Copyright © 2011 Bashir Ahmad et al. This is an open access article distributed under the
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This paper studies a boundary value problem of nonlinear fractional differential
equations of order 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.