文章基本信息

标题：C∗ $C^{*}$ -Algebra valued fuzzy normed spaces with application of Hyers–Ulam stability of a random integral equation
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作者：R. Chaharpashlou ; Donal O’Regan ; Choonkil Park 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2020
卷号：2020
期号：1
页码：1-9
DOI：10.1186/s13662-020-02780-0
出版社：Hindawi Publishing Corporation
摘要：In this paper, we consider $C^{*}$-algebra valued fuzzy normed spaces. We study the random integral equation $(\frac){2c})\int _{x-cd}^{x+cd}u(\gamma ,\tau ,d_()\,d\tau =u( \gamma ,x,d)$ which is related to the stochastic wave equation. In addition, using a $C^{*}$-algebra valued fuzzy controller function, we consider its $C^{*}$-algebra valued fuzzy Hyers–Ulam stability.
关键词：Nonlinear random integral equation; Stochastic wave equation; Iterative method; Random operator; Fuzzy normed space; C∗-algebra valued fuzzy set