Electronic Journal of Differential Equations, Vol. 2009(2009), No. 129, pp. 1-8. Title: Existence and uniqueness of solutions for the fractional integro-differential equations in Banach spaces Authors: Jun Wu (Changsha Univ., China) Yicheng Liu (National Univ. of Defense Technology, Changsha, China) Abstract: In this article, we established the existence and uniqueness of solutions for fractional integro-differential equations with nonlocal conditions in Banach spaces. Krasnoselskii-Krein-type conditions are used for obtaining the main result. Submitted August 21, 2009. Published October 07, 2009. Math Subject Classifications: 34K45. Key Words: Fractional integro-differential equations; nonlocal condition; equivalent norms.