# Convergence, Consistency and Stability in Fuzzy Differential Equations

Document Type : Research Paper

Authors

1 Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran

2 Department of Mathematics, Islamic Azad University - South Tehran Branch, Tehran, Iran

3 Department of Mathematics, Institute for Advanced Studies in Basic Sciences(IASBS), P.O. BOX 45195-1159, Zanjan, Iran

Abstract

In this paper, we consider First-order fuzzy differential equations with initial value conditions. The convergence, consistency and stability of difference method for approximating the solution of fuzzy differential equations involving generalized H-differentiability, are studied. Then the local truncation error is defined and sufficient conditions for convergence, consistency and stability of difference method are provided and fuzzy stiff differential equation and one example are presented to illustrate the accuracy and capability of our proposed concepts.

Keywords

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