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
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
收藏
页码:1 / 16
页数:16
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