Reproducing kernel Hilbert space method for solving fractal fractional differential equations

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dc.contributor.authorAttia, Nourhane
dc.contributor.authorAkgül, Ali
dc.contributor.authorSeba, Djamila
dc.contributor.authorNour, Abdelkader
dc.contributor.authorRiaz, Muhammad Bilal
dc.date.accessioned2024-12-24T19:10:11Z
dc.date.available2024-12-24T19:10:11Z
dc.date.issued2022
dc.departmentSiirt Üniversitesi
dc.description.abstractBased on reproducing kernel theory, an analytical approach is considered to construct numerical solutions for some basic fractional ordinary differential equations (FODEs, for short) under fractal fractional derivative with the exponential decay kernel. For the first time, the implemented approach, namely reproducing kernel Hilbert space method (RKHSM), is proposed in terms of analytic and numerical fractal fractional solutions. Through the convergence analysis, we illustrate the high competency of the RKHSM. Our results are compared with the exact solutions, and they show us how the fractal-fractional derivative when the kernel is exponential decay affects the obtained outcomes. And, they also confirm the superior performance of the RKHSM. © 2022
dc.description.sponsorshipPolish National Science Centre, (2019/35/B/ST8/00980)
dc.identifier.doi10.1016/j.rinp.2022.105225
dc.identifier.issn2211-3797
dc.identifier.scopus2-s2.0-85125879010
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org10.1016/j.rinp.2022.105225
dc.identifier.urihttps://hdl.handle.net/20.500.12604/3990
dc.identifier.volume35
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherElsevier B.V.
dc.relation.ispartofResults in Physics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectConvergence analysis
dc.subjectExponential decay kernel
dc.subjectFractal fractional differential equations
dc.subjectReproducing kernel Hilbert space method
dc.titleReproducing kernel Hilbert space method for solving fractal fractional differential equations
dc.typeArticle

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