Series Solution of the System of Fuzzy Differential Equations

Abstract EN

The homotopy analysis method (HAM) is proposed to obtain a semianalytical solution of the system of fuzzy differential equations (SFDE).

The HAM contains the auxiliary parameter ħ, which provides us with a simple way to adjust and control the convergence region of solution series.

Concept of ħ-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.