1 Ocak 2021 Dergi makalesi Açık Erişim

Huang, Lan-Lan; Wu, Guo-Cheng; Baleanu, Dumitru; Wang, Hong-Yong

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  <identifier identifierType="URL">https://aperta.ulakbim.gov.tr/record/238062</identifier>
  <creators>
    <creator>
      <creatorName>Huang, Lan-Lan</creatorName>
      <givenName>Lan-Lan</givenName>
      <familyName>Huang</familyName>
      <affiliation>Neijiang Normal Univ, Coll Math &amp; Informat Sci, Data Recovery Key Lab Sichuan Prov, Neijiang 641100, Peoples R China</affiliation>
    </creator>
    <creator>
      <creatorName>Wu, Guo-Cheng</creatorName>
      <givenName>Guo-Cheng</givenName>
      <familyName>Wu</familyName>
      <affiliation>Neijiang Normal Univ, Coll Math &amp; Informat Sci, Data Recovery Key Lab Sichuan Prov, Neijiang 641100, Peoples R China</affiliation>
    </creator>
    <creator>
      <creatorName>Baleanu, Dumitru</creatorName>
      <givenName>Dumitru</givenName>
      <familyName>Baleanu</familyName>
    </creator>
    <creator>
      <creatorName>Wang, Hong-Yong</creatorName>
      <givenName>Hong-Yong</givenName>
      <familyName>Wang</familyName>
      <affiliation>Nanjing Univ Finance &amp; Econ, Sch Appl Math, Nanjing 210046, Peoples R China</affiliation>
    </creator>
  </creators>
  <titles>
    <title>Discrete Fractional Calculus For Interval-Valued Systems</title>
  </titles>
  <publisher>Aperta</publisher>
  <publicationYear>2021</publicationYear>
  <dates>
    <date dateType="Issued">2021-01-01</date>
  </dates>
  <resourceType resourceTypeGeneral="Text">Journal article</resourceType>
  <alternateIdentifiers>
    <alternateIdentifier alternateIdentifierType="url">https://aperta.ulakbim.gov.tr/record/238062</alternateIdentifier>
  </alternateIdentifiers>
  <relatedIdentifiers>
    <relatedIdentifier relatedIdentifierType="DOI" relationType="IsIdenticalTo">10.1016/j.fss.2020.04.008</relatedIdentifier>
  </relatedIdentifiers>
  <rightsList>
    <rights rightsURI="http://www.opendefinition.org/licenses/cc-by">Creative Commons Attribution</rights>
    <rights rightsURI="info:eu-repo/semantics/openAccess">Open Access</rights>
  </rightsList>
  <descriptions>
    <description descriptionType="Abstract">This study investigates linear fractional difference equations with respect to interval-valued functions. Caputo and Riemann-Liouville differences are defined. w-monotonicity is introduced and discrete Leibniz integral laws are provided. Then exact solutions of two linear equations are obtained by Picard's iteration. In comparison with the deterministic initial problems, the solutions are given in discrete Mittag-Leffler functions with and without delay, respectively. This paper provides a novel tool to understand fractional uncertainty problems on discrete time domains. (C) 2020 Elsevier B.V. All rights reserved.</description>
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