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C*-Algebra valued fuzzy normed spaces with application of Hyers-Ulam stability of a random integral equation
- Title
- C*-Algebra valued fuzzy normed spaces with application of Hyers-Ulam stability of a random integral equation
- Author
- 박춘길
- Keywords
- Nonlinear random integral equation; Stochastic wave equation; Iterative method; Random operator; Fuzzy normed space; C-algebra valued fuzzy set; 54E50; 39B52; 39B62; 46L05; 47H10; 39B82
- Issue Date
- 2020-07
- Publisher
- SPRINGEROPEN
- Citation
- ADVANCES IN DIFFERENCE EQUATIONS, v. 2020, no. 1, page. 1-9
- Abstract
- In this paper, we consider C-algebra valued fuzzy normed spaces. We study the random integral equation (˂mml:mfrac˃12c˂/mml:mfrac˃)integral x-cdx+cd˂/mml:msubsup˃u(gamma,tau,˂mml:msub˃d0)˂mml:mspace width="0.2em"˃˂/mml:mspace˃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.
- URI
- https://advancesindifferenceequations.springeropen.com/articles/10.1186/s13662-020-02780-0https://repository.hanyang.ac.kr/handle/20.500.11754/169488
- ISSN
- 1687-1847
- Appears in Collections:
- COLLEGE OF NATURAL SCIENCES[S](자연과학대학) > MATHEMATICS(수학과) > Articles
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