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A VARIATIONAL APPROACH OF THE STURM-LIOUVILLE PROBLEM IN FRACTIONAL DIFFERENCE CALCULUS

Mert, Raziye; Erbe, Lynn; Abdeljawad, Thabet


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  <identifier identifierType="URL">https://aperta.ulakbim.gov.tr/record/30255</identifier>
  <creators>
    <creator>
      <creatorName>Mert, Raziye</creatorName>
      <givenName>Raziye</givenName>
      <familyName>Mert</familyName>
      <affiliation>Univ Turkish Aeronaut Assoc, Mechatron Engn Dept, TR-06790 Ankara, Turkey</affiliation>
    </creator>
    <creator>
      <creatorName>Erbe, Lynn</creatorName>
      <givenName>Lynn</givenName>
      <familyName>Erbe</familyName>
      <affiliation>Univ Nebraska, Dept Math, Lincoln, NE 68588 USA</affiliation>
    </creator>
    <creator>
      <creatorName>Abdeljawad, Thabet</creatorName>
      <givenName>Thabet</givenName>
      <familyName>Abdeljawad</familyName>
      <affiliation>Prince Sultan Univ, Dept Math &amp; Gen Sci, POB 66833, Riyadh 11586, Saudi Arabia</affiliation>
    </creator>
  </creators>
  <titles>
    <title>A Variational Approach Of The Sturm-Liouville Problem In Fractional Difference Calculus</title>
  </titles>
  <publisher>Aperta</publisher>
  <publicationYear>2018</publicationYear>
  <dates>
    <date dateType="Issued">2018-01-01</date>
  </dates>
  <resourceType resourceTypeGeneral="Text">Journal article</resourceType>
  <alternateIdentifiers>
    <alternateIdentifier alternateIdentifierType="url">https://aperta.ulakbim.gov.tr/record/30255</alternateIdentifier>
  </alternateIdentifiers>
  <relatedIdentifiers>
    <relatedIdentifier relatedIdentifierType="DOI" relationType="IsIdenticalTo">10.12732/dsa.v27i1.7</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">In this article, we formulate and analyze a nabla fractional difference Sturm Liouville problem (SLP) with the nabla left Caputo fractional difference and the nabla right Riemann-Liouville fractional difference. The discrete fractional variational calculus is used to study the eigenvalues and eigenfunctions of the formulated SLP by presenting a new nabla fractional difference isoperimetric variational problem.</description>
  </descriptions>
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