The expressions “Wesleyan-Arminian” or “Wesleyan” are terms used to summarize the doctrines or theology taught by James Arminius and John Wesley and historic Methodism. This form of theology is primarily biblical in that the Bible is the final and full authority in matters of Christian principles and practice. It is also historical in that it does not seek to add to or take away from the purist streams of Christian life or from the very best of the history of the Christian Church.
For a summary of these historic doctrines, please see this article: Daniel Whedon, Doctrines of Methodism.
For a list of the various denominations that are part of the Wesleyan-Arminian theological tradition, please see this article: Methodist Churches.