Fuzzy natural transform method for solving fuzzy differential equations

This article establishes a new transform method to seek the solution to some fuzzy differential equations. For the first time in the literature, the fuzzy natural transform method (FNTM) is introduced to solve the integer-order differential equations and non-integer-order differential equations in an uncertain environment. To do this, some primary results of FNTM are presented for integer- and non-integer-order derivatives in the Riemann–Liouville and Caputo senses under generalized Hukuhara differentiability. The method is illustrated by providing some examples.