Linux application installers tend to be distribution specific. Each distribution tends to do it "their way." Most, but not all, use one of the more common varieties of package management systems, such as RPMs or debs. But even in those cases, there are differences in implementation between distros. Some use esoteric systems that are unique, or nearly so to that distribution. At least one distro builds everything from source on the user's machine. Building an RPM, deb, or other package requires a fair bit of distro specific knowledge.
Applications can also be installed via scripts packed in a "tarball" with the app. It's a more generic way of doing it. A lot of applications are packaged that way. Writing the scripts and knowing what to put with them requires a good bit of Linux knowledge.
A very simple single file app can sometimes be installed simply by the users by putting it in the right directory and giving it execute permission. If ithe app uses a config file, it can be coded to write it's own when it first starts up. FP provides the GetAppConfigDir function to query the system on where the config file(s) should reside.
Your best bet would be to get with someone familiar with Linux and ask him to write the installer scripts for you. Pack up the whole thing in a tarball, and hope for the best.
I hope this helps. It's about the sum total of my knowledge on the subject, outside of my own distro's package installation tools.