Open Access

  

Original research article

Solution to a System of Nonlinear Fuzzy Differential Equations with Generalized Hukuhara Derivative via Fixed Point Theorem

Author(s):

Sushma Basila, Santhi Antonyb

a Department of Mathematics, PSGR Krishnammal College for Women, Coimbatore-641 004, India.
b Department of Applied Mathematics and Computational Sciences, PSG College of Technology, Coimbatore-641 004, India.

Advances in the Theory of Nonlinear Analysis and its Applications 7(2), 473-485.
Received: January 12, 2023

  

  

  

Accepted: June 7, 2023

  

Published: June 17, 2023

Abstract

In this manuscript, we define a new class of control functions classified as ascendant functions. Consequently, we investigate a fuzzy coupled fixed point result that differs from one available in the literature, using the notion of simulation function. We present a non-trivial example to validate the result. As an inference, we use the result to analyze the existence of a solution for a nonlinear system of fuzzy initial value problems involving the generalized Hukuhara derivative.

Keywords: Simulation function, fuzzy mappings, fuzzy coupled fixed point, fuzzy differential equation.

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APA Style

Basil, S., & Antony, S. SOLUTION TO A SYSTEM OF NON-LINEAR FUZZY DIFFERENTIAL EQUATION WITH GENERALIZED HUKUHARA DERIVATIVE VIA FIXED POINT THEOREM. Advances in the Theory of Nonlinear Analysis and its Application7(2), 473-485.