Hyers-Ulam stability and existence criteria for the solution of second-order fuzzy differential equations
type: Item
instance of: scholarly article
title: Hyers-Ulam stability and existence criteria for the solution of second-order fuzzy differential equations
zbMATH Open document ID: 1484.34005
DOI: 10.1155/2021/6664619
author: Noor Jamal
author: Muhammad Sarwar
author: M. Motawi Khashan
published in: Journal of Function Spaces
publication date: 2021-08-25T00:00:00Z
review text: In this paper, existence, uniqueness, and Hyers-Ulam stability for the solution of second-order fuzzy differential equations (FDEs) are studied. For this purpose, the corresponding second-order FDEs are reduced to equivalent systems of fuzzy integral equations. Using the concept of Hukuhara generalized differentiability, existence, uniqueness, and Hyers-Ulam stability of the equivalent system of integral equations are discussed. The natural transform has the speciality to converge to both Laplace and Sumudu transforms only by changing the variables. Therefore, this method plays the rule of checker on the Laplace and Sumudu transforms. In this paper the natural transform is used to obtain the solution of the proposed FDEs. As applications of the established results, some nontrivial examples are provided.
Mathematics Subject Classification ID: 34A07
Mathematics Subject Classification ID: 34D10
Mathematics Subject Classification ID: 34C20
Mathematics Subject Classification ID: 44A05
zbMATH DE Number: 7385306
zbMATH Keywords: second-order fuzzy differential equations
zbMATH Keywords: existence
zbMATH Keywords: uniqueness
zbMATH Keywords: Hyers-Ulam stability
zbMATH Keywords: natural transform
Wikidata QID: Q115243639
reviewed by: Natalia V. Skripnik
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2021/6664619
OpenAlex ID: W3169933821
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description: scientific article; zbMATH DE number 7385306