You will have to either use the Service Desk queues or use the JIRA built-in search to find out the tickets raised via service desk.
For the built-in search, you can use the basic search or advanced search (JQL) as you would do with a standard JIRA ticket.
In short, a service desk ticket is pretty much the same as a standard JIRA ticket if you take away the special capabilities like SLAs, queues etc.
This is actually a valid question. The standard JIRA search is bad for 2 reasons:
Have raised: https://jira.atlassian.com/browse/JSD-3952
Hello there Cloud Community members! Today, we’re thrilled to announce Jira Service Management, the next generation of Jira Service Desk. Jira Service Management touts advancements in IT service ...
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