Solutions Exact to Fredholm Fuzzy Integral Equations with Optimal Homotopy Asymptotic Method

Volume 8, Issue 2, pp 153 - 162 http://dx.doi.org/10.22436/jmcs.08.02.06

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Authors

Hadi Kashefi - Faculty of Industrial and Mechanical Engineering, Qazvin Branch, Islamic Azad University, Qazvin, Iran. Maryam Ghorbani - Department of Mathematics, Mazandaran University, Babolsar, Iran.

Abstract

A analytic approximate technique for addressing nonlinear problems, namely the Optimal Homotopy Asymptotic Method (OHAM), is proposed. This approach does not depend upon any small/large parameters. This method provides us with a convenient way to control the convergence of approximation series and adjust convergence regions when necessary. The series solution is developed and the recurrence relations are given explicitly. The results reveal that the proposed method is effective and easy to use. This method is illustrated by solving an examples.

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Keywords

• fredholm fuzzy integral equations
• optimal homotopy asymptotic method (OHAM).

MSC

•  45B05
•  34A07
•  46S40
•  65R20

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