Analysis of Solutions of Fuzzy Differential Equations under the Generalized Derivative

This work investigates the existence of non-gH\(\ast\)-solutions of fuzzy differential equations under g-derivative. We begin by establishing a theorem that extend the calculus fundamental theorem to the fuzzy context of g-differentiability. After some particular examples that help understand the possible cases for such differential equations, some results are settled giving the necessary conditions for each one of the observed behaviors and more.