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

Year 2023, , 473 - 485, 23.07.2023

Sushma Basil , Santhi Antony

https://doi.org/10.31197/atnaa.1232379

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.

Keywords

Simulation function, Fuzzy mappings, Fuzzy coupled fixed point, Fuzzy differential equation

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