example.js

var app = new Vue({
    el: '#app',

    data: {
        requests: [],
        listOfNames: []
    },

    created: function (argument) {
        this.fetchRequests()
    },

    methods: {
        fetchRequests () {
            fetch('url').then(function(data) {
                this.requests = data
            }).then(function() {
                fetch('other url').then(function(data) {
                    this.listOfNames = data
                })
            })
        }
    }

})