On Cauchy problems with Caputo Hadamard fractional derivatives
| dc.authorid | Abdeljawad, Thabet/0000-0002-8889-3768 | |
| dc.authorid | Jarad, Fahd/0000-0002-3303-0623 | |
| dc.authorscopusid | 25929845700 | |
| dc.authorscopusid | 15622742900 | |
| dc.authorscopusid | 7005872966 | |
| dc.authorscopusid | 6508051762 | |
| dc.authorwosid | Jarad, Fahd/T-8333-2018 | |
| dc.authorwosid | Yacine, Adjabi/Aag-4747-2020 | |
| dc.authorwosid | Baleanu, Dumitru/B-9936-2012 | |
| dc.authorwosid | Abdeljawad, Thabet/T-8298-2018 | |
| dc.contributor.author | Adjabi, Y. | |
| dc.contributor.author | Jarad, Fahd | |
| dc.contributor.author | Baleanu, D. | |
| dc.contributor.author | Abdeljawad, T. | |
| dc.contributor.authorID | 234808 | tr_TR |
| dc.contributor.other | Matematik | |
| dc.date.accessioned | 2018-09-25T08:13:01Z | |
| dc.date.available | 2018-09-25T08:13:01Z | |
| dc.date.issued | 2016 | |
| dc.department | Çankaya University | en_US |
| dc.department-temp | [Adjabi, Y.] Univ Mhamed Bougra, Dept Math, UMBB, Boumerdes, Algeria; [Jarad, Fahd] Univ Turkish Aeronaut Assoc, Dept Logist Management, Fac Management, TR-06790 Ankara, Turkey; [Baleanu, D.] Cankaya Univ, Fac Arts & Sci, Dept Math & Comp Sci, TR-06810 Ankara, Turkey; [Baleanu, D.] Inst Space Sci, POB MG-23, Bucharest 76900, Romania; [Abdeljawad, T.] Prince Sultan Univ, Dept Math & Phys Sci, POB 66833, Riyadh 11586, Saudi Arabia | en_US |
| dc.description | Abdeljawad, Thabet/0000-0002-8889-3768; Jarad, Fahd/0000-0002-3303-0623 | en_US |
| 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. | en_US |
| dc.description.publishedMonth | 10 | |
| dc.description.sponsorship | Scientific and Technical Research Council of Turkey | en_US |
| dc.description.sponsorship | This work is partially supported by the Scientific and Technical Research Council of Turkey. | en_US |
| dc.description.woscitationindex | Science Citation Index Expanded | |
| 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. | en_US |
| dc.identifier.endpage | 681 | en_US |
| dc.identifier.issn | 1521-1398 | |
| dc.identifier.issn | 1572-9206 | |
| dc.identifier.issue | 4 | en_US |
| dc.identifier.scopus | 2-s2.0-85014847293 | |
| dc.identifier.scopusquality | Q4 | |
| dc.identifier.startpage | 661 | en_US |
| dc.identifier.volume | 21 | en_US |
| dc.identifier.wos | WOS:000368960200004 | |
| dc.identifier.wosquality | N/A | |
| dc.institutionauthor | Jarad, Fahd | |
| dc.institutionauthor | Baleanu, Dumitru | |
| dc.institutionauthor | Abdeljawad, Thabet | |
| dc.language.iso | en | en_US |
| dc.publisher | Eudoxus Press, Llc | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.scopus.citedbyCount | 121 | |
| dc.subject | Caputo Hadamard Fractional Derivatives | en_US |
| dc.subject | Cauchy Problem | en_US |
| dc.subject | Volterra Integral Equation | en_US |
| dc.subject | Continuously Differentiable Function | en_US |
| dc.subject | Fixed Point Theorem | en_US |
| dc.title | On Cauchy problems with Caputo Hadamard fractional derivatives | tr_TR |
| dc.title | On Cauchy Problems With Caputo Hadamard Fractional Derivatives | en_US |
| dc.type | Article | en_US |
| dc.wos.citedbyCount | 117 | |
| dspace.entity.type | Publication | |
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