An essay is usually written in response to a question or proposition. The essays are generally written in an educational and analytical tone. . It discusses both the arguments in favor and against of the topic. The essays usually do not need any formal format and no headings and sub-headings are used.
The purpose of an paper is to inform the readers of a concept. The paper are written in a conversational tone so as to inform the readers of a concept in an interesting manner. The paper however usually follow a heading and sub-headings format to make readers understand the concept easily.
Reference :- http://gk.queryhome.com/7167/what-is-the-difference-between-paper-journal-and-easy?show=7174#a7174