Please Check the recurrence on the Subscription in reporting services. Also enable verbose logging on report server while capturing the log file.
http://technet.microsoft.com/en-us/library/ms156479.aspx
Here is a thread similar to your issue,you may take a reference:
https://social.msdn.microsoft.com/Forums/sqlserver/en-US/b78bb6e2-0810-4afd-ba6b-8b09a243f349/timed-subscription-schedule-in-ssrs-sends-out-duplicate-emails
Best Regards,
Isabella
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