Existence of solutions for fractional q -integro-difference inclusions with fractional q -integral boundary conditions

Advances in Difference Equations

Sotiris K Ntouyas¹  Bashir Ahmad¹  Ahmed Alsaedi² 

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

关键词: fractional differential inclusions;    nonlocal boundary conditions;    fixed point theorems;   

DOI  :  10.1186/1687-1847-2014-257

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we investigate the existence of solutions for a nonlocal boundary value problem of fractional q-integro-difference inclusions of two fractional orders with Riemann-Liouville fractional q-integral boundary conditions. A new existence result is obtained by making use of a nonlinear alternative for contractive maps and is well illustrated with the aid of an example. MSC:34A60, 34A08.

【 授权许可】

CC BY