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一类离散分数阶边值问题解的存在性

Existence of Solutions for a Class of Discrete FractionalOrder Boundary Value Problem
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摘要 利用Banach压缩映射原理与Schaefer不动点定理,结合不等式技巧及格林函数的性质,讨论了一类离散分数阶差分方程解的存在性与唯一性,获得了一个充分性结果.最后,举例证明了所得结果的正确性. The existence and uniqueness of solutions of a class of discrete fractional difference equations are discussed by using the principle of Banach’s compression mapping and Schaefer’s fixed point theorem,and combing inequality technique with properties of Green's function.Finally,some examples are given to prove the correctness of the results obtained in this paper.
作者 赵东 张可 舒紫鹤 王金华 Zhao Dong;Zhang Ke;Shu Zihe;Wang Jinhua(School of Mathematics and Finance,Xiangnan University,Chenzhou 423000,China)
机构地区 湘南学院数学与金融学院
出处 《湘南学院学报》 2020年第2期108-113,共6页 Journal of Xiangnan University
基金 国家自然科学基金项目(11471278) 湖南省自然科学基金项目(2016JJ6139) 湖南省一流本科专业建设点项目(2019年度)。
关键词 离散分数阶方程 边值问题 不动点定理 存在唯一性 discrete fractional order equation boundary value problem fixed point theorem existence uniqueness
分类号 O175.8 [理学—基础数学]
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湘南学院学报
2020年 第2期

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