<?xml version="1.0" encoding="UTF-8"?>
<article article-type="Research Article">
  <front>
    <journal-meta>
      <journal-id journal-id-type="publisher">journal-of-interdisciplinary-mathematics</journal-id>
      <journal-title-group>
        <journal-title>Journal of Interdisciplinary Mathematics</journal-title>
      </journal-title-group>
      <issn publication-format="electronic">2169-012X</issn>
      <issn publication-format="print">0972-0502</issn>
      <publisher>
        <publisher-name>Taru Publications</publisher-name>
      </publisher>
    </journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.47974/JIM-2538</article-id>
      <title-group>
        <article-title>Solving the liquid tank system by generalization FAT</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes">
          <name>
            <surname>Abbas</surname>
            <given-names>Azhar Ali</given-names>
          </name>
          <aff>Department of Information Technology, College of Computer Science &amp; Information Technology, University of Kerbala, Karbala, 56001, Iraq</aff>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Jabbar</surname>
            <given-names>Masar F.</given-names>
          </name>
          <aff>Department of Mathematics, College of Education for Pure Sciences, Wasit University, Wasit, 52001, Iraq</aff>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Wannas</surname>
            <given-names>Mohammed A.</given-names>
          </name>
          <aff>Department of Mathematics, College of Education for Pure Sciences, Wasit University, Wasit, 52001, Iraq</aff>
        </contrib>
      </contrib-group>
      <volume>29</volume>
      <issue>5-B</issue>
      <fpage>1497</fpage>
      <lpage>1502</lpage>
      <pub-date date-type="pub">
        <day>27</day>
        <month>06</month>
        <year>2026</year>
      </pub-date>
      <abstract>
        <p>In this work, we presented a generalization of FAT and proved some of the properties of (FAT). Eng. We also derive the FAT of fuzzy derivatives up to the third order and further generalize the said formula for the nth order fuzzy derivative by using the strongly generalized H-differentiability concept. The obtained formulas are then employed to solve the FIVP of a first-order liquid tank system.</p>
      </abstract>
      <kwd-group>
        <kwd>A-transform</kwd>
        <kwd>FAT</kwd>
        <kwd>Generalization of FAT</kwd>
        <kwd>Liquid tank system</kwd>
      </kwd-group>
      <custom-meta-group>
        <custom-meta>
          <meta-name>access</meta-name>
          <meta-value>open</meta-value>
        </custom-meta>
        <custom-meta>
          <meta-name>retracted</meta-name>
          <meta-value>no</meta-value>
        </custom-meta>
      </custom-meta-group>
    </article-meta>
  </front>
</article>
