Hyers-Ulam Stability and Existence Criteria for the Solution of Second-Order Fuzzy Differential Equations

Autor: Noor Jamal, Muhammad Sarwar, M. Motawi Khashan
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Zdroj: Journal of Function Spaces, Vol 2021 (2021)
Druh dokumentu: article
ISSN: 2314-8896
2314-8888
DOI: 10.1155/2021/6664619
Popis: 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.
Databáze: Directory of Open Access Journals