Asuming you received a date in Javascript Date format you need Date.parse() function or compare by comparison operators. It will return the milliseconds that have passed since 01/01/1970 00:00
Somehow like this:
if(Date.parse(datetimeStart) < Date.parse(datetimeEnd)){
//start is less than End
}else{
//end is less than start
}
Here is a Fiddle