Compare dates of different format

var date1 = new Date('Fri Aug 1 18:52:21 UTC+0530 2014');
var date2 = new Date('2014-08-12T13:09:00');

// gets month and year values - month is zero based so +1 ensures correct month, though if you simply want to compare values you don't need to do +1 nor the `/`! - see details below
var date1Short = date1.getMonth() + 1 + '/' + date1.getFullYear(); // date1Short is now '8/2014'
var date2Short = date2.getMonth() + 1 + '/' + date2.getFullYear(); // date2Short is now '8/2014'

// Now compare your values
if(date1Short === date2Short){
  //....
} else {
   //....
}

// if values are only used for compare then no +1 or '/' is needed and the below will work too
// + '' is needed below to prevent addition (7+2014) and ensure string concatenation instead (72014)

var date1Short = date1.getMonth() + '' + date1.getFullYear(); // date1Short would then be '72014';
var date2Short = date2.getMonth() + '' + date2.getFullYear(); // date2Short would then be '72014';