Applications of new smart algorithm based on kernel method for variable fractional functional boundary value problems

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dc.authoridAllahviranloo, Tofigh/0000-0002-6673-3560
dc.authorwosidAllahviranloo, Tofigh/V-4843-2019
dc.contributor.authorRasekhinezhad, Hajar
dc.contributor.authorAbbasbandy, Saeid
dc.contributor.authorAllahviranloo, Tofigh
dc.contributor.authorBaboliand, Esmail
dc.date.accessioned2024-05-19T14:39:49Z
dc.date.available2024-05-19T14:39:49Z
dc.date.issued2024
dc.departmentİstinye Üniversitesien_US
dc.description.abstractThis paper studies the variable fractional functional boundary value problems (VFF-BVPs) by considering Caputo fractional derivative. We use the reproducing kernel method (RKM) without the orthogonalization process as a smart scheme. For this purpose, we construct a reproducing kernel that does not satisfy the boundary condition of VFF-BVP. With this kernel, we can better approximate the solutions for VFF-BVP. Using this method increases the accuracy of the approximate solution so that a significant error analysis can be produced. Finally, two numerical examples are solved to illustrate the efficiency of the present method.en_US
dc.identifier.doi10.1007/s40435-024-01397-5
dc.identifier.issn2195-268X
dc.identifier.issn2195-2698
dc.identifier.scopus2-s2.0-85188094759en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttps://doi.org10.1007/s40435-024-01397-5
dc.identifier.urihttps://hdl.handle.net/20.500.12713/4855
dc.identifier.wosWOS:001187135500001en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSpringernatureen_US
dc.relation.ispartofInternational Journal of Dynamics and Controlen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.snmz20240519_kaen_US
dc.subjectCaputo Fractional Derivativeen_US
dc.subjectVariable Fractionalen_US
dc.subjectReproducing Kernel Methoden_US
dc.subjectBoundary Value Problemsen_US
dc.subjectOrthogonalization Processen_US
dc.titleApplications of new smart algorithm based on kernel method for variable fractional functional boundary value problemsen_US
dc.typeArticleen_US

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