When Art Quilts first burst upon the scene in the 1970’s, most artists followed the convention used in traditional quilts of using a border for their work. See Michael James, Blue Nebula, 1979.
Soon however they were interrupting the border, using it as a design element, or otherwise changing its function as a “frame” for the quilt.
Most recently, the style is to dispense with it altogether, or keep a ¼” binding only. The edges may be bound to the back, stitched, or even left raw. Any of these methods allow the image to go all the way to the edges.
What I usually do is either bind to the back, or use a hand embroidery stitch called “Blanket Stitch” all the way around the piece.
Here are some examples of various treatments, some from the 2015 Quilt National show, a major style setter.