On a class of ordinary differential equations in the frame of Atangana-Baleanu fractional derivative
| dc.authorid | Hammouch, Zakia/0000-0001-7349-6922 | |
| dc.authorid | Jarad, Fahd/0000-0002-3303-0623 | |
| dc.authorscopusid | 15622742900 | |
| dc.authorscopusid | 6508051762 | |
| dc.authorscopusid | 12768922000 | |
| dc.authorwosid | Jarad, Fahd/T-8333-2018 | |
| dc.authorwosid | Hammouch, Zakia/D-3532-2011 | |
| dc.authorwosid | Abdeljawad, Thabet/T-8298-2018 | |
| dc.contributor.author | Jarad, Fahd | |
| dc.contributor.author | Jarad, Fahd | |
| dc.contributor.author | Abdeljawad, Thabet | |
| dc.contributor.author | Abdeljawad, Thabet | |
| dc.contributor.author | Hammouch, Zakia | |
| dc.contributor.authorID | 234808 | tr_TR |
| dc.contributor.other | Matematik | |
| dc.date.accessioned | 2020-03-17T13:30:21Z | |
| dc.date.available | 2020-03-17T13:30:21Z | |
| dc.date.issued | 2018 | |
| dc.department | Çankaya University | en_US |
| dc.department-temp | [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 |
| 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.publishedMonth | 12 | |
| 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.description.woscitationindex | Science Citation Index Expanded | |
| 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.endpage | 20 | en_US |
| dc.identifier.issn | 0960-0779 | |
| dc.identifier.issn | 1873-2887 | |
| dc.identifier.scopus | 2-s2.0-85054432146 | |
| dc.identifier.scopusquality | Q1 | |
| dc.identifier.startpage | 16 | en_US |
| dc.identifier.uri | https://doi.org/10.1016/j.chaos.2018.10.006 | |
| dc.identifier.volume | 117 | en_US |
| dc.identifier.wos | WOS:000451743700002 | |
| dc.identifier.wosquality | Q1 | |
| dc.language.iso | en | en_US |
| dc.publisher | Pergamon-elsevier Science Ltd | 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 | 327 | |
| 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 | tr_TR |
| dc.title | On a Class of Ordinary Differential Equations in the Frame of Atangana-Baleanu Fractional Derivative | en_US |
| dc.type | Article | en_US |
| dc.wos.citedbyCount | 299 | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | c818455d-5734-4abd-8d29-9383dae37406 | |
| relation.isAuthorOfPublication | ab09a09b-0017-4ffe-a8fe-b9b0499b2c01 | |
| relation.isAuthorOfPublication.latestForDiscovery | c818455d-5734-4abd-8d29-9383dae37406 | |
| relation.isOrgUnitOfPublication | 26a93bcf-09b3-4631-937a-fe838199f6a5 | |
| relation.isOrgUnitOfPublication.latestForDiscovery | 26a93bcf-09b3-4631-937a-fe838199f6a5 |
Files
License bundle
1 - 1 of 1
No Thumbnail Available
- Name:
- license.txt
- Size:
- 1.71 KB
- Format:
- Item-specific license agreed upon to submission
- Description: