Two-Dimensional Müntz–Legendre Wavelet Method for Fuzzy Hybrid Differential Equations

Abstract

In this paper, the fuzzy approximate solutions for the fuzzy Hybrid differential equation emphasizing the type of generalized Hukuhara differentiability of the solutions are obtained by using the two-dimensional Müntz–Legendre wavelet method. To do this, the fuzzy Hybrid differential equation is transformed into a system of linear algebraic equations in a matrix form. Thus, by solving this system, the unknown coefficients are obtained. The convergence of the proposed method is established in detail. Numerical results reveal that the two-dimensional Müntz–Legendre wavelet is very effective and convenient for solving the fuzzy Hybrid differential equation.