Exploring the Elzaki Transform: Unveiling Solutions to Reaction-Diffu-sion Equations with Generalized Composite Fractional Derivatives

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dc.authoridKHALID, MOHD/0000-0002-6408-0391
dc.contributor.authorKhalid, Mohd
dc.contributor.authorMallah, Ishfaq Ahmad
dc.contributor.authorAlha, Subhash
dc.contributor.authorAkguel, Ali
dc.date.accessioned2024-12-24T19:33:56Z
dc.date.available2024-12-24T19:33:56Z
dc.date.issued2024
dc.departmentSiirt Üniversitesi
dc.description.abstractThis article investigates the use of the Elzaki transform on a generalized composite fractional derivative. To establish the framework for this inquiry, numerous essential lemmas about the Elzaki transform are presented. We successfully extract the solution to the reaction-diffusion problem using both the Elzaki and Fourier transforms, which include a generalized composite fractional derivative. We also look at special examples of the generalized equation, which helps us understand its applications and consequences better. The results show that the Elzaki transform is successful in dealing with complicated fractional differential equations, introducing new analytical approaches and solutions to the subject of fractional calculus and its applications in reaction-diffusion systems.
dc.description.sponsorshipThe authors are very thankful to the editor and anonymous referees for their critical comments and suggestions
dc.identifier.doi10.37256/cm.5220244621
dc.identifier.endpage2625
dc.identifier.issn2705-1064
dc.identifier.issn2705-1056
dc.identifier.issue2
dc.identifier.scopus2-s2.0-85197863641
dc.identifier.scopusqualityQ4
dc.identifier.startpage2613
dc.identifier.urihttps://doi.org/10.37256/cm.5220244621
dc.identifier.urihttps://hdl.handle.net/20.500.12604/8330
dc.identifier.volume5
dc.identifier.wosWOS:001281679100022
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherUniversal Wiser Publisher
dc.relation.ispartofContemporary Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectelzaki transform
dc.subjectgeneralised composite fractional derivative
dc.subjectreaction-diffusion equation
dc.subjectfourier transform
dc.subjectfractional calculus applications
dc.titleExploring the Elzaki Transform: Unveiling Solutions to Reaction-Diffu-sion Equations with Generalized Composite Fractional Derivatives
dc.typeArticle

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