Caputo型分数阶差分方程解对初值的连续依赖性  

Serial of caputo fractional differential equation which solution continuous depend on initial value

作　　者：何超[1] 曹玉童 王良龙[1] 

机构地区：[1]安徽大学数学科学学院,安徽合肥230601

出　　处：《安庆师范大学学报（自然科学版）》2017年第1期43-44,56,共3页Journal of Anqing Normal University(Natural Science Edition)

基　　金：国家自然科学基金(10771001);高等学校博士点基金(20113401110001);安徽省自然科学基金(1308085MA01;1508085QA01)

摘　　要：本文利用广义Gronwall不等式和离散Mittag-Leffler函数的性质,证明了一类Caputo型分数阶差分方程解对初值的依赖性。This paper is concerned with a serial of Caputo fractional differential equation.With Gronwall inequality and the properties of the discrete Mittag — Leffler function,finally we prove a serial of Caputo fractional differential equation which solution continuous depend on initial value.

关 键 词：Caputo分数阶差分 GRONWALL不等式 初值依赖性 

分 类 号：O175[理学—数学]