Extension of the Reproducing Kernel Hilbert Space Method's Application Range to Include Some Important Fractional Differential Equations

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dc.contributor.authorAttia, Nourhane
dc.contributor.authorAkgul, Ali
dc.contributor.authorAlqahtani, Rubayyi T. T.
dc.date.accessioned2024-12-24T19:33:47Z
dc.date.available2024-12-24T19:33:47Z
dc.date.issued2023
dc.departmentSiirt Üniversitesi
dc.description.abstractFractional differential equations are becoming more and more indispensable for modeling real-life problems. Modeling and then analyzing these fractional differential equations assists researchers in comprehending and predicting the system they want to study. This is only conceivable when their solutions are available. However, the majority of fractional differential equations lack exact solutions, and even when they do, they cannot be assessed precisely. Therefore, in order to analyze the symmetry analysis and acquire approximate solutions, one must rely on numerical approaches. In order to solve several significant fractional differential equations numerically, this work presents an effective approach. This method's versatility and simplicity are its key benefits. To verify the RKHSM's applicability, the convergence analysis and error estimations related to it are discussed. We also provide the profiles of a variety of representative numerical solutions to the problem at hand. We validated the potential, reliability, and efficacy of the RKHSM by testing some examples.
dc.description.sponsorshipImam Mohammad Ibn Saud Islamic University (IMSIU), Saudi Arabia [221412044]
dc.description.sponsorshipThis research was funded by Deanship of Scientific Research, Imam Mohammad Ibn Saud Islamic University (IMSIU), Saudi Arabia grant number 221412044.
dc.identifier.doi10.3390/sym15020532
dc.identifier.issn2073-8994
dc.identifier.issue2
dc.identifier.scopus2-s2.0-85149288745
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.3390/sym15020532
dc.identifier.urihttps://hdl.handle.net/20.500.12604/8290
dc.identifier.volume15
dc.identifier.wosWOS:000940542900001
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherMdpi
dc.relation.ispartofSymmetry-Basel
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectnumerical solution
dc.subjectnon-linear fractional ordinary differential equations
dc.subjectreproducing kernel method
dc.subjectCaputo derivative
dc.titleExtension of the Reproducing Kernel Hilbert Space Method's Application Range to Include Some Important Fractional Differential Equations
dc.typeArticle

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