Theory and Application for the Time Fractional Gardner Equation With Mittag-Leffler Kernel
| dc.contributor.author | Inc, Mustafa | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Bayram, Mustafa | |
| dc.contributor.author | Korpinar, Zeliha | |
| dc.date.accessioned | 2019-12-25T11:41:07Z | |
| dc.date.accessioned | 2025-09-18T12:49:03Z | |
| dc.date.available | 2019-12-25T11:41:07Z | |
| dc.date.available | 2025-09-18T12:49:03Z | |
| dc.date.issued | 2019 | |
| dc.description | Bayram, Mustafa/0000-0002-2994-7201; Inc, Mustafa/0000-0003-4996-8373; Korpinar, Zeliha/0000-0001-6658-131X | en_US |
| dc.description.abstract | In this work, the time fractional Gardner equation is presented as a new fractional model for Atangana-Baleanu fractional derivative with Mittag-Leffler kernel. The approximate consequences are analysed by applying a recurrent process. The existence and uniqueness of solution for this system is discussed. To explain the effects of several parameters and variables on the movement, the approximate results are shown in graphics and tables. | en_US |
| dc.identifier.citation | Körpınar, Zeliha...et al. (2019). "Theory and application for the time fractional Gardner equation with Mittag-Leffler kernel", Journal of Taibah University For Science, Vol. 13, No. 1, pp. 813-819. | en_US |
| dc.identifier.doi | 10.1080/16583655.2019.1640446 | |
| dc.identifier.issn | 1658-3655 | |
| dc.identifier.scopus | 2-s2.0-85076488126 | |
| dc.identifier.uri | https://doi.org/10.1080/16583655.2019.1640446 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/12242 | |
| dc.language.iso | en | en_US |
| dc.publisher | Taylor & Francis Ltd | en_US |
| dc.relation.ispartof | Journal of Taibah University for Science | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | The Time Fractional Gardner Equation | en_US |
| dc.subject | Atangana-Baleanu Derivative | en_US |
| dc.subject | Mittag-Leffler Kernel | en_US |
| dc.subject | Existence And Uniqueness | en_US |
| dc.subject | Series Solution | en_US |
| dc.title | Theory and Application for the Time Fractional Gardner Equation With Mittag-Leffler Kernel | en_US |
| dc.title | Theory and application for the time fractional Gardner equation with Mittag-Leffler kernel | tr_TR |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Bayram, Mustafa/0000-0002-2994-7201 | |
| gdc.author.id | Inc, Mustafa/0000-0003-4996-8373 | |
| gdc.author.id | Korpinar, Zeliha/0000-0001-6658-131X | |
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| gdc.author.wosid | Bayram, Mustafa/Jan-8668-2023 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Inc, Mustafa/C-4307-2018 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Korpinar, Zeliha] Mus Alparslan Univ, Fac Econ & Adm Sci, Dept Adm, Mus, Turkey; [Inc, Mustafa] Firat Univ, Sci Fac, Dept Math, TR-23119 Elazig, Turkey; [Baleanu, Dumitru] Cankaya Univ, Dept Math, Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele, Romania; [Bayram, Mustafa] Istanbul Gelisim Univ, Dept Comp Engn, Istanbul, Turkey | en_US |
| gdc.description.endpage | 819 | en_US |
| gdc.description.issue | 1 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 813 | en_US |
| gdc.description.volume | 13 | en_US |
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| gdc.oaire.keywords | Science (General) | |
| gdc.oaire.keywords | Series solution | |
| gdc.oaire.keywords | Atangana-Baleanu derivative | |
| gdc.oaire.keywords | DIFFERENTIAL-EQUATIONS | |
| gdc.oaire.keywords | Existence and uniqueness | |
| gdc.oaire.keywords | Q1-390 | |
| gdc.oaire.keywords | series solution | |
| gdc.oaire.keywords | Mittag-Leffler kernel | |
| gdc.oaire.keywords | The time fractional Gardner equation | |
| gdc.oaire.keywords | the time fractional gardner equation | |
| gdc.oaire.keywords | atangana–baleanu derivative | |
| gdc.oaire.keywords | Research Subject Categories::MATHEMATICS | |
| gdc.oaire.keywords | mittag-leffler kernel | |
| gdc.oaire.keywords | STABILITY ANALYSIS | |
| gdc.oaire.keywords | PATTERN-FORMATION | |
| gdc.oaire.keywords | existence and uniqueness | |
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