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.

Keywords

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

Kaynakça

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