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一类有序分数阶q-差分方程解的存在性 被引量：7

Existence of Solutions for a Class of Sequential Fractional q-Differences Equation
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摘要 考虑一类有序分数阶q-差分方程解的存在性和唯一性.先利用q-指数给出该方程解的表达式,再分别利用Banach压缩映像原理、Krasnoselskii不动点定理、Leray-Schauder选择定理证明该方程解的存在性和唯一性. We studied the existence and uniqueness of solutions for a class of the sequential fractional q-differences equation. Firstly, a representation for the solution to this equation was given via q-exponential. Then the existence and uniqueness of solutions were proven by means of Banach fixed point theorem, Krasnoselskii fixed point theorem and Leray-Schauder alternative theorem.
作者 葛琦 侯成敏
机构地区 延边大学理学院
出处 《吉林大学学报（理学版）》 CAS CSCD 北大核心 2015年第3期377-382,共6页 Journal of Jilin University:Science Edition
基金 国家自然科学基金(批准号:11161049) 吉林省教育厅"十二五"科学技术研究项目
关键词 有序分数阶q-差分 不动点定理 解的存在性 sequential fractional q-difference fixed point theorem existence of solutions
分类号 O175.6 [理学—基础数学]
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参考文献11

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二级参考文献10

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共引文献8

同被引文献11

引证文献7

二级引证文献5

吉林大学学报（理学版）
2015年 第3期

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