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.
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.
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 Application, 7(2), 473-485.