SOLUTION TO A SYSTEM OF NON-LINEAR FUZZY DIFFERENTIAL EQUATION WITH GENERALIZED HUKUHARA DERIVATIVE VIA FIXED POINT THEOREM

Abstract

In this manuscript, we define a new class of control
 functions classified as ascendant functions. Consequently, we furnish
 a fuzzy coupled fixed point result, that is different from one available
 in the literature, using the notion of simulation function; in follow, we
 validate the result through a non-trivial example. As an inference, we
 use the result to analyze the existence of a solution for a non-linear
 system of fuzzy initial value problem involving generalized Hukuhara
 derivative.