Normalized expression for solutions to linear fuzzy differential equations under combination of differences

Abstract

We give a normalized expression for the solutions to the initial value problem for some linear fuzzyinterval differential equations by using a general notation which allows the combination of two types of differences. By switching between these types of differences, we derive several expressions for solutions corresponding to strongly generalized differentiability, providing a general formulation for these solutions to linear problems.

On linear fuzzy differential equations by differential inclusions' approach

“…The conditions that provide the existence of the solutions given in Theorems 4.1, 4.2 are reduced to the existence of the corresponding H-differences. For more details, see [8,22].…”

Interval Type-2 Fuzzy Logic Washing Machine

“…[26] proposed an algorithm of the approximate mechanism for solving FDDE via Adomian decomposition method. [27] inclined an established statement to solve initial value problems for linear fuzzy interval Des using a generic representation under the consolidation of differences. [28] imported and examined two set of system of fuzzy differential formations.…”