非局部条件下Hilfer分数阶随机演化包含的近似可控性

IF 0.8 4区数学 Q3 MATHEMATICS, APPLIED

Stochastic Analysis and Applications Pub Date : 2022-05-12 DOI:10.1080/07362994.2022.2071738

Xuemei Li, Xinge Liu

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引用次数: 2

摘要

摘要本文研究了具有非局部条件的Hilfer分数阶随机演化包含的近似可控性。利用分数阶微积分、半群理论、随机分析和多值映射的不动点定理，导出了Hilfer分数阶随机系统在加权连续函数空间中温和解存在的一个新的充分条件。在此基础上，建立了具有非局部条件的Hilfer分数阶随机演化包涵的近似可控性的一个新的充分条件。最后，给出了一个算例来说明主要结果。

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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Approximate controllability for Hilfer fractional stochastic evolution inclusion with nonlocal conditions

Abstract In this paper, the approximate controllability of Hilfer fractional stochastic evolution inclusion with nonlocal conditions is investigated. By using fractional calculus, semigroups theory, stochastic analysis and the fixed point theorem for multi-valued maps, a new sufficient condition for the existence of mild solution of the Hilfer fractional stochastic system in the space of weighted continuous functions is derived. Furthermore, a novel sufficient condition for the approximate controllability of the Hilfer fractional stochastic evolution inclusion with nonlocal conditions is established. Finally, an example is presented to illustrate the main results.

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来源期刊

Stochastic Analysis and Applications 数学-统计学与概率论

CiteScore

2.70

自引率

7.70%

发文量

审稿时长

6-12 weeks

期刊介绍： Stochastic Analysis and Applications presents the latest innovations in the field of stochastic theory and its practical applications, as well as the full range of related approaches to analyzing systems under random excitation. In addition, it is the only publication that offers the broad, detailed coverage necessary for the interfield and intrafield fertilization of new concepts and ideas, providing the scientific community with a unique and highly useful service.