<template>
 <div class="app">
  <keep-alive :include="keepAlive" >
   <router-view/>
  </keep-alive>
 </div>
</template>

<script type='text/javascript'>
export default {
 data () {
  return {}
 },
 computed: {
  keepAlive () {
   return this.$store.getters.keepAlive
  }
 }
}
</script>

import Vue from 'vue'
import Vuex from 'vuex'

Vue.use(Vuex)

export default new Vuex.Store({
 state: {
  keepAlive: []
 },
 mutations: {
  SET_KEEP_ALIVE: (state, keepAlive) => {
   state.keepAlive = keepAlive
  }
 },
 getters: {
  keepAlive: state => state.keepAlive
 }
})

<script>
  export default {
    name: 'A',
    methods: {
      buttonClick () {
        this.$store.commit('SET_KEEP_ALIVE', ['B', 'C', 'D']) 
　　　　　　　　　 this.$router.push('/B') 
　　　　　　　} 
　　　　　} 
　　}
</script>

<script>
  export default {
    name: 'B',
    beforeRouteEnter (to, from, next) {
      next(vm => {
        if (from.path.indexOf('C') > -1) {
          vm.$store.commit('SET_KEEP_ALIVE', ['B'])
        }
      })
    },
    beforeRouteLeave (to, from, next) {
      if (to.path.indexOf('C') > -1) {
        this.$store.commit('SET_KEEP_ALIVE', ['B', 'C'])
      } else if (to.path.indexOf('A') > -1) {
　　　　　　　　　this.$store.commit('SET_KEEP_ALIVE', [])　
      }
      next()
    }
　}
</script>  

"vue": "^2.5.2",

export default {
  name: "index"
}

// app.vue
<keep-alive include="app,index">
  <router-view></router-view>
</keep-alive>

// other.vue
<keep-alive include="app,index">
  <router-view></router-view>
</keep-alive>