Calendar c=Calendar.getInstance();
year=c.get(c.YEAR);
month=c.get(c.MONTH);
month++;
date=c.get(c.DATE);

Calendar c=Calendar.getInstance();
year1=c.get(c.YEAR);
week1=c.get(c.WEEK_OF_YEAR);

Calendar c=Calendar.getInstance();
c.setTimeInMillis(/*Second date in millis here*/)
year2=c.get(c.YEAR);
week2=c.get(c.WEEK_OF_YEAR);

if(year1 == year2){
       if(week1 == week2}{
         //Do what you want here

       }
    }
}

compile 'joda-time:joda-time:2.3'


public static boolean isSameWeek(final Date d1, final Date d2) {
    if ((d1 == null) || (d2 == null))
        throw new IllegalArgumentException("The date must not be null");

    return isSameWeek(new DateTime(d1), new DateTime(d2));
}

public static boolean isSameWeek(final DateTime d1, final DateTime d2) {
    if ((d1 == null) || (d2 == null))
        throw new IllegalArgumentException("The date must not be null");

    // It is important to use week of week year & week year

    final int week1 = d1.getWeekOfWeekyear();
    final int week2 = d2.getWeekOfWeekyear();

    final int year1 = d1.getWeekyear();
    final int year2 = d2.getWeekyear();

    final int era1 = d1.getEra();
    final int era2 = d2.getEra();

    // Return true if week, year and era matches
    if ((week1 == week2) && (year1 == year2) && (era1 == era2))
        return true;

    // Return false if none of the conditions are satisfied
    return false;
}

public class TestDateUtil {

@Test
public void testIsSameWeek() {

    final DateTime d1 = new DateTime(2014, 12, 31, 0, 0);
    final DateTime d2 = new DateTime(2015, 1, 1, 0, 0);
    final DateTime d3 = new DateTime(2015, 1, 2, 0, 0);
    final DateTime d4 = new DateTime(2015, 1, 8, 0, 0);

    assertTrue(isSameWeek(d1, d2));
    assertTrue(isSameWeek(d2, d1));

    assertTrue(isSameWeek(d2, d3));
    assertTrue(isSameWeek(d3, d2));

    assertFalse(isSameWeek(d2, d4));
    assertFalse(isSameWeek(d4, d2));

    assertFalse(isSameWeek(d1, d4));
    assertFalse(isSameWeek(d4, d1));

}
}