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New existence results for nonlinear fractional differential equations with three-point integral boundary conditions. (English) Zbl 1204.34005
Summary: This paper studies a boundary value problem of nonlinear fractional differential equations of order q(1,2] 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.
MSC:
34A08Fractional differential equations
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