Travelling Wave Solutions for Some Time-Fractional Nonlinear Differential Equations

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dc.contributor.authorEkici, Mustafa
dc.date.accessioned2025-01-27T19:33:11Z
dc.date.available2025-01-27T19:33:11Z
dc.date.issued2024
dc.departmentÇanakkale Onsekiz Mart Üniversitesi
dc.description.abstractThis study employs the powerful generalized Kudryashov method to address the challenges posed by fractional differential equations in mathematical physics. The main objective is to obtain new exact solutions for three important equations: the (3+1)-dimensional time fractional Jimbo-Miwa equation, the (3+1)-dimensional time fractional modified KdV-Zakharov-Kuznetsov equation, and the (2+1)-dimensional time fractional Drinfeld-Sokolov-Satsuma-Hirota equation. The generalized Kudryashov method is highly versatile and effective in addressing nonlinear problems, making it a pivotal component in our research. Its adaptability makes it useful in diverse scientific disciplines. The method simplifies complex equations, improving our analytical capabilities and deepening our understanding of system dynamics. Additionally, we define fractional derivatives using the conformable fractional derivative framework, providing a strong foundation for our mathematical investigations. This paper examines the effectiveness of the generalized Kudryashov method in solving complex challenges presented by fractional differential equations and aims to provide guidance for future studies.
dc.identifier.doi10.34248/bsengineering.1413250
dc.identifier.endpage253
dc.identifier.issn2619-8991
dc.identifier.issue2
dc.identifier.startpage246
dc.identifier.trdizinid1227991
dc.identifier.urihttps://doi.org/10.34248/bsengineering.1413250
dc.identifier.urihttps://search.trdizin.gov.tr/tr/yayin/detay/1227991
dc.identifier.urihttps://hdl.handle.net/20.500.12428/16597
dc.identifier.volume7
dc.indekslendigikaynakTR-Dizin
dc.language.isoen
dc.relation.ispartofBlack Sea Journal of Engineering and Science
dc.relation.publicationcategoryMakale - Ulusal Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_TRD_20250125
dc.subjectMatematik
dc.titleTravelling Wave Solutions for Some Time-Fractional Nonlinear Differential Equations
dc.typeArticle

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