How can I use with differential backup of SQL Server
Differentials are useful only in the presence of log backups. A restore starts from the last full, and then all log backups are applied. In a typical scenario of backing up the log, say, every 15 minutes, the number of log backups to be applied can quickly escalate. Having differentials allow the sequence to be shortened to last full -> last differential -> all log backups after that.


  I'm looking for a solution to restore my data from the primary database
  to the standby one


That is called Log Shipping and is built into the product. You must change the recovery model to full (or at least bulk_logged) and start taking log backups. There is just no way to avoid this.