Solution of Fuzzy Riccati Differential Equation using Fuzzy Differential Transformation Method

This paper presents an analytical approach for solving the fuzzy Riccati differential equation using the fuzzy differential transformation method (FDTM) within the framework of generalised Hukuhara differentiability. By employing an extended definition of the fuzzy derivative, the method accommodates a wider class of differentiable fuzzy functions and facilitates the formulation of fuzzy initial value problems. The FDTM constructs the solution as a finite Taylor series through a recursive procedure, avoiding the need for symbolic differentiation and reducing computational complexity. This approach offers a mathematically rigorous and efficient framework for fuzzy differential equations, ensuring the continuity and consistency of the solution in the fuzzy context. The proposed method demonstrates the strength of FDTM in addressing uncertainty in dynamical systems and contributes to the theoretical advancement of fuzzy calculus and fuzzy system modelling.