On existence of solutions for fractional differential equations with nonlocal multi-point boundary conditions

被引：17
|
作者：
Houas M. [1 ,2 ]
Dahmani Z. [1 ,2 ]
机构：
[1] Department of Mathematics, University of Khemis Miliana, Khemis Miliana
[2] Laboratory LPAM, UMAB, University of Mostaganem, Mostaganem
来源：
Lobachevskii Journal of Mathematics | 2016年 / 37卷 / 2期
关键词：
Caputo fractional derivative; existence; fractional boundary value problem; uniqueness;
D O I：
10.1134/S1995080216020050
中图分类号：
学科分类号：
摘要：
This paper investigates the existence of solutions for a boundary value problem of nonlinear fractional differential equations with nonlocal boundary conditions. We use Banach fixed point theorem to prove an existence and uniqueness result. Then, by using O’Regan fixed point theorem, we prove an existence result. Finally, illustrative examples of our main results are presented. © 2016, Pleiades Publishing, Ltd.
引用
收藏
页码：120 / 127
页数：7
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