investigating nonlinear fractional systems: reproducing kernel Hilbert space method

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dc.contributor.authorAttia, Nourhane
dc.contributor.authorAkgul, Ali
dc.contributor.authorAlqahtani, Rubayyi T.
dc.date.accessioned2024-12-24T19:24:43Z
dc.date.available2024-12-24T19:24:43Z
dc.date.issued2024
dc.departmentSiirt Üniversitesi
dc.description.abstractThe reproducing kernel Hilbert space method (RK-HS method) is used in this research for solving some important nonlinear systems of fractional ordinary differential equations, such as the fractional Susceptible-Infected-Recovered (SIR) model. Nonlinear systems are widely used across various disciplines, including medicine, biology, technology, and numerous other fields. To evaluate the RK-HS method's accuracy and applicability, we compare its numerical solutions with those obtained via Hermite interpolation, the Adomian decomposition method, and the residual power series method. To further support the reliability of the RK-HS method, the convergence analysis is discussed.
dc.description.sponsorshipDeanship of Scientific Research, Imam Mohammad Ibn Saud Islamic University (IMSIU), Saudi Arabia [221412044]
dc.description.sponsorshipThe authors extend their appreciation to the Deanship of Scientific Research, Imam Mohammad Ibn Saud Islamic University (IMSIU), Saudi Arabia, for funding this research work through Grant No. (221412044).
dc.identifier.doi10.1007/s11082-023-05591-1
dc.identifier.issn0306-8919
dc.identifier.issn1572-817X
dc.identifier.issue1
dc.identifier.scopus2-s2.0-85177663397
dc.identifier.scopusqualityQ2
dc.identifier.urihttps://doi.org/10.1007/s11082-023-05591-1
dc.identifier.urihttps://hdl.handle.net/20.500.12604/6113
dc.identifier.volume56
dc.identifier.wosWOS:001122466600039
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherSpringer
dc.relation.ispartofOptical and Quantum Electronics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20241222
dc.subjectNumerical solution
dc.subjectReproducing kernel method
dc.subjectSIR model
dc.subjectFractional ordinary differential equations
dc.subjectCaputo derivative
dc.titleinvestigating nonlinear fractional systems: reproducing kernel Hilbert space method
dc.typeArticle

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