Boundary value problems for fractional q -difference equations with nonlocal conditions

Advances in Difference Equations

Hongling Lu¹  Xinhui Li¹  Zhenlai Han¹  Shurong Sun¹ 

[1] School of Mathematical Sciences, University of Jinan, Jinan, P.R. China

关键词: fractional q-difference equations;    boundary value problems;    existence of solutions;   

DOI  :  10.1186/1687-1847-2014-57

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we study the boundary value problem of a fractional q-difference equation with nonlocal conditions involving the fractional q-derivative of the Caputo type, and the nonlinear term contains a fractional q-derivative of Caputo type. By means of Bananch’s contraction mapping principle and Schaefer’s fixed-point theorem, some existence results for the solutions are obtained. Finally, examples are presented to illustrate our main results. MSC:39A13, 34B18, 34A08.

【 授权许可】

CC BY