Abstract
This paper provides some existence results about first-order fuzzy differential equations with two-point boundary value conditions. We firstly study a class of linear fuzzy differential equation, the results are applied to discuss some nonlinear fuzzy boundary value problems. By using contraction mapping principle in complete metric space, we obtain some existence results about first-order nonlinear fuzzy differential equation with boundary value condition x (0) = αx (T), where α ∈ R.
| Original language | English |
|---|---|
| Pages (from-to) | 3335-3347 |
| Number of pages | 13 |
| Journal | Journal of Intelligent and Fuzzy Systems |
| Volume | 30 |
| Issue number | 6 |
| DOIs | |
| Publication status | Published - 30 Apr 2016 |
Keywords
- Nonlinear fuzzy differential equations
- contracting mapping principle
- two-point boundary value problem