Advancing differential equation solutions: A novel Laplace-reproducing kernel Hilbert space method for nonlinear fractional Riccati equations

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dc.authoridAttia, Nourhane/0000-0002-9937-8665
dc.contributor.authorAkgul, Ali
dc.contributor.authorAttia, Nourhane
dc.date.accessioned2024-12-24T19:29:40Z
dc.date.available2024-12-24T19:29:40Z
dc.date.issued2024
dc.departmentSiirt Üniversitesi
dc.description.abstractFractional ordinary differential equations are crucial for modeling various phenomena in engineering and physics. This study aims to enhance solution methodologies by combining the Laplace transform with the reproducing kernel Hilbert space method (RKHSM). This integration leads to a more effective approach compared to the classical RKHSM. We apply the Laplace-reproducing kernel Hilbert space method (L-RKHSM) to develop novel numerical solutions for nonlinear fractional Riccati differential equations. The L-RKHSM systematically produces both approximate and analytic solutions in series form. We present detailed results for four illustrative examples, showcasing the superior performance of the L-RKHSM over traditional methods. This innovative approach not only advances our understanding of nonlinear fractional ordinary differential equations but also demonstrates its effectiveness through significantly improved outcomes in various applications.
dc.identifier.doi10.1142/S0129183124501869
dc.identifier.issn0129-1831
dc.identifier.issn1793-6586
dc.identifier.scopus2-s2.0-85200891401
dc.identifier.scopusqualityQ2
dc.identifier.urihttps://doi.org/10.1142/S0129183124501869
dc.identifier.urihttps://hdl.handle.net/20.500.12604/7197
dc.identifier.wosWOS:001284614400003
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherWorld Scientific Publ Co Pte Ltd
dc.relation.ispartofInternational Journal of Modern Physics C
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20241222
dc.subjectNonlinear fractional ordinary differential equations
dc.subjectLaplace transformation
dc.subjectreproducing kernel method
dc.subjectnumerical solution
dc.titleAdvancing differential equation solutions: A novel Laplace-reproducing kernel Hilbert space method for nonlinear fractional Riccati equations
dc.typeArticle

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