<?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-2158</article-id>
      <title-group>
        <article-title>Solvability and stability of nonlinear differential problems with two fractional Caputo derivatives</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes">
          <name>
            <surname>Mohamed</surname>
            <given-names>Houas</given-names>
          </name>
          <aff>Laboratory Industrial Fluids, Measurements and Applications (FIMA), Khemis Miliana University, Khemis Miliana, Algeria</aff>
          <aff>Department of Mathematics, Faculty of Sciences of Matter and Computer Science, Khemis Miliana University, Khemis Miliana, Algeria</aff>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Benbachir</surname>
            <given-names>Maamar</given-names>
          </name>
          <aff>National Higher School of Mathematics, Scientific and Technology Hub of Sidi Abdellah, Algiers, Algeria</aff>
        </contrib>
      </contrib-group>
      <fpage>1</fpage>
      <lpage>17</lpage>
      <pub-date date-type="pub">
        <day>11</day>
        <month>05</month>
        <year>2026</year>
      </pub-date>
      <abstract>
        <p>In the current paper, we study a nonlinear fractional differential problems with two arbitrary orders. The existence and uniqueness of solutions for the considered problem by applying a number of fixed point theorems. The Ulam-Hyers stability of the proposed fractional problem is also discussed. Finally, some illustrative examples are treated.</p>
      </abstract>
      <kwd-group>
        <kwd>Caputo derivative</kwd>
        <kwd>Riemann-Liouville integral</kwd>
        <kwd>Existence</kwd>
        <kwd>Fixed point theorem</kwd>
        <kwd>Ulam-Hyers stability</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>
