TY - JOUR
ID - 672757
TI - A new method for solving two-dimensional fuzzy Fredholm integral equations of the second kind
JO - Theory of Approximation and Applications
JA - TAA
LA - en
SN - 2538-2217
AU - Darabi, Mohsen
AU - Parandin, Nouredin
AU - Paripour, Mahmoud
AU - Seifi, ali
AD - Department of Mathematics, Islamic Azad University, Hamedan Branch, Hamedan, Iran
AD - Faculty of Science, Islamic Azad University, Kermanshah, Iran
AD - Department of Mathematics, Hamedan University of Technology, Hamedan, Iran
AD - Department of Mathematics, Islamic Azad University, Kermanshah Branch, Kermanshah, Iran
Y1 - 2021
PY - 2021
VL - 15
IS - 2
SP - 1
EP - 12
KW - Two-dimensional fuzzy Fredholm integral equation of the second kind
KW - Adomian decomposition
KW - Parametric form of fuzzy integral equation
DO -
N2 - 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 nding 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 nally apply the method to some examples
UR - http://msj.iau-arak.ac.ir/article_672757.html
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ER -