A Fractional Variational Approach To the Fractional Basset-Type Equation
| dc.contributor.author | Garra, Roberto | |
| dc.contributor.author | Petras, Ivo | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.date.accessioned | 2020-04-28T21:28:58Z | |
| dc.date.accessioned | 2025-09-18T13:26:23Z | |
| dc.date.available | 2020-04-28T21:28:58Z | |
| dc.date.available | 2025-09-18T13:26:23Z | |
| dc.date.issued | 2013 | |
| dc.description | Garra, Roberto/0000-0003-0260-7095; Petras, Ivo/0000-0002-9250-6986 | en_US |
| dc.description.abstract | In this paper we discuss an application of fractional variational calculus to the Basset-type fractional equations. It is well known that the unsteady motion of a sphere immersed in a Stokes fluid is described by an integro-differential equation involving derivative of real order. Here we study the inverse problem, i.e. we consider the problem from a Lagrangian point of view in the framework of fractional variational calculus. In this way we find an application of fractional variational methods to a classical physical model, finding a Basset-type fractional equation starting from a Lagrangian depending on derivatives of fractional order. | en_US |
| dc.description.sponsorship | The work of Ivo Petras was supported in part by the Slovak Grant Agency for Science under grants VEGA: 1/0729/12, 1/0497/11, 1/0746/11, and grant APVV-0482-11. | en_US |
| dc.description.sponsorship | Slovak Grant Agency for Science [VEGA: 1/0729/12, 1/0497/11, 1/0746/11, APVV-0482-11] | en_US |
| dc.identifier.citation | Baleanu, Dumitru; Garra, R.; Petras, I. "A Fractional Variational Approach to the Fractional Basset-Type Equation", Reports On Mathematical Physics, Vol. 72, No. 1, pp. 57-64, (2013). | en_US |
| dc.identifier.doi | 10.1016/S0034-4877(14)60004-5 | |
| dc.identifier.issn | 0034-4877 | |
| dc.identifier.scopus | 2-s2.0-84893437244 | |
| dc.identifier.uri | https://doi.org/10.1016/S0034-4877(14)60004-5 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/12591 | |
| 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 | Basset Equation | en_US |
| dc.subject | Fractional Calculus | en_US |
| dc.subject | Calculus Of Variations | en_US |
| dc.title | A Fractional Variational Approach To the Fractional Basset-Type Equation | en_US |
| dc.title | A Fractional Variational Approach to the Fractional Basset-Type Equation | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Garra, Roberto/0000-0003-0260-7095 | |
| gdc.author.id | Petras, Ivo/0000-0002-9250-6986 | |
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| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Garra, Roberto/Abc-8158-2020 | |
| gdc.author.wosid | Petras, Ivo/B-1393-2009 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Baleanu, Dumitru] Cankaya Univ, Fac Arts & Sci, Dept Math & Comp Sci, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele, Romania; [Baleanu, Dumitru] King Abdulaziz Univ, Fac Engn, Dept Chem & Mat Engn, Jeddah 21413, Saudi Arabia; [Garra, Roberto] Dipartimento Sci Base Applicate Ingn, I-00161 Rome, Italy; [Petras, Ivo] Tech Univ Kosice, Fac BERG, Kosice 04200, Slovakia | en_US |
| gdc.description.endpage | 64 | en_US |
| gdc.description.issue | 1 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 57 | en_US |
| gdc.description.volume | 72 | en_US |
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| gdc.oaire.keywords | basset equation; calculus of variations; fractional calculus | |
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