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Article type: Research Article
Authors: Shen, Yonghonga; b; * | Chen, Weic | Wang, Jingd
Affiliations: [a] School of Mathematics and Statistics, Tianshui Normal University, Tianshui, P.R. China | [b] School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, P.R. China | [c] School of Information, Capital University of Economics and Business, Beijing, P.R. China | [d] College of Science, Rocket Force University of Engineering, Xi’an, P.R. China
Correspondence: [*] Corresponding author. Yonghong Shen. Tel.: +86 18693820708; E-mail: [email protected]
Abstract: In the present paper, the notion of fuzzy multiplication-convolution is introduced. Meantime, an important property is derived, which is similar to the Laplace transform of an ordinary convolution. By using the fuzzy Laplace transform and the preceding property, this paper deals with the Ulam stability of three variants of first order linear fuzzy differential equations with constant coefficients.
Keywords: Fuzzy Laplace transform, fuzzy multiplication-convolution, Ulam stability, linear fuzzy differential equation, generalized differentiability
DOI: 10.3233/JIFS-152567
Journal: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 1, pp. 671-680, 2017
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