安庆师范学院学报(自然科学版)Issue(3):13-16,4.
Gronwall - Bellman 积分不等式在分数阶微分方程中的应用
Applications of Gronwall-Bellman Integral inequality in Fractional-Order Differential Equations
摘要
Abstract
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.关键词
Gronwall - Bellman 积分不等式/分数阶微分方程/初值问题/稳定性Key words
Gronwall-Bellman integral inequality/fractional-order differential equations/initial value problems/stability分类
数理科学引用本文复制引用
李琳,杨海洋,田垒..Gronwall - Bellman 积分不等式在分数阶微分方程中的应用[J].安庆师范学院学报(自然科学版),2014,(3):13-16,4.基金项目
安徽省高等学校省级自然科学研究基金项目(KJ2011A197,KJ2013Z186)资助。 (KJ2011A197,KJ2013Z186)