期刊论文详细信息
Advances in Difference Equations
Boundary value problems for fractional q -difference equations with nonlocal conditions
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
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【 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   

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