中山大学学报（自然科学版）2016，Vol.55Issue(2)：1-6,13,7.DOI:10.13471/j.cnki.acta.snus.2016.02.001
一类非线性分数阶差分方程边值问题解的存在性及 Ulam 稳定性
Existence and Ulam stability of solutions for a boundary value problem of nonlinear fractional difference equation
摘要
Abstract
The existence and Ulam stability of solutions of a discrete nonlinear fractional boundary value problem are studied.The existence results are established based on Schaefer fixed point theorem and ine-quality analysis technique.Meanwhile,new criteria for Ulam stability of solutions to the nonlinear frac-tional difference equation are provided and examples are presented to illustrate the effectiveness of the main results.关键词
分数阶差分方程/不动点/存在性/Ulam 稳定性Key words
fractional difference equation/fixed point/existence/Ulam stability分类
数学引用本文复制引用
王金华,向红军,赵育林..一类非线性分数阶差分方程边值问题解的存在性及 Ulam 稳定性[J].中山大学学报（自然科学版）,2016,55(2):1-6,13,7.基金项目
国家自然科学基金资助项目（11471278）；湖南省自然科学基金资助项目（14JJ2133）；湖南省重点建设学科资助项目 （）
