Since the term “Fuzzy differential equations”(FDEs) emerged in the literature in 1978,
prevailing research effort has been dedicated not only to the development of the concepts …

In this article, we propose the reproducing kernel Hilbert space method to obtain the exact
and the numerical solutions of fuzzy Fredholm–Volterra integrodifferential equations. The …

In the present paper, using novel generalizations of the Hukuhara difference for fuzzy sets,
we introduce and study new generalized differentiability concepts for fuzzy valued functions …

Modeling of uncertainty differential equations is very important issue in applied sciences and
engineering, while the natural way to model such dynamical systems is to use fuzzy …

In the present paper we use a recently proposed generalization of the Hukuhara difference
for compact convex sets, to introduce and study a generalization of the Hukuhara …

In this paper, using the concept of horizontal membership functions, a new definition of fuzzy
derivative called granular derivative is proposed based on granular difference. Moreover, a …

Generalized derivative and π-derivative for set-valued functions - ScienceDirect Skip to
main contentSkip to article Elsevier logo Journals & Books Search RegisterSign in View …

Differential equations have been widely explored in many fields, from applications in
physics, engineering, economics, and biology to theoretical mathematical developments. Its …

In this paper, we study the class of fuzzy differential equations where the dynamics is given
by a continuous fuzzy mapping which is obtained via Zadeh's extension principle. We get a …

The current research attempts to offer a novel method for solving fuzzy differential equations
with initial conditions based on the use of feed-forward neural networks. First, the fuzzy …