Electronic Journal of Differential Equations, Vol. 2012 (2012), No. 230, pp. 1-14. Title: Solvability of fractional-order multi-point boundary-value problems at resonance on the half-line Authors: Yi Chen (Central South Univ., Changsha, Hunan, China) Zhanmei Lv (Central South Univ., Changsha, Hunan, China) Abstract: In this article, we study a fractional differential equation. By constructing two special Banach spaces and establishing an appropriate compactness criterion, we present some existence results about the boundary-value problem at resonance via Mawhin's continuation theorem of coincidence degree theory. Submitted July 13, 2012. Published December 18, 2012. Math Subject Classifications: 26A33, 34A08, 34A34. Key Words: Fractional order; half-line; coincidence degree; resonance.