| 抽象空间缓增分数阶微分方程的吸引性 |
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| 引用本文： | 张思逸. 抽象空间缓增分数阶微分方程的吸引性[J]. 高校应用数学学报(A辑), 2021, 36(1): 83-88 |
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| 作者姓名： | 张思逸 |
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| 作者单位： | 湖南幼儿师范高等专科学校数理学院,湖南常德415000 |
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| 摘 要： | 研究了抽象空间中缓增分数阶微分方程解的吸引性.建立了Cauchy问题存在全局吸引解的充分条件.揭示了缓增分数阶导数求解分数微分方程解的特征.
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| 关 键 词： | 分数微分方程 吸引性 缓增分数阶导数 |
Attractivity for tempered fractional differential equations on abstract space |
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| ZHANG Si-yi. Attractivity for tempered fractional differential equations on abstract space[J]. Applied Mathematics A Journal of Chinese Universities, 2021, 36(1): 83-88 |
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| Authors: | ZHANG Si-yi |
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| Affiliation: | (Hunan College for Preschool Education,Faculty of mathematics and Physics,Changde 415000,China) |
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| Abstract: | In this paper,the attractiveness of the solution of the tempered fractional differential equation in an abstract space was obtained.A sufficient condition for the existence of the global attractive solutions for a Cauchy problem was also established.The result reveals the characteristics of the solution of differential equation involving with the tempered fractional derivative. |
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| Keywords: | fractional differential equation attractiveness tempered fractional derivative |
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