Numerical Solutions of Fractional Differential Equations of Lane-Emden Type by an Accurate Technique
| dc.contributor.author | Inc, Mustafa | |
| dc.contributor.author | Karatas, Esra | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Akgul, Ali | |
| dc.date.accessioned | 2017-03-17T10:40:41Z | |
| dc.date.accessioned | 2025-09-18T12:49:14Z | |
| dc.date.available | 2017-03-17T10:40:41Z | |
| dc.date.available | 2025-09-18T12:49:14Z | |
| dc.date.issued | 2015 | |
| dc.description.abstract | In 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. | en_US |
| dc.identifier.citation | Akgül, A...et al. (2015). Numerical solutions of fractional differential equations of Lane-Emden type by an accurate technique. Advance in Difference Equations. http://dx.doi.org/10.1186/s13662-015-0558-8 | en_US |
| dc.identifier.doi | 10.1186/s13662-015-0558-8 | |
| dc.identifier.issn | 1687-1847 | |
| dc.identifier.scopus | 2-s2.0-84937912448 | |
| dc.identifier.uri | https://doi.org/10.1186/s13662-015-0558-8 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/12302 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer international Publishing Ag | en_US |
| dc.relation.ispartof | Advances in Difference Equations | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Reproducing Kernel Method | en_US |
| dc.subject | Fractional Differential Equations | en_US |
| dc.subject | Lane-Emden Differential Equations | en_US |
| dc.title | Numerical Solutions of Fractional Differential Equations of Lane-Emden Type by an Accurate Technique | en_US |
| dc.title | Numerical solutions of fractional differential equations of Lane-Emden type by an accurate technique | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.wosid | Akgül, Ali/F-3909-2019 | |
| gdc.author.wosid | Inc, Mustafa/C-4307-2018 | |
| gdc.author.wosid | Karataş, Esra/Jxw-6206-2024 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Akgul, Ali] Siirt Univ, Art & Sci Fac, Dept Math, Siirt, Turkey; [Inc, Mustafa] Firat Univ, Fac Sci, Dept Math, TR-23119 Elazig, Turkey; [Karatas, Esra] Canakkale Onsekiz Mart Univ, Dept Math, TR-17100 Canakkale, Turkey; [Baleanu, Dumitru] Cankaya Univ, Fac Arts & Sci, Dept Math & Comp Sci, TR-23119 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Dept Math, Bucharest, Romania | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.volume | 2015 | |
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| gdc.oaire.keywords | Algebra and Number Theory | |
| gdc.oaire.keywords | Applied Mathematics | |
| gdc.oaire.keywords | fractional differential equations | |
| gdc.oaire.keywords | reproducing kernel method | |
| gdc.oaire.keywords | Analysis | |
| gdc.oaire.keywords | Lane-Emden differential equations | |
| gdc.oaire.keywords | Fractional ordinary differential equations | |
| gdc.oaire.keywords | Fractional partial differential equations | |
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| gdc.virtual.author | Baleanu, Dumitru | |
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