Title of article
A New Method for Solving Two-Dimensional Fuzzy Fredholm Integral Equations of The Second Kind
Author/Authors
Darabi, Mohsen Department of Mathematics - Islamic Azad University Hamedan Branch, Hamedan, Iran , Parandin, Nouredin Department of Mathematics - Islamic Azad University Kermanshah Branch, Kermanshah, Iran , Paripour, Mahmoud Department of Mathematics - Hamedan University of Technology, Hamedan, Iran , Seifi, Ali Department of Mathematics - Islamic Azad University Hamedan Branch, Hamedan, Iran
Pages
13
From page
105
To page
117
Abstract
In this work, we introduce a novel method for solving two-dimensional fuzzy Fredholm integral
equations of the second kind (2D-FFIE-2). We use new representation of parametric
form of fuzzy numbers and convert a two-dimensional fuzzy Fredholm integral equation to
system of two-dimensional Fredholm integral equations of the second kind in crisp case. We
can use Adomian decomposition method for finding the approximation solution of the each
equation, hence obtain an approximation for fuzzy solution of 2D-FFIE-2. We prove the convergence
of the method and finally apply the method to some examples.
Keywords
Fuzzy , Fredholm integral equation , Adomian decomposition , Parametric form
Journal title
Theory of Approximation and Applications
Serial Year
2021
Record number
2725741
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