Spectral Method for Solution of the Fractional Transport Equation
| dc.contributor.author | Luchko, Yury | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Kadem, Abdelouahab | |
| dc.date.accessioned | 2016-06-10T09:03:45Z | |
| dc.date.accessioned | 2025-09-18T12:08:40Z | |
| dc.date.available | 2016-06-10T09:03:45Z | |
| dc.date.available | 2025-09-18T12:08:40Z | |
| dc.date.issued | 2010 | |
| dc.description.abstract | In this paper, the Chebyshev polynomials expansion method is applied to find both an analytical solution of the fractional transport equation in the one-dimensional plane geometry and its numerical approximations. The idea of the method is in reducing of the fractional transport equation to a system of the linear fractional differential equations for the unknown coefficients of the Chebyshev polynomials expansion. The obtained system of equations is then solved by using the operational method for the Caputo fractional derivative. | en_US |
| dc.identifier.citation | Kadem, A., Luchko, Y., Baleanu, D. (2010). Spectral method for solution of the fractional transport equation. Reports On Mathematical Physics, 66(1), 103-115. | en_US |
| dc.identifier.doi | 10.1016/S0034-4877(10)80026-6 | |
| dc.identifier.issn | 0034-4877 | |
| dc.identifier.scopus | 2-s2.0-79953720501 | |
| dc.identifier.uri | https://doi.org/10.1016/S0034-4877(10)80026-6 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/11174 | |
| dc.language.iso | en | en_US |
| dc.publisher | Pergamon-elsevier Science Ltd | en_US |
| dc.relation.ispartof | Reports on Mathematical Physics | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Fractional Calculus | en_US |
| dc.subject | Fractional Transport Equation | en_US |
| dc.subject | Chebyshev Polynomials | en_US |
| dc.title | Spectral Method for Solution of the Fractional Transport Equation | en_US |
| dc.title | Spectral method for solution of the fractional transport equation | tr_TR |
| dc.type | Article | en_US |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Kadem, Abdelouahab] Univ Setif, Dept Math, LMFN, Setif, Algeria; [Luchko, Yury] Tech Univ Appl Sci Berlin, Dept Math 2, Berlin, Germany; [Baleanu, Dumitru] Cankaya Univ, Balgat Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, R-76900 Magurele, Romania | en_US |
| gdc.description.endpage | 115 | en_US |
| gdc.description.issue | 1 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q3 | |
| gdc.description.startpage | 103 | en_US |
| gdc.description.volume | 66 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
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| gdc.oaire.keywords | Transport processes in time-dependent statistical mechanics | |
| gdc.oaire.keywords | fractional transport equation | |
| gdc.oaire.keywords | fractional calculus | |
| gdc.oaire.keywords | Chebyshev polynomials | |
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