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
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
