For what it's worth, you're welcome to use appropriate variations on the code below for your database backups. The backup file names contain timestamps:

EXECUTE master.dbo.xp_create_subdir N'Z:\Database Backups\Differential Backups\model'

DECLARE @DateString VARCHAR(16);

SET @DateString = CONVERT(VARCHAR(16),GETDATE(),126);

SET @DateString= REPLACE(@DateString,'-','');

SET @DateString= REPLACE(@DateString,':','');

SET @DateString= REPLACE(@DateString,'T','');

EXEC( 'BACKUP DATABASE [model] TO DISK = N''Z:\Database Backups\Differential Backups\model\model_backup_' + @DateString + '.dif'' WITH DIFFERENTIAL, NOFORMAT, NOINIT, NAME = N''model_backup_' + @DateString + ''', SKIP, REWIND, NOUNLOAD, STATS = 10, CHECKSUM' );

DECLARE @backupSetId AS INT

SELECT @backupSetId = position FROM msdb..backupset WHERE database_name=N'model' AND backup_set_id=(SELECT MAX(backup_set_id) FROM msdb..backupset WHERE database_name=N'model' )

IF @backupSetId IS NULL BEGIN RAISERROR(N'Verify failed. Backup information for database ''model'' not found.', 16, 1) END

EXEC( 'RESTORE VERIFYONLY FROM DISK = N''Z:\Database Backups\Differential Backups\model\model_backup_' + @DateString + '.dif'' WITH FILE = ' + @backupSetId + ', NOUNLOAD, NOREWIND, CHECKSUM' );