Application of fuzzy generalized power series for the fuzzy linear inhomogeneous differential equation

In this paper, fuzzy linear Inhomogeneous differential equation under generalized Hukuhara differentiability with real coefficients is solved. For this purpose, we used of fuzzy generalized power series to solved this problem. Since in the discussion of fuzzy generalized power series, the concept of the fuzzy absolute convergence is one of the most important and fundamental concepts. In addition, an ordinary points, singular points and irregular singular points of the fuzzy second-order differential equation with a real coefficients are introduced. To complete the discussion, it has been shown that uniqueness of the solution of the fuzzy linear inhomogeneous second-order differential equations with real coefficients in the form of a fuzzy generalized power series by attention to the type of generalized differentiability is shown.

Keywords:

Fuzzy Analytic Function , Fuzzy Generalized Power Series , Fuzzy Absolute Convergence , Fuzzy Linear Inhomogeneous Differential Equation