一类推广的离散分数阶Gronwall不等式  

A Generalized Gronwall Inequality on Discrete Fractional Calculus

作　　者：张宇槐[1] 黄洁[1] 徐璇[1] 杨瑜[1] 

机构地区：[1]浙江外国语学院科学技术学院,浙江杭州310012

出　　处：《数学的实践与认识》2014年第6期222-225,共4页Mathematics in Practice and Theory

基　　金：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)

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.Discrete inequalities, in particular the discrete analogues of the Gronwall in- equality, 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.

关 键 词：分数阶和分 GRONWALL不等式 分数阶差分 Mittag-Leffer函数 

分 类 号：O178[理学—数学]