<?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%">SVETOSLAV ENKOV</style></author><author><style face="normal" font="default" size="100%">ATANASKA GEORGIEVA</style></author><author><style face="normal" font="default" size="100%">ALBENA PAVLOVA</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">QUADRATURE RULES AND ITERATIVE NUMERICAL METHOD FOR TWO-DIMENSIONAL NONLINEAR FREDHOLM FUZZY INTEGRAL EQUATIONS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><alt-title><style face="normal" font="default" size="100%">CAA</style></alt-title><short-title><style face="normal" font="default" size="100%">Two-Dimensional Nonlinear Fredholm Fuzzy Equations  </style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">45B05</style></keyword><keyword><style  face="normal" font="default" size="100%">47H10</style></keyword><keyword><style  face="normal" font="default" size="100%">65D32</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2017</style></year><pub-dates><date><style  face="normal" font="default" size="100%">06/2017</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/21/3/9.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">21</style></volume><pages><style face="normal" font="default" size="100%">30</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 introduce some generalized quadrature rules&amp;nbsp;to approximate two-dimensional Henstock integral of fuzzy-number-valued&amp;nbsp;functions by giving error bounds for Henstock integrable, bounded mappings&lt;br /&gt;
in terms of uniform modulus of continuity. We also consider generalizations&amp;nbsp;of classical quadrature rules, such as midpoint-type, trapezoidal and three-point-type quadrature. Moreover, we propose an iterative procedure based&amp;nbsp;on trapezoidal quadrature to solve two-dimensional nonlinear Fredholm fuzzy&amp;nbsp;integral equations. The error estimation of the proposed method is given in&amp;nbsp;terms of uniform and partial modulus of continuity. Finally , an illustrative&amp;nbsp;numerical experiment confirms the theoretical results and demonstrates the&amp;nbsp;accuracy of the method.&lt;br /&gt;
&amp;nbsp;&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">479</style></section></record></records></xml>