Exact Solutions for Space-time Fractional Peyrard-Bishop-Dauxois Model of DNA Dynamics by Using the Unified Method

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dc.contributor.authorEkici, Mustafa
dc.contributor.authorPirim, Nilay Akgönüllü
dc.date.accessioned2026-02-03T11:53:34Z
dc.date.available2026-02-03T11:53:34Z
dc.date.issued2025
dc.departmentÇanakkale Onsekiz Mart Üniversitesi
dc.description.abstractIn this study, we investigated the space-time fractional order Peyrard–Bishop–Dauxois model using the unified method to derive exact analytical traveling wave solutions. By incorporating fractional derivatives, the model effectively captures memory effects and nonlocal interactions intrinsic to DNA dynamics, providing a refined representation of processes such as DNA denaturation. Notably, our analysis led to the discovery of soliton solutions, along with novel hyperbolic, trigonometric, and rational forms. These results not only deepen our understanding of the complex nonlinear behavior inherent in biological systems but also underscore the robustness and versatility of the unified method in addressing intricate fractional differential equations. The findings of this study provide a foundation for the further refinement of mathematical models and the exploration of more sophisticated fractional dynamics in molecular biology. © MatDer.
dc.identifier.doi10.47000/tjmcs.1636247
dc.identifier.endpage144
dc.identifier.issue1
dc.identifier.scopus2-s2.0-105010247332
dc.identifier.scopusqualityQ4
dc.identifier.startpage136
dc.identifier.trdizinid1322073
dc.identifier.urihttps://doi.org/10.47000/tjmcs.1636247
dc.identifier.urihttps://search.trdizin.gov.tr/tr/yayin/detay/1322073
dc.identifier.urihttps://hdl.handle.net/20.500.12428/34235
dc.identifier.volume17
dc.indekslendigikaynakScopus
dc.indekslendigikaynakTR-Dizin
dc.language.isoen
dc.publisherAssociation of Mathematicians (MATDER)
dc.relation.ispartofTurkish Journal of Mathematics and Computer Science
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_Scopus_20260130
dc.subjectthe Peyrard–Bishop–Dauxois model
dc.subjectThe unified method
dc.subject??fractional derivative
dc.titleExact Solutions for Space-time Fractional Peyrard-Bishop-Dauxois Model of DNA Dynamics by Using the Unified Method
dc.typeArticle

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