Stability in credibility for fuzzy differential equation.

Stability plays a major role in differential equation which means sensitivity of the state of a system to small changes in the initial state. Thus, it is critically important to make stability analysis for fuzzy differential equation. This paper mainly proposed a concept of stability in credibility for fuzzy differential equation driven by Liu process. Based on this concept, some theorems for fuzzy differential equation driven by Liu process being stability in credibility were proved. Furthermore, we extended the theorems to the case of n-dimensional fuzzy differential equation driven by Liu process.