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Gronwall-Bellman积分不等式在分数阶微分方程中的应用 被引量：1

Applications of Gronwall-Bellman Integral inequality in Fractional-Order Differential Equations
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摘要 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。 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.
作者 李琳 杨海洋 田垒
机构地区 安庆师范学院数学与计算科学学院
出处 《安庆师范学院学报（自然科学版）》 2014年第3期13-16,共4页 Journal of Anqing Teachers College(Natural Science Edition)
基金 安徽省高等学校省级自然科学研究基金项目(KJ2011A197 KJ2013Z186)资助
关键词 Gronwall—Bellman积分不等式 分数阶微分方程 初值问题 稳定性 Gronwall-BeUman integral inequality, fractional-order differential equations, initial value problems, stability
分类号 O175.1 [理学—基础数学]
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参考文献12

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安庆师范学院学报（自然科学版）
2014年 第3期

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