Fuzzy Homotopy Analysis Method For Solving Fuzzy Autonomous Differential Equation

Abstract

In this paper, we have presented the theory and applications of the fuzzy homotopy analysis method to find the fuzzy semi-analytical solutions of the second order fuzzy autonomous differential equation. This method allows for the solution of the Fuzzy initial value problems to be calculated in the form of an infinite fuzzy series in which the fuzzy components can be easily calculated. Some numerical results are given to illustrate the used method. The obtained numerical results are compared with the fuzzy exact-analytical solutions.