On Boundary Value Problems in Normed Fuzzy Spaces

Ali Farajzadeh, Azadeh Hosseinpour, Wiyada Kumam

Abstract

In this paper, we study fuzzy differential equations (FDE) in the setting of normed spaces by introducing new  definitions and extending the H-differentiability to normed spaces. This concept stands on the expansion of the class of differentiable fuzzy mappings and, for this, the lateral Hukuhara derivatives should be propounded. We will see that both derivatives are different and they lead us to different solutions from a FDE. Some illustrative examples are also given and some comparisons with other methods for solving FDE are made.