Cochran's earlier works show stylistic influences from Impressionist music and his later works are more noticeably influenced by Classical music and folk music of Eastern Europe. The piano works include Toccata & Fire Dance, ten preludes, four scherzi, six Romanian Dances, Animation Suite composed of Tin Sentinel, Clockwork Doll, Wooden Dolls (Matreshki), Goat's Dance and Flydian Galop, five mazurkas, the impressionistic work Maelstrom, Fantasy, three waltzes titled Valses, two piano sonatas and a cycle of works titled Pegasus' Travels. Related to the piano works are seven pieces published for concert harp. Cochran also wrote orchestral and chamber music including the trio for violin, cor anglais and concert harp or piano Artemis, the sextet for string quartet, oboe and bassoon Zorya Vechernyaya, the four-part orchestral work Symphonic Tale, Two Valses for symphony orchestra, the Romanian Dances for chamber orchestra, Dagda's Harp Fantasy for symphony orchestra and choral works.
Cochran's music has been performed at Carnegie Hall in New York, the Amsterdam Concertgebouw, the Berlin Konzerthaus, and the Saint Petersburg Philharmonic Hall in Russia. The International Cochran Piano Competition is held in Warsaw, Poland.
- Jeffrey Williams (15 February 2014). "Gil Sullivan - Pianist in review". New York Concert Review.
- Peter Burwasser, Colin Clarke, David DeBoor Canfield, Levon Parikian, David Sawtelle (authors selected in relation to 'impressionistic' reference) (2015). Musician's Armchair Reading. Robert Bremner Publishing. pp. 20, 200, 201, 202, 204, 206. ISBN 9780646959054.CS1 maint: Multiple names: authors list (link)
- Graham Spicer. "Composer Julian Cochran on music, maths and method". Gramilano.com. Retrieved 12 October 2012.
- Aiden Frazier. "Aiden Frazier interview with Julian Cochran" (PDF). Robert Bremner Publishing.
- Jeffrey Williams (15 February 2014). "Gil Sullivan - Pianist in review". New York Concert Reviews.
- "Complete Published Works by Cochran". Cochran Archives. 2011-07-19.
- "Pan-European Philharmonic performs Cochran's Symphonic Tale". Pan-European Philharmonic. 2014-06-01.
- Sauter Pianomanufaktur. "Sauter Pianos (Noticias y eventos :: News :: Sauter Concert 275 In Carnegie Hall)". Sauter-pianos.de. Retrieved 17 September 2011.
- Jeffrey Williams (15 February 2014). "Review of Julian Cochran at Carnegie Hall". New York Concert Review.
- Farrin Foster (15 February 2014). "Art In Many Forms". CityMag Magazine.
- Farrin Foster. "Art In Many Forms". CityMag Magazine. Retrieved 1 March 2014.
- "Julian Cochran Concert, 14 March 2014". Cochran Music. Retrieved 1 March 2014.
- "International Cochran Piano Competition". International Cochran Piano Competition. Retrieved 2 January 2015.
- Carnegie Hall 2013 sleeve notes, Cochran's mazurkas and preludes includes comments by the composer.