A new class of fractional boundary value problems

被引：1
|
作者：
Ahmad, Bashir [1 ]
Alsaedi, Ahmed [1 ]
Assolami, Afrah [1 ]
Agarwal, Ravi P. [1 ,2 ]
机构：
[1] King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah 21589, Saudi Arabia
[2] Texas A&M Univ, Dept Math, Kingsville, TX 78363 USA
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2013年
关键词：
fractional differential equations; nonlocal boundary conditions; fixed point theorems; POSITIVE SOLUTIONS; DIFFERENTIAL-EQUATIONS; EXISTENCE;
D O I：
10.1186/1687-1847-2013-373
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a fractional boundary value problem with a new boundary condition is studied. This new boundary condition relates the nonlocal value of the unknown function at xi with its influence due to a sub-strip (eta, 1), where 0 < xi < eta < 1. The main results are obtained with the aid of some classical fixed point theorems and Leray-Schauder nonlinear alternative. A demonstration of applications of these results is also given.
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