Monotonicity Analysis for Nabla H-Discrete Fractional Atangana-Baleanu Differences
| dc.contributor.author | Jarad, Fahd | |
| dc.contributor.author | Suwan, Iyad | |
| dc.contributor.author | Abdeljawad, Thabet | |
| dc.date.accessioned | 2020-03-18T13:48:13Z | |
| dc.date.accessioned | 2025-09-18T15:44:20Z | |
| dc.date.available | 2020-03-18T13:48:13Z | |
| dc.date.available | 2025-09-18T15:44:20Z | |
| dc.date.issued | 2018 | |
| dc.description | Jarad, Fahd/0000-0002-3303-0623 | en_US |
| dc.description.abstract | In this article, benefiting from the nabla h-fractional functions and nabla h-Taylor polynomials, some properties of the nabla h-discrete version of Mittag-Leffler (h-ML) function are studied. The monotonicity of the nabla h-fractional difference operator with h-ML kernel (Atangana-Baleanu fractional differences) is discussed. As an application, the Mean Value Theorem (MVT) on hZ is proved. (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 | Suwan, Iyad; Abdeljawad, Thabet; Jarad, Fahd, "Monotonicity analysis for nabla h-discrete fractional Atangana-Baleanu differences", Chaos Solitons & Fractals, Vol. 117, pp. 50-59, (2019). | en_US |
| dc.identifier.doi | 10.1016/j.chaos.2018.10.010 | |
| dc.identifier.issn | 0960-0779 | |
| dc.identifier.issn | 1873-2887 | |
| dc.identifier.scopus | 2-s2.0-85054829505 | |
| dc.identifier.uri | https://doi.org/10.1016/j.chaos.2018.10.010 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/14255 | |
| 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 | Nabla H-Discrete Version Of Mittag-Leffler (H-Ml) | en_US |
| dc.subject | R-L H-Fractional Difference | en_US |
| dc.subject | Caputo H-Fractional Difference | en_US |
| dc.subject | H-Fractional Mean Value Theorem | en_US |
| dc.title | Monotonicity Analysis for Nabla H-Discrete Fractional Atangana-Baleanu Differences | en_US |
| dc.title | Monotonicity analysis for nabla h-discrete fractional Atangana-Baleanu differences | 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 | Abdeljawad, Thabet/T-8298-2018 | |
| gdc.author.wosid | Jarad, Fahd/T-8333-2018 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Suwan, Iyad] Arab Amer Univ, Dept Math & Stat, POB 240, Zababdeh 13, Jenin, Palestine; [Abdeljawad, Thabet] Prince Sultan Univ, Dept Math & Phys Gen Sci, POB 66833, Riyadh 11586, Saudi Arabia; [Jarad, Fahd] Cankaya Univ, Dept Math, TR-06790 Ankara, Turkey | en_US |
| gdc.description.endpage | 59 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 50 | en_US |
| gdc.description.volume | 117 | en_US |
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| gdc.oaire.keywords | Dynamic equations on time scales or measure chains | |
| gdc.oaire.keywords | \(h\)-fractional mean value theorem | |
| gdc.oaire.keywords | Discrete version of topics in analysis | |
| gdc.oaire.keywords | nabla \(h\)-discrete version of Mittag-Leffler (\(h\)-ML) | |
| gdc.oaire.keywords | Caputo \(h\)-fractional difference | |
| gdc.oaire.keywords | R-L \(h\)-fractional difference | |
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