中立型分数阶延迟演化方程s -渐近周期α-温和解的存在唯一性

IF 1 4区数学

Applied Mathematics-A Journal of Chinese Universities Series B Pub Date : 2022-06-16 DOI:10.1007/s11766-022-4393-x

Mei Wei, Qiang Li

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引用次数: 6

摘要

本文研究了分数幂空间中的一类抽象中立型分数时滞演化方程。借助于解析半群理论和一些不动点定理，我们建立了S-渐近周期α-温和解的存在性和唯一性。线性部分生成了一个紧致且指数稳定的解析半群，并且非线性部分满足关于线性部分的分式幂范数的一些条件，这大大改进和推广了现有文献的相关结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Existence and uniqueness of S-asymptotically periodic α-mild solutions for neutral fractional delayed evolution equation

In this paper, we investigate a class of abstract neutral fractional delayed evolution equation in the fractional power space. With the aid of the analytic semigroup theories and some fixed point theorems, we establish the existence and uniqueness of the S-asymptotically periodic α-mild solutions. The linear part generates a compact and exponentially stable analytic semigroup and the nonlinear parts satisfy some conditions with respect to the fractional power norm of the linear part, which greatly improve and generalize the relevant results of existing literatures.

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来源期刊

Applied Mathematics-A Journal of Chinese Universities Series B MATHEMATICS, APPLIED-

自引率

10.00%

发文量

期刊介绍： Applied Mathematics promotes the integration of mathematics with other scientific disciplines, expanding its fields of study and promoting the development of relevant interdisciplinary subjects. The journal mainly publishes original research papers that apply mathematical concepts, theories and methods to other subjects such as physics, chemistry, biology, information science, energy, environmental science, economics, and finance. In addition, it also reports the latest developments and trends in which mathematics interacts with other disciplines. Readers include professors and students, professionals in applied mathematics, and engineers at research institutes and in industry. Applied Mathematics - A Journal of Chinese Universities has been an English-language quarterly since 1993. The English edition, abbreviated as Series B, has different contents than this Chinese edition, Series A.