On Conformable Fractional Calculus
| dc.contributor.author | Abdeljawad, Thabet | |
| dc.date.accessioned | 2022-10-11T11:46:20Z | |
| dc.date.accessioned | 2025-09-18T13:27:00Z | |
| dc.date.available | 2022-10-11T11:46:20Z | |
| dc.date.available | 2025-09-18T13:27:00Z | |
| dc.date.issued | 2015 | |
| dc.description | Abdeljawad, Thabet/0000-0002-8889-3768 | en_US |
| dc.description.abstract | Recently, the authors Khalil et al. (2014) introduced a new simple well-behaved definition of the fractional derivative called conformable fractional derivative. In this article we proceed on to develop the definitions there and set the basic concepts in this new simple interesting fractional calculus. The fractional versions of chain rule, exponential functions, Gronwall's inequality, integration by parts, Taylor power series expansions, Laplace transforms and linear differential systems are proposed and discussed. (C) 2014 Elsevier By. All rights reserved. | en_US |
| dc.identifier.citation | Abdeljawad, Thabet (2015). "On conformable fractional calculus", Journal of Computational and Applied Mathematics, Vol. 279, pp. 57-66. | en_US |
| dc.identifier.doi | 10.1016/j.cam.2014.10.016 | |
| dc.identifier.issn | 0377-0427 | |
| dc.identifier.issn | 1879-1778 | |
| dc.identifier.scopus | 2-s2.0-84911406110 | |
| dc.identifier.uri | https://doi.org/10.1016/j.cam.2014.10.016 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/12793 | |
| dc.language.iso | en | en_US |
| dc.publisher | Elsevier Science Bv | en_US |
| dc.relation.ispartof | Journal of Computational and Applied Mathematics | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Left And Right Conformable Fractional Derivatives | en_US |
| dc.subject | Left And Right Conformable Fractional Integrals | en_US |
| dc.subject | Fractional Taylor Power Series Expansion | en_US |
| dc.subject | Fractional Exponential Function | en_US |
| dc.subject | Fractional Gronwall'S Inequality | en_US |
| dc.subject | Chain Rule | en_US |
| dc.title | On Conformable Fractional Calculus | en_US |
| dc.title | On conformable fractional calculus | tr_TR |
| dc.type | Article | en_US |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Abdeljawad, Thabet] Prince Sultan Univ Riyadh KSA, Dept Math & Gen Sci, Riyadh, Saudi Arabia; [Abdeljawad, Thabet] Cankaya Univ, Dept Math, TR-06530 Ankara, Turkey | en_US |
| gdc.description.endpage | 66 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 57 | en_US |
| gdc.description.volume | 279 | en_US |
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| gdc.oaire.keywords | Mathematics - Classical Analysis and ODEs | |
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| gdc.oaire.keywords | Dynamical Systems (math.DS) | |
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| gdc.oaire.keywords | fractional Taylor power series expansion | |
| gdc.oaire.keywords | fractional Gronwall's inequality | |
| gdc.oaire.keywords | fractional exponential function | |
| gdc.oaire.keywords | left and right conformable fractional derivatives | |
| gdc.oaire.keywords | left and right conformable fractional integrals | |
| gdc.oaire.keywords | Fractional derivatives and integrals | |
| gdc.oaire.keywords | chain rule | |
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