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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
gdc.author.scopusid 55830225500
gdc.author.scopusid 56051853500
gdc.author.scopusid 7005872966
gdc.author.scopusid 7005821294
gdc.author.wosid Bayram, Mustafa/Jan-8668-2023
gdc.author.wosid Baleanu, Dumitru/B-9936-2012
gdc.author.wosid Inc, Mustafa/C-4307-2018
gdc.author.yokid 56389
gdc.bip.impulseclass C4
gdc.bip.influenceclass C4
gdc.bip.popularityclass C4
gdc.coar.access open access
gdc.coar.type text::journal::journal article
gdc.collaboration.industrial false
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
gdc.description.scopusquality Q2
gdc.description.startpage 813 en_US
gdc.description.volume 13 en_US
gdc.description.woscitationindex Science Citation Index Expanded
gdc.description.wosquality Q1
gdc.identifier.openalex W2962845836
gdc.identifier.wos WOS:000476741900001
gdc.index.type WoS
gdc.index.type Scopus
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gdc.oaire.diamondjournal false
gdc.oaire.impulse 29.0
gdc.oaire.influence 4.378409E-9
gdc.oaire.isgreen true
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
gdc.oaire.popularity 2.4842189E-8
gdc.oaire.publicfunded false
gdc.oaire.sciencefields 01 natural sciences
gdc.oaire.sciencefields 0103 physical sciences
gdc.openalex.collaboration International
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gdc.openalex.normalizedpercentile 0.92
gdc.openalex.toppercent TOP 10%
gdc.opencitations.count 36
gdc.plumx.crossrefcites 9
gdc.plumx.mendeley 4
gdc.plumx.scopuscites 42
gdc.publishedmonth 12
gdc.scopus.citedcount 42
gdc.virtual.author Baleanu, Dumitru
gdc.wos.citedcount 40
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