On a Class of Ordinary Differential Equations in the Frame of Atangana-Baleanu Fractional Derivative
| dc.contributor.author | Jarad, Fahd | |
| dc.contributor.author | Abdeljawad, Thabet | |
| dc.contributor.author | Hammouch, Zakia | |
| dc.date.accessioned | 2020-03-17T13:30:21Z | |
| dc.date.accessioned | 2025-09-18T13:26:57Z | |
| dc.date.available | 2020-03-17T13:30:21Z | |
| dc.date.available | 2025-09-18T13:26:57Z | |
| dc.date.issued | 2018 | |
| dc.description | Hammouch, Zakia/0000-0001-7349-6922; Jarad, Fahd/0000-0002-3303-0623 | en_US |
| dc.description.abstract | In this paper, we discuss the conditions of existence and uniqueness of solutions to a certain class of ordinary differential equations involving Atangana-Baleanu fractional derivative. Benefiting from the Gronwall inequality in the frame of Riemann-Liouville fractional integral, we establish a Gronwall inequality in the frame of Atangana-Baleanu fractional integral. Then, we study the stability of such equations in the sense of Ulam. (C) 2018 Elsevier Ltd. All rights reserved. | en_US |
| dc.description.sponsorship | Prince Sultan University through research group Nonlinear Analysis Methods in Applied Mathematics (NAMAM) [RG-DES-2017-01-17] | en_US |
| dc.description.sponsorship | The second author would like to thank Prince Sultan University for funding this work through research group Nonlinear Analysis Methods in Applied Mathematics (NAMAM) group number RG-DES-2017-01-17. | en_US |
| dc.identifier.citation | Jarad, Fand; Abdeljawad, Thabet; Hammouch, Zakia, "On a class of ordinary differential equations in the frame of Atangana-Baleanu fractional derivative", Chaos Solitons & Fractals, Vol. 117, pp. 16-20, (2018). | en_US |
| dc.identifier.doi | 10.1016/j.chaos.2018.10.006 | |
| dc.identifier.issn | 0960-0779 | |
| dc.identifier.issn | 1873-2887 | |
| dc.identifier.scopus | 2-s2.0-85054432146 | |
| dc.identifier.uri | https://doi.org/10.1016/j.chaos.2018.10.006 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/12763 | |
| 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 | Atangana-Baleanu Fractional Derivatives | en_US |
| dc.subject | Atangana-Baleanu Fractional Integrals | en_US |
| dc.subject | Gronwall Inequality | en_US |
| dc.subject | Ulam-Hyers Stability | en_US |
| dc.title | On a Class of Ordinary Differential Equations in the Frame of Atangana-Baleanu Fractional Derivative | en_US |
| dc.title | On a class of ordinary differential equations in the frame of Atangana-Baleanu fractional derivative | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Hammouch, Zakia/0000-0001-7349-6922 | |
| gdc.author.id | Jarad, Fahd/0000-0002-3303-0623 | |
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| gdc.author.wosid | Jarad, Fahd/T-8333-2018 | |
| gdc.author.wosid | Hammouch, Zakia/D-3532-2011 | |
| gdc.author.wosid | Abdeljawad, Thabet/T-8298-2018 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Jarad, Fahd] Cankaya Univ, Dept Math, TR-06790 Ankara, Turkey; [Abdeljawad, Thabet] Prince Sultan Univ, Dept Math & Phys Sci, POB 66833, Riyadh 11586, Saudi Arabia; [Hammouch, Zakia] Moulay Ismail Univ, FST Errachidia, Dept Math, Equipe E3MI, Boutalamine, Errachidia, Morocco | en_US |
| gdc.description.endpage | 20 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 16 | en_US |
| gdc.description.volume | 117 | en_US |
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| gdc.oaire.keywords | Gronwall inequality | |
| gdc.oaire.keywords | Atangana-Baleanu fractional integrals | |
| 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 | Stability of solutions to ordinary differential equations | |
| gdc.oaire.keywords | Atangana-Baleanu fractional derivatives | |
| gdc.oaire.keywords | Ulam-Hyers stability | |
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| gdc.virtual.author | Jarad, Fahd | |
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