A New Method for Solving Fuzzy Bernoulli Differential Equation

In this paper, we introduce a new method for solving fuzzy Bernoulli differential equation (FBDE) under generalized differentiability. At the beginning, by stating the theorems, we define n th power of LR fuzzy function and the derivative of LR fuzzy function. Then, we obtain core function to determine LR fuzzy solution, through solving 1-cut FBDE, and calculate spread functions by finding the sign of real valued functions of coefficients of FBDE and finding the sign of core function. Also, numerical examples are presented to verify the effectiveness of the proposed method.