Solution of a Fractional Transport Equation by Using the Generalized Quadratic Form
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Kadem, Abdelouahab | |
| dc.date.accessioned | 2016-08-09T07:07:04Z | |
| dc.date.accessioned | 2025-09-18T16:07:58Z | |
| dc.date.available | 2016-08-09T07:07:04Z | |
| dc.date.available | 2025-09-18T16:07:58Z | |
| dc.date.issued | 2011 | |
| dc.description.abstract | In this manuscript the one dimensional fractional transport equation in which the prescribed source and angular flux are spatially quadratic is investigated within the generalized quadratic form method. It is reported that the angular flux satisfies Fick's law and the corresponding scalar flux satisfies the fractional generalization of the classic diffusion equation. (C) 2010 Elsevier B.V. All rights reserved. | en_US |
| dc.identifier.citation | Abdelouahab, K., Baleanu, D. (2011). Solution of a fractional transport equation by using the generalized quadratic form. Communications In Nonlinear Science And Numerical Simulation, 16(8), 3011-3014. http://dx.doi.org/10.1016/j.cnsns.2010.10.032 | en_US |
| dc.identifier.doi | 10.1016/j.cnsns.2010.10.032 | |
| dc.identifier.issn | 1007-5704 | |
| dc.identifier.scopus | 2-s2.0-79952536080 | |
| dc.identifier.uri | https://doi.org/10.1016/j.cnsns.2010.10.032 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/14919 | |
| dc.language.iso | en | en_US |
| dc.publisher | Elsevier Science Bv | en_US |
| dc.relation.ispartof | Communications in Nonlinear Science and Numerical Simulation | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Caputo Fractional Derivative | en_US |
| dc.subject | Fractional Transport Equations | en_US |
| dc.subject | Generalized Quadratic Form | en_US |
| dc.subject | Fick'S Law | en_US |
| dc.title | Solution of a Fractional Transport Equation by Using the Generalized Quadratic Form | en_US |
| dc.title | Solution of a fractional transport equation by using the generalized quadratic form | tr_TR |
| dc.type | Article | en_US |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Baleanu, Dumitru] Cankaya Univ, Dept Math & Comp Sci, Fac Arts & Sci, TR-06530 Ankara, Turkey; [Kadem, Abdelouahab] Univ Setif, Lab Fundamental & Numer Math, Dept Math, Setif 19000, Algeria | en_US |
| gdc.description.endpage | 3014 | en_US |
| gdc.description.issue | 8 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q1 | |
| gdc.description.startpage | 3011 | en_US |
| gdc.description.volume | 16 | en_US |
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| gdc.oaire.keywords | Fick's law | |
| gdc.oaire.keywords | Integro-ordinary differential equations | |
| gdc.oaire.keywords | Caputo fractional derivative | |
| gdc.oaire.keywords | fractional transport equations | |
| gdc.oaire.keywords | Fractional derivatives and integrals | |
| gdc.oaire.keywords | generalized quadratic form method | |
| gdc.oaire.keywords | Transport processes in time-dependent statistical mechanics | |
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