Numerical solutions of fractional differential equations of Lane-Emden type by an accurate technique

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dc.contributor.authorAkgul, Ali
dc.contributor.authorInc, Mustafa
dc.contributor.authorKaratas, Esra
dc.contributor.authorBaleanu, Dumitru
dc.date.accessioned2024-12-24T19:29:54Z
dc.date.available2024-12-24T19:29:54Z
dc.date.issued2015
dc.departmentSiirt Üniversitesi
dc.description.abstractIn this work, we study the fractional order Lane-Emden differential equations by using the reproducing kernel method. The exact solution is shown in the form of a series in the reproducing kernel Hilbert space. Some numerical examples are given in order to demonstrate the accuracy of the present method. The results obtained from the method are compared with the exact solutions and another method. The obtained numerical results are better than the ones provided by the collocation method. Results of numerical examples show that the presented method is simple, effective, and easy to use.
dc.identifier.doi10.1186/s13662-015-0558-8
dc.identifier.issn1687-1847
dc.identifier.scopus2-s2.0-84937912448
dc.identifier.scopusqualityN/A
dc.identifier.urihttps://doi.org/10.1186/s13662-015-0558-8
dc.identifier.urihttps://hdl.handle.net/20.500.12604/7306
dc.identifier.wosWOS:000358365200003
dc.identifier.wosqualityQ4
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherSpringer International Publishing Ag
dc.relation.ispartofAdvances in Difference Equations
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectreproducing kernel method
dc.subjectfractional differential equations
dc.subjectLane-Emden differential equations
dc.titleNumerical solutions of fractional differential equations of Lane-Emden type by an accurate technique
dc.typeArticle

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