Article ID Journal Published Year Pages File Type
389162 Fuzzy Sets and Systems 2016 15 Pages PDF
Abstract

In this study, based on a new generalized differentiability and parametric representation for fuzzy valued functions, we discuss the existence of solutions for fuzzy partial differential equations (FPDEs) and their ill-posedness. A regularization method is required to recover the numerical stability. A stable approximation of the exact solution is obtained as an example of a Cauchy problem for the fuzzy Laplace equation.

Related Topics
Physical Sciences and Engineering Computer Science Artificial Intelligence
Authors
, ,