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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 被引量：9

Existence and Ulam stability of solutions for a boundary value problem of nonlinear fractional difference equation
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摘要 讨论了一类非线性分数阶差分方程解的存在性及Ulam稳定性。应用Schaefer不动点定理及不等式技巧获得了方程解的存在性结果,同时得到了方程的解具有Ulam稳定性的新判据,并举例说明了所得主要结果的有效性。 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 inequality analysis technique. Meanwhile,new criteria for Ulam stability of solutions to the nonlinear fractional difference equation are provided and examples are presented to illustrate the effectiveness of the main results.
作者 王金华 向红军 赵育林
机构地区 湘南学院数学与金融学院 中山大学数学与计算科学学院
出处 《中山大学学报（自然科学版）》 CAS CSCD 北大核心 2016年第2期1-6,13,共7页 Acta Scientiarum Naturalium Universitatis Sunyatseni
基金 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
关键词 分数阶差分方程 不动点 存在性 Ulam稳定性 fractional difference equation fixed point existence Ulam stability
分类号 O175.8 [理学—基础数学]
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参考文献14

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二级参考文献18

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共引文献18

同被引文献39

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引证文献9

二级引证文献19

中山大学学报（自然科学版）
2016年 第2期

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