---
tag: 3NXAM305ZG
kind: concept
name: Fuzzy differential equation
sources:
  - wikipedia: en:72010909@r1329671206
    locator: Fuzzy differential equation
    note: adopted
    mention: wikipedia://en/72010909
    sections: [Summary]
same_as:
  wikidata: Q115516561
  wikipedia: Fuzzy differential equation
inventory: [308J8ZPKG8]
---

## Summary

**Fuzzy differential equation** are general concept of [[ordinary differential equation|0NT64JV96A]] in mathematics defined as differential inclusion for non-uniform upper hemicontinuity [[convex set|02AS45T3H9]] with compactness in fuzzy set.

$$dx(t)/dt= F(t,x(t),\alpha),$$

for all $\alpha \in [0,1]$.