Nonlinear F-Contractions on B-Metric Spaces and Differential Equations in the Frame of Fractional Derivatives With Mittag-Leffler Kernel
| dc.contributor.author | Jarad, Fahd | |
| dc.contributor.author | Karapinar, Erdal | |
| dc.contributor.author | Alqahtani, Badr | |
| dc.contributor.author | Fulga, Andreea | |
| dc.date.accessioned | 2022-08-24T08:34:47Z | |
| dc.date.accessioned | 2025-09-18T12:06:56Z | |
| dc.date.available | 2022-08-24T08:34:47Z | |
| dc.date.available | 2025-09-18T12:06:56Z | |
| dc.date.issued | 2019 | |
| dc.description | Jarad, Fahd/0000-0002-3303-0623 | en_US |
| dc.description.abstract | In this manuscript, we aim to refine and characterize nonlinear F-contractions in a more general framework of b-metric spaces. We investigate the existence and uniqueness of such contractions in this setting. We discuss the solutions to differential equations in the setting of fractional derivatives involving Mittag-Leffler kernels (Atangana-Baleanu fractional derivative) by using nonlinear F-contractions that indicate the genuineness of the presented result. (C) 2019 Elsevier Ltd. All rights reserved. | en_US |
| dc.description.sponsorship | Deanship of Scientific Research at King Saud University [RG-1437-017] | en_US |
| dc.description.sponsorship | The authors would like to thank Deanship of Scientific Research at King Saud University for funding this group No. RG-1437-017 | en_US |
| dc.identifier.citation | Alqahtani, Badr...et al. (2019). "Nonlinear F-contractions on b-metric spaces and differential equations in the frame of fractional derivatives with Mittag–Leffler kernel", Chaos, Solitons and Fractals, Vol. 128, pp. 349-354. | en_US |
| dc.identifier.doi | 10.1016/j.chaos.2019.08.002 | |
| dc.identifier.issn | 0960-0779 | |
| dc.identifier.issn | 1873-2887 | |
| dc.identifier.scopus | 2-s2.0-85070887663 | |
| dc.identifier.uri | https://doi.org/10.1016/j.chaos.2019.08.002 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/11040 | |
| dc.language.iso | en | en_US |
| dc.publisher | Pergamon-elsevier Science Ltd | en_US |
| dc.relation.ispartof | Chaos, Solitons & Fractals | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | B-Metric Space | en_US |
| dc.subject | Nonlinear F-Contraction | en_US |
| dc.subject | Fractional Derivative | en_US |
| dc.title | Nonlinear F-Contractions on B-Metric Spaces and Differential Equations in the Frame of Fractional Derivatives With Mittag-Leffler Kernel | en_US |
| dc.title | Nonlinear F-contractions on b-metric spaces and differential equations in the frame of fractional derivatives with Mittag–Leffler kernel | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Jarad, Fahd/0000-0002-3303-0623 | |
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| gdc.author.wosid | Karapinar, Erdal/H-3177-2011 | |
| gdc.author.wosid | Fulga, Andreea/E-8173-2015 | |
| gdc.author.wosid | Jarad, Fahd/T-8333-2018 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Alqahtani, Badr] King Saud Univ, Dept Math, Riyadh, Saudi Arabia; [Fulga, Andreea] Univ Transilvania Brasov, Dept Math & Comp Sci, Brasov, Romania; [Jarad, Fahd] Cankaya Univ, Dept Math, TR-06790 Ankara, Turkey; [Karapinar, Erdal] China Med Univ, Dept Med Res, Taichung, Taiwan | en_US |
| gdc.description.endpage | 354 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 349 | en_US |
| gdc.description.volume | 128 | en_US |
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| gdc.oaire.keywords | \(b\)-metric space | |
| gdc.oaire.keywords | Fixed-point and coincidence theorems (topological aspects) | |
| gdc.oaire.keywords | nonlinear \(F\)-contraction | |
| gdc.oaire.keywords | fractional derivative | |
| gdc.oaire.keywords | Fractional ordinary differential equations | |
| gdc.oaire.keywords | Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations | |
| gdc.oaire.keywords | Special maps on metric spaces | |
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| gdc.virtual.author | Jarad, Fahd | |
| gdc.virtual.author | Karapınar, Erdal | |
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