Abstract

The homotopy analysis method (HAM) is proposed here to obtain an analytical and numerical solution of nonlinear fuzzy differential equations. The homotopy analysis method contains the auxiliary parameter, which provides us with a simple way to adjust and control the solution series’s convergence region. The concept of -meshes and contour plots is first introduced in this paper: the generations of traditional h-curves. Finally, the Convergency of this method for the FDE has been considered, and some examples are given to illustrate the efficiency of HAM.

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