New fractional-order multivalued problems with nonlocal nonlinear flux type integral boundary conditions

被引：6

作者：

Ahmad, Bashir ^{[1
]}

Ntouyas, Sotiris K. ^{[1
,2
]}

Alsaedi, Ahmed ^{[1
]}

Alzahrani, Faris ^{[1
]}

机构：

[1] King Abdulaziz Univ, Nonlinear Anal & Appl Math NAAM Res Grp, Dept Math, Fac Sci, Jeddah 21589, Saudi Arabia

[2] Univ Ioannina, Dept Math, GR-45110 Ioannina, Greece

来源：

BOUNDARY VALUE PROBLEMS | 2015年

关键词：

fractional differential inclusions; nonlocal conditions; integral boundary conditions; fixed point theorems; DIFFERENTIAL-INCLUSIONS; POSITIVE SOLUTIONS; EQUATIONS; EXISTENCE; SPACES;

D O I：

10.1186/s13661-015-0346-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study new fractional-order multivalued problems supplemented with nonlocal nonlinear flux type integral boundary conditions. Some existence results are obtained for convex as well as non-convex multivalued maps by applying standard fixed point theorems for such maps. We also discuss examples for the illustration of our results.

引用

页码：1 / 16

页数：16

共 37 条

[11] EXTENSIONS AND SELECTIONS OF MAPS WITH DECOMPOSABLE VALUES [J].