New Existence Results for Nonlinear Fractional Differential Equations with Three-Point Integral Boundary Conditions
New Existence Results for Nonlinear Fractional Differential Equations with Three-Point Integral Boundary Conditions
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DOI：
10.1155/2011/107384
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发表时间：
2011-01-01
影响因子：
4.1
通讯作者：
Alsaedi, Ahmed
中科院分区：
文献类型：
--
作者：
Ahmad, Bashir;Ntouyas, Sotiris K.;Alsaedi, Ahmed
本文研究了一类q阶非线性分数阶微分方程的边值问题，其边值条件为三点积分边界条件。利用标准不动点定理和Leray-Schauder度理论得到了一些新的存在唯一性结果。我们的结果是新的意义上说，非局部参数在三点积分边界条件中出现的条件的积分部分，在现有的文献中，三点边值问题，其中涉及的三点边界条件的限制的解决方案或梯度的问题。文中还讨论了一些示例。
This paper studies a boundary value problem of nonlinear fractional differential equations of order q is an element of (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.