New Existence Results for Nonlinear Fractional Differential Equations with Three-Point Integral Boundary Conditions

被引：92
|
作者：
Ahmad, Bashir [1 ]
Ntouyas, Sotiris K. [2 ]
Alsaedi, Ahmed [1 ]
机构：
[1] King Abdulaziz Univ, Dept Math, Fac Sci, Jeddah 21589, Saudi Arabia
[2] Univ Ioannina, Dept Math, GR-45110 Ioannina, Greece
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2011年
关键词：
Fractional Order; Fractional Derivative; Fractional Calculus; Fractional Differential Equation; Topological Degree;
D O I：
10.1155/2011/107384
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
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收藏
页数：11
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