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<p/> <p>This paper studies a boundary value problem of nonlinear fractional differential equations of order <inline-formula><graphic file="1687-1847-2011-107384-i1.gif"/></inline-formula> with three-point integral boundary conditions. Some new existence and uniqueness results are obtained by using standard fixed point theorems and Leray-Schauder degree theory. Our results are new in the sense that the nonlocal parameter in three-point integral boundary conditions appears in the integral part of the conditions in contrast to the available literature on three-point boundary value problems which deals with the three-point boundary conditions restrictions on the solution or gradient of the solution of the problem. Some illustrative examples are also discussed.</p>