It is possible to use replication in a way where the storage engine
    on the replica is not the same as the storage engine on the source.
    For example, you can replicate modifications to an
    InnoDB table on the source to a
    MyISAM table on the replica. For more information
    see, Section 19.4.4, “Using Replication with Different Source and Replica Storage Engines”.
  
For information about setting up a replica, see Section 19.1.2.6, “Setting Up Replicas”, and Section 19.1.2.5, “Choosing a Method for Data Snapshots”. To make a new replica without taking down the source or an existing replica, use the MySQL Enterprise Backup product.
Transactions that fail on the source do not affect replication. MySQL replication is based on the binary log where MySQL writes SQL statements that modify data. A transaction that fails (for example, because of a foreign key violation, or because it is rolled back) is not written to the binary log, so it is not sent to replicas. See Section 15.3.1, “START TRANSACTION, COMMIT, and ROLLBACK Statements”.
Replication and CASCADE. 
      Cascading actions for InnoDB tables on the
      source are executed on the replica only if
      the tables sharing the foreign key relation use
      InnoDB on both the source and replica. This is
      true whether you are using statement-based or row-based
      replication. Suppose that you have started replication, and then
      create two tables on the source, where InnoDB
      is defined as the default storage engine, using the following
      CREATE TABLE statements:
    
CREATE TABLE fc1 (
    i INT PRIMARY KEY,
    j INT
);
CREATE TABLE fc2 (
    m INT PRIMARY KEY,
    n INT,
    FOREIGN KEY ni (n) REFERENCES fc1 (i)
        ON DELETE CASCADE
);
    If the replica has MyISAM defined as the default
    storage engine, the same tables are created on the replica, but they
    use the MyISAM storage engine, and the
    FOREIGN KEY option is ignored. Now we insert some
    rows into the tables on the source:
  
source> INSERT INTO fc1 VALUES (1, 1), (2, 2);
Query OK, 2 rows affected (0.09 sec)
Records: 2  Duplicates: 0  Warnings: 0
source> INSERT INTO fc2 VALUES (1, 1), (2, 2), (3, 1);
Query OK, 3 rows affected (0.19 sec)
Records: 3  Duplicates: 0  Warnings: 0
    At this point, on both the source and the replica, table
    fc1 contains 2 rows, and table
    fc2 contains 3 rows, as shown here:
  
source> SELECT * FROM fc1;
+---+------+
| i | j    |
+---+------+
| 1 |    1 |
| 2 |    2 |
+---+------+
2 rows in set (0.00 sec)
source> SELECT * FROM fc2;
+---+------+
| m | n    |
+---+------+
| 1 |    1 |
| 2 |    2 |
| 3 |    1 |
+---+------+
3 rows in set (0.00 sec)
replica> SELECT * FROM fc1;
+---+------+
| i | j    |
+---+------+
| 1 |    1 |
| 2 |    2 |
+---+------+
2 rows in set (0.00 sec)
replica> SELECT * FROM fc2;
+---+------+
| m | n    |
+---+------+
| 1 |    1 |
| 2 |    2 |
| 3 |    1 |
+---+------+
3 rows in set (0.00 sec)
    Now suppose that you perform the following
    DELETE statement on the source:
  
source> DELETE FROM fc1 WHERE i=1;
Query OK, 1 row affected (0.09 sec)
    Due to the cascade, table fc2 on the source now
    contains only 1 row:
  
source> SELECT * FROM fc2;
+---+---+
| m | n |
+---+---+
| 2 | 2 |
+---+---+
1 row in set (0.00 sec)
    However, the cascade does not propagate on the replica because on
    the replica the DELETE for
    fc1 deletes no rows from fc2.
    The replica's copy of fc2 still contains all of
    the rows that were originally inserted:
  
replica> SELECT * FROM fc2;
+---+---+
| m | n |
+---+---+
| 1 | 1 |
| 3 | 1 |
| 2 | 2 |
+---+---+
3 rows in set (0.00 sec)
    This difference is due to the fact that the cascading deletes are
    handled internally by the InnoDB storage engine,
    which means that none of the changes are logged.