Basic properties of solutions of fuzzy differential equations (Q2763899)

Here, the authors study the existence and uniqueness of solutions to fuzzy differential equations under a more general condition than Lipschitz condition. They also consider the continuity of solutions with respect to the initial values under the same general setup. Finally, the authors study the global existence of solutions assuming local existence. The main ingredient in this paper is the development of comparison principles for the solutions to fuzzy differential equations and to scalar differential equations.