade.php file:

<div id="app"><example-component></example-component></div>
<script src="{{asset('js/app.js')}}"></script>


6. Finally, you need to run below command into your terminal and you will see working full calendar example:

$ php artisan serve

 

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