| 一类新的有序分数阶q-差分系统边值问题解的存在性 |
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| 引用本文： | 范成涛,林爽,葛琦.一类新的有序分数阶q-差分系统边值问题解的存在性[J].吉林大学学报(理学版),2018,56(2):219-226. |
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| 作者姓名： | 范成涛 林爽 葛琦 |
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| 作者单位： | 延边大学 理学院, 吉林 延吉 133002 |
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| 摘 要： | 利用Perov’s不动点定理和Schauder不动点定理,考虑一类新的有序分数阶q-差分系统解的存在性,利用q-指数给出该系统解的表达式,得到了该系统解的存在性和唯一性.
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| 关 键 词： | 不动点定理 解的存在性 有序分数阶q 差分系统 |
| 收稿时间： | 2017-04-24 |
Existence of Solutions for Boundary Value Problems witha New Class of Sequential Fractional q Differences System |
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| FAN Chengtao,LIN Shuang,GE Qi.Existence of Solutions for Boundary Value Problems witha New Class of Sequential Fractional q Differences System[J].Journal of Jilin University: Sci Ed,2018,56(2):219-226. |
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| Authors: | FAN Chengtao LIN Shuang GE Qi |
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| Institution: | College of Science, Yanbian University, Yanji 133002, Jilin Province, China |
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| Abstract: | By using the Perov’s fixed point theorem and Schauder fixed point theorem, we considered the existence of solutions for a new class of the sequential fractional q differences system. We gave a representation for the solution to this equation by using q exponential, and obtained the existence and uniqueness of solutions for the sequential fractional q differences system. |
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| Keywords: | existence of solution sequential fractional q difference system fixed point theorem |
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