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On Cauchy problems with Caputo Hadamard fractional derivatives

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dc.contributor.author Adjabi, Yassine
dc.contributor.author Jarad, Fahd
dc.contributor.author Baleanu, Dumitru
dc.contributor.author Abdeljawad, Thabet
dc.date.accessioned 2018-09-25T08:13:01Z
dc.date.available 2018-09-25T08:13:01Z
dc.date.issued 2016-10
dc.identifier.citation Adjabi, Y...et al. (2016). On Cauchy problems with Caputo Hadamard fractional derivatives. Journal of Computational Analysis and Application, 21(4), 661-681. tr_TR
dc.identifier.issn 1521-1398
dc.identifier.uri http://hdl.handle.net/20.500.12416/1783
dc.description.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. tr_TR
dc.language.iso eng tr_TR
dc.publisher Eudoxus Press tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Caputo Hadamard Fractional Derivatives tr_TR
dc.subject Cauchy Problem tr_TR
dc.subject Volterra Integral Equation tr_TR
dc.subject Continuously Differentiable Function tr_TR
dc.subject Fixed Point Theorems tr_TR
dc.title On Cauchy problems with Caputo Hadamard fractional derivatives tr_TR
dc.type article tr_TR
dc.relation.journal Journal of Computational Analysis and Application tr_TR
dc.contributor.authorID 234808 tr_TR
dc.identifier.volume 21 tr_TR
dc.identifier.issue 4 tr_TR
dc.identifier.startpage 661 tr_TR
dc.identifier.endpage 681 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bilgisayar Bölümü tr_TR


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