NONLOCAL FRACTIONAL BOUNDARY VALUE PROBLEMS WITH SLIT-STRIPS BOUNDARY CONDITIONS

被引：39
|
作者：
Ahmad, Bashir [1 ]
Ntouyas, Sotiris K. [1 ,2 ]
机构：
[1] King Abdulaziz Univ, Nonlinear Anal & Appl Math Res Grp NAAM, Jeddah 21589, Saudi Arabia
[2] Univ Ioannina, Dept Math, GR-45110 Ioannina, Greece
来源：
FRACTIONAL CALCULUS AND APPLIED ANALYSIS | 2015年 / 18卷 / 01期
关键词：
fractional differential equations; fractional differential inclusions; nonlocal boundary value problems; integral boundary conditions; fixed point theorem; DIFFERENTIAL-EQUATIONS; POSITIVE SOLUTIONS; EXISTENCE; INCLUSIONS; UNIQUENESS; OPERATORS; THEOREMS;
D O I：
10.1515/fca-2015-0017
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study nonlocal boundary value problems of fractional differential equations and inclusions with slit-strips integral boundary conditions. We show the existence and uniqueness of solutions for the single valued case (equations) by means of classical contraction mapping principle while the existence result is obtained via a fixed point theorem due to D. O'Regan. The existence of solutions for the multivalued case (inclusions) is established via nonlinear alternative for contractive maps. The results are well illustrated with the aid of examples.
引用
收藏
页码：261 / 280
页数：20
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