1 Ocak 2016 Dergi makalesi Açık Erişim

Adjabi, Y.; Jarad, Fahd; Baleanu, D.; Abdeljawad, T.

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  <identifier identifierType="URL">https://aperta.ulakbim.gov.tr/record/60571</identifier>
  <creators>
    <creator>
      <creatorName>Adjabi, Y.</creatorName>
      <givenName>Y.</givenName>
      <familyName>Adjabi</familyName>
      <affiliation>Univ Mhamed Bougra, Dept Math, UMBB, Boumerdes, Algeria</affiliation>
    </creator>
    <creator>
      <creatorName>Jarad, Fahd</creatorName>
      <givenName>Fahd</givenName>
      <familyName>Jarad</familyName>
      <affiliation>Univ Turkish Aeronaut Assoc, Dept Logist Management, Fac Management, TR-06790 Ankara, Turkey</affiliation>
    </creator>
    <creator>
      <creatorName>Baleanu, D.</creatorName>
      <givenName>D.</givenName>
      <familyName>Baleanu</familyName>
    </creator>
    <creator>
      <creatorName>Abdeljawad, T.</creatorName>
      <givenName>T.</givenName>
      <familyName>Abdeljawad</familyName>
      <affiliation>Prince Sultan Univ, Dept Math &amp; Phys Sci, POB 66833, Riyadh 11586, Saudi Arabia</affiliation>
    </creator>
  </creators>
  <titles>
    <title>On Cauchy Problems With Caputo Hadamard Fractional Derivatives</title>
  </titles>
  <publisher>Aperta</publisher>
  <publicationYear>2016</publicationYear>
  <dates>
    <date dateType="Issued">2016-01-01</date>
  </dates>
  <resourceType resourceTypeGeneral="Text">Journal article</resourceType>
  <alternateIdentifiers>
    <alternateIdentifier alternateIdentifierType="url">https://aperta.ulakbim.gov.tr/record/60571</alternateIdentifier>
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    <relatedIdentifier relatedIdentifierType="DOI" relationType="IsVersionOf">10.81043/aperta.60570</relatedIdentifier>
    <relatedIdentifier relatedIdentifierType="DOI" relationType="IsIdenticalTo">10.81043/aperta.60571</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>
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  <descriptions>
    <description descriptionType="Abstract">The current work is motivated by the so-called Caputo-type modification of the Hadamard or Caputo Hadamard fractional derivative discussed in [4]. The main aim of this paper is to study Cauchy problems for a differential equation with a left Caputo Hadamard fractional derivative in spaces of continuously differentiable functions. The equivalence of this problem to a nonlinear Volterra type integral equation of the second kind is shown. On the basis of the obtained results, the existence and uniqueness of the solution to the considered Cauchy problem is proved by using Banach's fixed point theorem. Finally, two examples are provided to explain the applications of the results.</description>
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