Solving fuzzy differential equations by differential transformation method
An extension of the differential transformation method (DTM), which is an analyticalnumerical method for solving the fuzzy differential equation (FDE), is given. The concept of generalised H-differentiability is used. This concept is based on an enlargement of the class of differentiable fuzzy mappings; to define this, the lateral Hukuhara derivatives are considered. The proposed algorithm is illustrated by numerical examples, and some error comparisons are made with other methods for solving a FDE.
fuzzy differential equations differential transformation method fuzzy number fuzzy-valued function generalized differentiability