Hyers-Ulam Stability and Existence Criteria for the Solution of Second-Order Fuzzy Differential Equations. (28th May 2021)

• Record Type: Journal Article
• Authors: Jamal, Noor; Sarwar, Muhammad; Khashan, M. Motawi
• Other Names: Mitrovic Zoran Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2021(2021)
• Publication Date: 2021-05-28
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2021/6664619
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : In this paper, existence, uniqueness, and Hyers-Ulam stability for the solution of second-order fuzzy differential equations (FDEs) are studied. To deal a physical model, it is required to insure whether unique solution of the model exists. 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. We use natural transform to obtain the solution of the proposed FDEs. As applications of the established results, some nontrivial examples are provided to show the authenticity of the presented work.