<?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-2058</article-id>
      <title-group>
        <article-title>Existence and uniqueness of linear and non-linear fractional differential equations</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes">
          <name>
            <surname>Menaria</surname>
            <given-names>Anil Kumar</given-names>
          </name>
          <aff>Department of Mathematics, Bhupal Nobles’ University, Udaipur, Rajasthan, 313002, India</aff>
        </contrib>
      </contrib-group>
      <volume>27</volume>
      <issue>8</issue>
      <fpage>1915</fpage>
      <lpage>1921</lpage>
      <pub-date date-type="pub">
        <day>16</day>
        <month>12</month>
        <year>2024</year>
      </pub-date>
      <abstract>
        <p>The existence and uniqueness of solutions for linear and nonlinear fractional differential equations (FDE) involving Miller-Ross sequential fractional derivatives (SFD) can be established through mathematical analysis and specific conditions, which allows direct applications with Riemann-Liouville fractional derivatives, the Caputo fractional derivatives and the Grunwald Letnikov derivatives, which is a particular case of the Miller-Ross SFD.</p>
      </abstract>
      <kwd-group>
        <kwd>Fractional differential equations</kwd>
        <kwd>Miller-ross sequential fractional derivatives</kwd>
        <kwd>Linear and non-linear differential equations</kwd>
        <kwd>Riemann-liouville differential equations</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>
