A portable terminal apparatus includes a bended display including a front display area and a side display area, and a controller that displays a UI element corresponding to an application on a side display area of the bended display if the cover is closed, and in response to a touch with respect to at least one UI element from among the UI elements and an opening of the cover being detected, executes an application corresponding to a UI element with the detected touch, and controls the bended display so that an execution screen of the application is displayed on the front display area.