二阶非瞬时脉冲分数中立型随机微分方程的Ulam-Hyers稳定性

IF 0.5 4区数学 Q3 MATHEMATICS

Journal of Mathematical Physics Analysis Geometry Pub Date : 2023-04-01 DOI:10.1063/5.0088040

D. K., B. P.

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引用次数: 1

摘要

本文建立了二阶非瞬时脉冲分数中立型随机微分方程(NIIFNSDEs)在p均方意义上具有上范数的Ulam-Hyers稳定性的充分条件。利用线性算子余弦族、It[公式:见文]的公式和M[公式:见文]的不动点定理，在无限维空间中导出了NIIFNSDEs解的存在性。最后，通过算例对所得理论结果进行了说明。

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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Ulam–Hyers stability for second-order non-instantaneous impulsive fractional neutral stochastic differential equations

In this paper, sufficient conditions are established for the Ulam–Hyers stability of second-order non-instantaneous impulsive fractional neutral stochastic differential equations (NIIFNSDEs) with supremum norm in the pth means square sense. The existence of solution of NIIFNSDEs is derived by using the cosine family of linear operator, It[Formula: see text]’s formula, and M[Formula: see text]nch fixed point theorem in infinite-dimensional space. Finally, an example is demonstrated to illustrate the obtained theoretical results.

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来源期刊

Journal of Mathematical Physics Analysis Geometry PHYSICS, MATHEMATICAL-

CiteScore

0.70

自引率

20.00%

发文量

审稿时长

>12 weeks

期刊介绍： Journal of Mathematical Physics, Analysis, Geometry (JMPAG) publishes original papers and reviews on the main subjects: mathematical problems of modern physics; complex analysis and its applications; asymptotic problems of differential equations; spectral theory including inverse problems and their applications; geometry in large and differential geometry; functional analysis, theory of representations, and operator algebras including ergodic theory. The Journal aims at a broad readership of actively involved in scientific research and/or teaching at all levels scientists.