| 分数阶中立型时滞微分方程解的存在性及指数估计 |
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| 引用本文： | 张志信,张玉峰,蒋威. 分数阶中立型时滞微分方程解的存在性及指数估计[J]. 安徽大学学报(自然科学版), 2017, 41(4). DOI: 10.3969/j.issn.1000-2162.2017.04.006 |
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| 作者姓名： | 张志信 张玉峰 蒋威 |
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| 作者单位： | 安徽大学数学科学学院,安徽合肥,230601;安徽大学数学科学学院,安徽合肥,230601;安徽大学数学科学学院,安徽合肥,230601 |
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| 基金项目： | 国家自然科学基金资助项目,高等学校博士点专项科研基金资助项目,安徽省自然科学基金资助项目,安徽大学博士科研启动经费资助项目 |
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| 摘 要： | 近年来,随着分数阶微分方程在众多领域的广泛应用,其理论研究也引起了国内外学者的关注.论文研究分数阶中立型时滞微分方程在解存在的前提下其解的指数估计.首先,由分步法讨论分数阶中立型时滞微分方程的解的存在唯一的条件;然后,在解存在的前提下,利用Gronwall不等式,给出分数阶中立型时滞微分方程解的指数估计.
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| 关 键 词： | 分数阶 时滞 中立型微分方程 解的存在性 指数估计 |
The existence and exponential estimate for the solution to the fractional neutral differential equation with time delay |
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| ZHANG Zhixin,ZHANG Yufeng,JIANG Wei. The existence and exponential estimate for the solution to the fractional neutral differential equation with time delay[J]. Journal of Anhui University(Natural Sciences), 2017, 41(4). DOI: 10.3969/j.issn.1000-2162.2017.04.006 |
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| Authors: | ZHANG Zhixin ZHANG Yufeng JIANG Wei |
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| Abstract: | In recent years,fractional differential equation with time delay has played an important role in many fields and the theory of fractional differential equation has drawn much attention of scholars.The exponential estimate of solution to the fractional neutral differential equation was derived under suitable conditions.First,using step by step method,the existence and uniqueness of the solution to fractional neutral differential equation with time delay was discussed.Then,in the condition of the existence of the solution,the exponential estimation was given by Gronwall inequality. |
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| Keywords: | fractional order time delay neutral differential equation the existence of the solution exponential estimation |
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