On four-point nonlocal boundary value problems of nonlinear integro-differential equations of fractional order

In this paper, we prove the existence and uniqueness of solutions for a four-point nonlocal boundary value problem of nonlinear integro-differential equations of fractional order q is an element of (1,2] by applying some standard fixed point theorems. An illustrative example is also presented. (C) 2010 Elsevier Inc. All rights reserved.