<?xml version="1.0" encoding="UTF-8"?><xml><records><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">ATANASKA GEORGIEVA</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">SOLVING TWO-DIMENSIONAL NONLINEAR VOLTERRA-FREDHOLM FUZZY INTEGRAL EQUATIONS BY USING ADOMIAN DECOMPOSITION METHOD</style></title><secondary-title><style face="normal" font="default" size="100%">Dynamic Systems and Applications</style></secondary-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">45B05</style></keyword><keyword><style  face="normal" font="default" size="100%">45G10</style></keyword><keyword><style  face="normal" font="default" size="100%">65R20</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2018</style></year><pub-dates><date><style  face="normal" font="default" size="100%">11/2018</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://acadsol.eu/dsa/articles/27/4/9.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">27</style></volume><pages><style face="normal" font="default" size="100%">18</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;In this paper, we propose Adomian decomposition method (ADM)&amp;nbsp;to approximate the solution of two-dimensional nonlinear Volterra-Fredholm fuzzy&amp;nbsp;integral equation (2D-NVFFIE). We convert this integral equation to a nonlinear&amp;nbsp;system of Volterra-Fredholm integral equations in crisp case. The aim of this paper&amp;nbsp;is to find an approximate solution of this system using ADM. Hence, we obtain an&amp;nbsp;approximation for the fuzzy solution of the nonlinear Volterra-Fredholm fuzzy integral&amp;nbsp;equation. A numerical example is given to demonstrate the validity and applicability&amp;nbsp;of the proposed technique.&lt;/p&gt;
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