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

Boundary value problems

Ahmed Alsaedi¹  Faris Alzahrani²  Sotiris K Ntouyas²  Bashir Ahmad² 

[1] Department of Mathematics, University of Ioannina, Ioannina, Greece;Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia

关键词: fractional differential inclusions;    nonlocal conditions;    integral boundary conditions;    fixed point theorems;    34A60;    34A08;    34B15;   

DOI  :  10.1186/s13661-015-0346-0

学科分类：数学（综合）

来源: SpringerOpen

【 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.

【 授权许可】

CC BY