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Convergency and Error Estimate of Nonlinear Fredholm Fuzzy Integral Equations of the Second Kind by Homotopy Analysis Method

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1 Author(s)
Lotfi, M. ; Islamic Azad UniversityScience & Res. Branch, Tehran, Iran

A powerful, easy-to-use analytic tool for nonlinear problems in general, namely the homotopy analysis method, is further improved and systematically described through a typical nonlinear problem. In this paper, a Nonlinear Fredholm fuzzy integral equations is solved by using the homotopy analysis method(HAM). The approximate solution of this equation is calculated in the form of a series which its components are computed easily. The convergence and error estimate of the proposed method are proved.

Published in:

Computer Engineering and Applications (ICCEA), 2010 Second International Conference on  (Volume:2 )

Date of Conference:

19-21 March 2010