How to Sort Date in descending order From Arraylist Date in android?

Just add like this in case 1: like this

 case 0:
     list = DBAdpter.requestUserData(assosiatetoken);
     Collections.sort(list, byDate);
     for (int i = 0; i < list.size(); i++) {
         if (list.get(i).lastModifiedDate != null) {
             lv.setAdapter(new MyListAdapter(
                     getApplicationContext(), list));
         }
     }
     break;

and put this method at end of the your class

static final Comparator<All_Request_data_dto> byDate = new Comparator<All_Request_data_dto>() {
    SimpleDateFormat sdf = new SimpleDateFormat("MM/dd/yyyy hh:mm:ss a");

    public int compare(All_Request_data_dto ord1, All_Request_data_dto ord2) {
        Date d1 = null;
        Date d2 = null;
        try {
            d1 = sdf.parse(ord1.lastModifiedDate);
            d2 = sdf.parse(ord2.lastModifiedDate);
        } catch (ParseException e) {
            // TODO Auto-generated catch block
            e.printStackTrace();
        }


        return (d1.getTime() > d2.getTime() ? -1 : 1);     //descending
    //  return (d1.getTime() > d2.getTime() ? 1 : -1);     //ascending
    }
};

Create Arraylist<Date> of Date class. And use Collections.sort() for ascending order.

See sort(List<T> list)

Sorts the specified list into ascending order, according to the natural ordering of its elements.

For Sort it in descending order See Collections.reverseOrder()

Collections.sort(yourList, Collections.reverseOrder());