This is by design. View Requests only shows your requests, and System Administrator, Concurrent, requests allows you to view the requests of others, due the System Administrator function.
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from your login you cannot see the requests that are submitted by other users. But, if you have SYSADMIN logic credentials you can see from there (This credentials will be with your Functional/Admin person and without proper approvals, they will not share you the SYSADMIN credentials with you ).
Or, you can use the below query to find out the Concurrent Programs that are submitted by specific user.
from fnd_concurrent_requests fcr
and fu.user_name='<USER NAME>'
order by fcr.request_id
mark my response as helpful or correct if it helped you in anyway.