izyim/resources/assets/vue/components/common/DatePickerComponent.vue

<template>
    <input type="text" class="form-control" v-datepicker :value="value" v-on:changeDate="updateDate($event)">
</template>

<script>
    export default {
        directives: {
            datepicker: {
                inserted (el,) {
                    let vm = this;
                    $(el).datepicker({
                        autoclose: true,
                        format: 'dd/mm/yyyy',
                        todayBtn: true,
                        todayHighlight: true
                    }).on('changeDate',function(e){
                        this.updateDate(event.target.value)
                    })
                }
            }
        },
        props: ['value'],
        methods: {
            updateDate(value){
                alert(value);

            }
        }
    }
</script>