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. 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.
second-order fuzzy differential equations
scientific article; zbMATH DE number 7385306
scientific article