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

Authors : Sushma BASİL, Santhi ANTONY

Pages : 473-485

Doi:10.31197/atnaa.1232379

View : 31 | Download : 40

Publication Date : 2023-07-23

Article Type : Research Paper

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