Existence of solutions for fractional q -difference equation with mixed nonlinear boundary conditions

Advances in Difference Equations

Ping Zhao¹  Xinhui Li²  Zhenlai Han²  Shurong Sun² 

[1] School of Control Science and Engineering, University of Jinan, Jinan, P.R. China;School of Mathematical Sciences, University of Jinan, Jinan, P.R. China

关键词: fractional q-difference equations;    mixed nonlinear conditions;    fixed point theorem in cones;    existence of solutions;   

DOI  :  10.1186/1687-1847-2014-326

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we study the boundary value problem for a class of nonlinear fractional q-difference equation with mixed nonlinear conditions involving the fractional q-derivative of Riemann-Liouuville type. By means of the Guo-Krasnosel’skii fixed point theorem on cones, some results concerning the existence of solutions are obtained. Finally, examples are presented to illustrate our main results. MSC:39A13, 34B18, 34A08.

【 授权许可】

CC BY