An intraluminal catheter device having an expandable member formed of a matrix of fiber elements with a therapeutic agent incorporated therein. The therapeutic agent can be coated on the fiber elements in a co-axial configuration. The fiber elements may also have a second coating including a protective substance surrounding the therapeutic agent. The matrix of fiber elements can be formed by electrospinning. A process of delivering a therapeutic agent to a target site includes providing an intraluminal catheter device having an expandable member formed of a matrix of fiber elements, the expandable member having a therapeutic agent dispersed therein, and advancing the catheter device at a desired treatment site. Once at the desired treatment site, fluid is introduced into the inflation lumen to expand the expandable member from a first profile to a second profile, and the therapeutic agent is delivered to the desired treatment site.