Analysis of some dynamical systems by combination of two different methods

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dc.contributor.authorGanie, Abdul Hamid
dc.contributor.authorZidan, A. M.
dc.contributor.authorShah, Rasool
dc.contributor.authorAkguel, Ali
dc.contributor.authorHassani, Murad Khan
dc.date.accessioned2024-12-24T19:27:58Z
dc.date.available2024-12-24T19:27:58Z
dc.date.issued2024
dc.departmentSiirt Üniversitesi
dc.description.abstractIn this study, we introduce a novel iterative method combined with the Elzaki transformation to address a system of partial differential equations involving the Caputo derivative. The Elzaki transformation, known for its effectiveness in solving differential equations, is incorporated into the proposed iterative approach to enhance its efficiency. The system of partial differential equations under consideration is characterized by the presence of Caputo derivatives, which capture fractional order dynamics. The developed method aims to provide accurate and efficient solutions to this complex mathematical system, contributing to the broader understanding of fractional calculus applications in the context of partial differential equations. Through numerical experiments and comparisons, we demonstrate the efficacy of the proposed Elzaki-transform-based iterative method in handling the intricate dynamics inherent in the given system. The study not only showcases the versatility of the Elzaki transformation but also highlights the potential of the developed iterative technique for addressing similar problems in various scientific and engineering domains.
dc.description.sponsorshipDeanship of Scientific Research at King Khalid University [RGP.2/13/44]
dc.description.sponsorshipThe authors extend their appreciation to the Deanship of Scientific Research at King Khalid University for funding this work through large group Research Project under Grant No. RGP.2/13/44.
dc.identifier.doi10.1038/s41598-024-62042-x
dc.identifier.issn2045-2322
dc.identifier.issue1
dc.identifier.pmid39134570
dc.identifier.scopus2-s2.0-85201242491
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1038/s41598-024-62042-x
dc.identifier.urihttps://hdl.handle.net/20.500.12604/6853
dc.identifier.volume14
dc.identifier.wosWOS:001290178500008
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.indekslendigikaynakPubMed
dc.language.isoen
dc.publisherNature Portfolio
dc.relation.ispartofScientific Reports
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectElzaki transformation
dc.subjectNew iterative method
dc.subjectCaputo derivative
dc.subjectSystem of partial differential equations
dc.titleAnalysis of some dynamical systems by combination of two different methods
dc.typeArticle

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