1 Ocak 2016 Dergi makalesi Açık Erişim

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

MARC21 XML

<?xml version='1.0' encoding='UTF-8'?>
<record xmlns="http://www.loc.gov/MARC21/slim">
  <leader>00000nam##2200000uu#4500</leader>
  <datafield tag="909" ind1="C" ind2="O">
    <subfield code="p">user-tubitak-destekli-proje-yayinlari</subfield>
    <subfield code="o">oai:zenodo.org:60571</subfield>
  </datafield>
  <datafield tag="520" ind1=" " ind2=" ">
    <subfield code="a">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.</subfield>
  </datafield>
  <datafield tag="980" ind1=" " ind2=" ">
    <subfield code="a">publication</subfield>
    <subfield code="b">article</subfield>
  </datafield>
  <datafield tag="540" ind1=" " ind2=" ">
    <subfield code="a">Creative Commons Attribution</subfield>
    <subfield code="u">http://www.opendefinition.org/licenses/cc-by</subfield>
  </datafield>
  <datafield tag="773" ind1=" " ind2=" ">
    <subfield code="i">isVersionOf</subfield>
    <subfield code="a">10.81043/aperta.60570</subfield>
    <subfield code="n">doi</subfield>
  </datafield>
  <datafield tag="100" ind1=" " ind2=" ">
    <subfield code="a">Adjabi, Y.</subfield>
    <subfield code="u">Univ Mhamed Bougra, Dept Math, UMBB, Boumerdes, Algeria</subfield>
  </datafield>
  <datafield tag="856" ind1="4" ind2=" ">
    <subfield code="z">md5:769689b28e12007dad677bf188e388f8</subfield>
    <subfield code="s">191</subfield>
    <subfield code="u">https://aperta.ulakbim.gov.trrecord/60571/files/bib-2258fb04-12d6-47b6-8ab5-8234ed212742.txt</subfield>
  </datafield>
  <controlfield tag="005">20210316010140.0</controlfield>
  <datafield tag="260" ind1=" " ind2=" ">
    <subfield code="c">2016-01-01</subfield>
  </datafield>
  <datafield tag="024" ind1=" " ind2=" ">
    <subfield code="a">10.81043/aperta.60571</subfield>
    <subfield code="2">doi</subfield>
  </datafield>
  <datafield tag="542" ind1=" " ind2=" ">
    <subfield code="l">open</subfield>
  </datafield>
  <datafield tag="245" ind1=" " ind2=" ">
    <subfield code="a">On Cauchy problems with Caputo Hadamard fractional derivatives</subfield>
  </datafield>
  <datafield tag="909" ind1="C" ind2="4">
    <subfield code="v">21</subfield>
    <subfield code="p">JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS</subfield>
    <subfield code="c">661-681</subfield>
    <subfield code="n">4</subfield>
  </datafield>
  <datafield tag="650" ind1="1" ind2="7">
    <subfield code="a">cc-by</subfield>
    <subfield code="2">opendefinition.org</subfield>
  </datafield>
  <datafield tag="700" ind1=" " ind2=" ">
    <subfield code="a">Jarad, Fahd</subfield>
    <subfield code="u">Univ Turkish Aeronaut Assoc, Dept Logist Management, Fac Management, TR-06790 Ankara, Turkey</subfield>
  </datafield>
  <datafield tag="700" ind1=" " ind2=" ">
    <subfield code="a">Baleanu, D.</subfield>
  </datafield>
  <datafield tag="700" ind1=" " ind2=" ">
    <subfield code="a">Abdeljawad, T.</subfield>
    <subfield code="u">Prince Sultan Univ, Dept Math &amp; Phys Sci, POB 66833, Riyadh 11586, Saudi Arabia</subfield>
  </datafield>
  <controlfield tag="001">60571</controlfield>
  <datafield tag="980" ind1=" " ind2=" ">
    <subfield code="a">user-tubitak-destekli-proje-yayinlari</subfield>
  </datafield>
</record>