Existence results for fractional differential equations of arbitrary order with nonlocal integral boundary conditions

被引：13
|
作者：
Ahmad, Bashir [1 ]
Matar, Mohammed M. [2 ]
Agarwal, Ravi P. [1 ,3 ]
机构：
[1] King Abdulaziz Univ, NAAM Res Grp, Dept Math, Fac Sci, Jeddah 21589, Saudi Arabia
[2] Al Azhar Univ Gaza, Dept Math, Gaza, Israel
[3] Texas A&M Univ, Dept Math, Kingsville, TX 78363 USA
来源：
BOUNDARY VALUE PROBLEMS | 2015年
关键词：
fractional derivative; arbitrary order; integral boundary conditions; existence; fixed point; INTEGRODIFFERENTIAL EQUATIONS; POSITIVE SOLUTIONS;
D O I：
10.1186/s13661-015-0484-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigate the existence of solutions for fractional differential equations of arbitrary order with nonlocal integral boundary conditions. The existence results are obtained by applying Krasnoselskii's fixed point theorem and Leray-Schauder degree theory, while the uniqueness of the solutions is established by means of Banach's contraction mapping principle. The paper concludes with illustrative examples.
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页码：1 / 13
页数：13
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