Referring superb demo given by shay and below two links I successfully deployed ADF SRDemo and our Inhouse PSR Rocket Automation tool developed using ADF 10.1.3.3 into Oracle WebLogic 10.3 Application Server.
Links :
weblogic on windows
http://www.oracle.com/technology/products/jdev/howtos/weblogic/deployingwls.html
weblogic on linux
http://blog.fekw.de/2008/08/23/howto-install-adf-10-runtime-and-deploy-adf-bc-app-to-oracle-weblogic-103-running-on-linux/
You may notice unable to checkout application module exceptions even after referring above links, to rectify this you need to cross check your ADF Runtime library are properly installed to weblogic BC4J directory, if not you can copy jdeveloper BC4J jlib/lib jar into weblogic BC4j jlib/lib directory.