On periodic solutions to first order linear fuzzy differential equations under differential inclusions' approach

In this work, we study some properties of the solutions to first order linear fuzzy differential equations under differential inclusions' approach. We show that the differential inclusions' approach generally adapts better to some properties of the solutions to ordinary differential equations. Sufficient conditions for the solutions under this approach to be periodic and bounded are presented. We also give some examples to show the applicability of these results.