Series Solution of the Systemof Fuzzy Differential Equations

The homotopy analysismethod (HAM) is proposed to obtain a semianalytical solution of the system of fuzzy differential equations (SFDE). The HAM contains the auxiliary parameter h, which provides us with a simple way to adjust and control the convergence region of solution series. Concept of h - meshes and contour plots firstly are introduced in this paper which are the generations of traditional h- curves. Convergency of this method for the SFDE has been considered and some examples are given to illustrate the efficiency and power of HAM.