Reproducing kernel Hilbert space method for the numerical solutions of fractional cancer tumor models

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dc.authoridSEBA, Djamila/0000-0002-7910-3074
dc.contributor.authorAttia, Nourhane
dc.contributor.authorAkgul, Ali
dc.contributor.authorSeba, Djamila
dc.contributor.authorNour, Abdelkader
dc.date.accessioned2024-12-24T19:24:14Z
dc.date.available2024-12-24T19:24:14Z
dc.date.issued2023
dc.departmentSiirt Üniversitesi
dc.description.abstractThis research work is concerned with the new numerical solutions of some essential fractional cancer tumor models, which are investigated by using reproducing kernel Hilbert space method (RKHSM). The most valuable advantage of the RKHSM is its ease of use and its quick calculation to obtain the numerical solutions of the considered problem. We make use of the Caputo fractional derivative. Our main tools are reproducing kernel theory, some important Hilbert spaces, and a normal basis. We illustrate the high competency and capacity of the suggested approach through the convergence analysis. The computational results clearly show the superior performance of the RKHSM.
dc.identifier.doi10.1002/mma.6940
dc.identifier.endpage7653
dc.identifier.issn0170-4214
dc.identifier.issn1099-1476
dc.identifier.issue7
dc.identifier.scopus2-s2.0-85092454084
dc.identifier.scopusqualityQ1
dc.identifier.startpage7632
dc.identifier.urihttps://doi.org/10.1002/mma.6940
dc.identifier.urihttps://hdl.handle.net/20.500.12604/5905
dc.identifier.volume46
dc.identifier.wosWOS:000578711800001
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherWiley
dc.relation.ispartofMathematical Methods in The Applied Sciences
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20241222
dc.subjectCaputo fractional derivative
dc.subjectfractional cancer tumor models
dc.subjectGram-Schmidt orthogonalization process
dc.subjectreproducing kernel Hilbert space method
dc.titleReproducing kernel Hilbert space method for the numerical solutions of fractional cancer tumor models
dc.typeArticle

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