Electronic Journal of Differential Equations, Vol. 2013 (2013), No. 59, pp. 1-10. Title: Entire solutions of Fermat type $q$-difference differential equations Authors: Kai Liu (Nanchang Univ., Jiangxi, China) Ting-Bin Cao (Nanchang Univ., Jiangxi, China) Abstract: In this article, we describe the finite-order transcendental entire solutions of Fermat type $q$-difference and $q$-difference differential equations. In addition, we investigate the similarities and other properties among those solutions. Submitted November 25, 2012. Published February 26, 2013. Math Subject Classifications: 39B32, 34M05, 30D35. Key Words: q-difference equations; q-difference differential equations; entire solutions; finite order.