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

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 bot...

Full description

Saved in:
Bibliographic Details
Published in:Journal of function spaces 2021, Vol.2021, p.1-13
Main Authors: Jamal, Noor, Sarwar, Muhammad, Khashan, M. Motawi
Format: Article
Language:English
Subjects:
Calculus
Differential equations
Fuzzy sets
Integral equations
Mathematical models
Set theory
Stability criteria
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:2314-8896
2314-8888
DOI:10.1155/2021/6664619