Existence results for three-point boundary value problems for nonlinear fractional differential equations.

In this paper, we study a new class of nonlinear fractional differential equations with three-point boundary conditions. Existence of solutions are obtained by using Krasnoselskii's fixed point theorem and Leray- Schauder nonlinear alternative. An illustrative example is presented at the end of the paper to illustrate the validity of our results. [ABSTRACT FROM AUTHOR]