| 一类推广的离散分数阶Gronwall不等式 |
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| 引用本文： | 张宇槐,黄洁,徐璇,杨瑜. 一类推广的离散分数阶Gronwall不等式[J]. 数学的实践与认识, 2014, 0(6) |
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| 作者姓名： | 张宇槐 黄洁 徐璇 杨瑜 |
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| 作者单位： | 浙江外国语学院科学技术学院; |
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| 基金项目： | 浙江省大学生科技创新活动计划(新苗人才计划)(2012R418004);浙江外国语学院“高层次项目培育”专项基金(090500442012) |
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| 摘 要： | 离散不等式,特别是离散的Gronwall不等式已被广泛应用于差分方程的研究.近年来,分数阶微分方程引起很多学者的关注.因此,利用一种新的分数阶和分的定义和不等式的方法,讨论一类更一般的离散分数阶Gronwall不等式.
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| 关 键 词： | 分数阶和分 Gronwall不等式 分数阶差分 Mittag-Leffer函数 |
A Generalized Gronwall Inequality on Discrete Fractional Calculus |
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| Abstract: | Discrete inequalities,in particular the discrete analogues of the Gronwall inequality,have been extensively used in the study of difference equations.Recently,fractional differential equations have been considered by many authors.Therefore,by using a kind of new definition of fractional summation and the method of inequality,a generalized Gronwall inequality on discrete fractional calculus is investigated. |
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| Keywords: | fractional summation Gronwall inequality fractional difference Mittag-Leffer function |
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