安庆师范学院学报(自然科学版)
安慶師範學院學報(自然科學版)
안경사범학원학보(자연과학판)
JOURNAL OF ANQING TEACHERS COLLEGE(NATURAL SCIENCE)
2014年
3期
13-16
,共4页
李琳%杨海洋%田垒
李琳%楊海洋%田壘
리림%양해양%전루
Gronwall - Bellman 积分不等式%分数阶微分方程%初值问题%稳定性
Gronwall - Bellman 積分不等式%分數階微分方程%初值問題%穩定性
Gronwall - Bellman 적분불등식%분수계미분방정%초치문제%은정성
Gronwall-Bellman integral inequality%fractional-order differential equations%initial value problems%stability
本文主要介绍了 Gronwall - Bellman 积分不等式及其推广形式在分数阶微分方程中的应用。利用 Gronwall- Bellman 积分不等式及其推广形式证明了分数阶微分方程解的唯一性,获得了一类分数阶时滞微分方程有限时间稳定的充分条件。
本文主要介紹瞭 Gronwall - Bellman 積分不等式及其推廣形式在分數階微分方程中的應用。利用 Gronwall- Bellman 積分不等式及其推廣形式證明瞭分數階微分方程解的唯一性,穫得瞭一類分數階時滯微分方程有限時間穩定的充分條件。
본문주요개소료 Gronwall - Bellman 적분불등식급기추엄형식재분수계미분방정중적응용。이용 Gronwall- Bellman 적분불등식급기추엄형식증명료분수계미분방정해적유일성,획득료일류분수계시체미분방정유한시간은정적충분조건。
The applications of the Gronwall-Bellman integral inequality and its extended form in the fractional-order differential equation are mainly introduced in this paper. Taking advantage of Gronwall-Bellman integral inequality and its extended form, we prove the uniqueness of the fractional-order differential equations and obtain the sufficient conditions of finite-time stability for a class of fractional-order differential equation with delay.