Can we fetch issues using JQL where created date = value taken through a custom field?

Jira Development
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Hi, I am accessing issues of a project where created date and due date is received from custom fields. But I am not able to use it.
Is there any way where I can use the values obtained from custom fields in my JQL search ?
Custom fields I want to use :

  1. Project Name : custom field for taking the project name for which the issues are to be searched from the user.
  2. Start Date : custom field for taking the created date as input from the user.
  3. End Date : custom field for taking the due date as input from the user.