\(C^{*}\) -Algebra valued fuzzy normed spaces with application of Hyers–Ulam stability of a random integral equation

Advances in Difference Equations

article

Chaharpashlou, R.¹  O’Regan, Donal²  Park, Choonkil³  Saadati, Reza¹ 

[1] School of Mathematics, Iran University of Science and Technology;School of Mathematics, National University of Ireland;Research Institute for Natural Sciences, Hanyang University

关键词: Nonlinear random integral equation;    Stochastic wave equation;    Iterative method;    Random operator;    Fuzzy normed space;    \(C^{*}\) -algebra valued fuzzy set;   

DOI  :  10.1186/s13662-020-02780-0

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

In this paper, we consider$C^{*}$ -algebra valued fuzzy normed spaces. We study the random integral equation$(\frac{1}{2c})\int _{x-cd}^{x+cd}u(\gamma ,\tau ,d_{0})\,d\tau =u( \gamma ,x,d)$ 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.

【 授权许可】

CC BY