Is It Possible To Derive Newtonian Equations of Motion With Memory
| dc.contributor.author | Baleanu, D. | |
| dc.contributor.author | Nigmatullin, R. R. | |
| dc.date.accessioned | 2016-06-07T07:10:29Z | |
| dc.date.accessioned | 2025-09-18T12:08:20Z | |
| dc.date.available | 2016-06-07T07:10:29Z | |
| dc.date.available | 2025-09-18T12:08:20Z | |
| dc.date.issued | 2010 | |
| dc.description.abstract | In this paper for a given example we proved that the Riemann-Liouville fractional integral term appears naturally and relates the external force with acceleration within the fractional Newtonian equation. The consideration of some self-similar process that leads to the fractional integral as well as some possible generalizations of the proposed model was discussed. | en_US |
| dc.description.sponsorship | Russian Ministry of Science and education; Russian Scientific Potential of the Leading Higher Schools [2.1.1.4012] | en_US |
| dc.description.sponsorship | One of us (RRN) wants to express his sincere acknowledgments to the grant of Russian Ministry of Science and education for their financial support. This work was done in the frame of the grant: "Russian Scientific Potential of the Leading Higher Schools. Number of grant: 2.1.1.4012". | en_US |
| dc.identifier.citation | Nigmatullin, R.R., Baleanu, D. (2010). Is It Possible to Derive Newtonian Equations of Motion with Memory?. International Journal of Theoretical Physics, 49(4), 701-708. http://dx.doi.org/10.1007/s10773-010-0249-x | en_US |
| dc.identifier.doi | 10.1007/s10773-010-0249-x | |
| dc.identifier.issn | 0020-7748 | |
| dc.identifier.issn | 1572-9575 | |
| dc.identifier.scopus | 2-s2.0-77951983849 | |
| dc.identifier.uri | https://doi.org/10.1007/s10773-010-0249-x | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/11105 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer/plenum Publishers | en_US |
| dc.relation.ispartof | International Journal of Theoretical Physics | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Fractional Calculus | en_US |
| dc.subject | Newtonian Equation | en_US |
| dc.subject | Riemann-Liouville Fractional Integral | en_US |
| dc.title | Is It Possible To Derive Newtonian Equations of Motion With Memory | en_US |
| dc.title | Is It Possible to Derive Newtonian Equations of Motion with Memory? | tr_TR |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
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| gdc.author.wosid | Nigmatullin, Raoul/Aao-5504-2020 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Baleanu, D.] Cankaya Univ, Dept Math & Comp Sci, TR-06530 Ankara, Turkey; [Nigmatullin, R. R.] Kazan VI Lenin State Univ, Dept Theoret Phys, Kazan 420008, Tatarstan, Russia; [Baleanu, D.] Inst Space Sci, Magurele, Romania | en_US |
| gdc.description.endpage | 708 | en_US |
| gdc.description.issue | 4 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q2 | |
| gdc.description.startpage | 701 | en_US |
| gdc.description.volume | 49 | en_US |
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| gdc.oaire.keywords | Fractional calculus | |
| gdc.oaire.keywords | Riemann-Liouville fractional integral | |
| gdc.oaire.keywords | Newtonian equation | |
| gdc.oaire.keywords | 510 | |
| gdc.oaire.keywords | 004 | |
| gdc.oaire.keywords | Approximation procedures, weak fields in general relativity and gravitational theory | |
| gdc.oaire.keywords | Equations of motion in general relativity and gravitational theory | |
| gdc.oaire.keywords | fractional calculus | |
| gdc.oaire.keywords | Fractional partial differential equations | |
| gdc.oaire.keywords | Explicit solutions, first integrals of ordinary differential equations | |
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| gdc.virtual.author | Baleanu, Dumitru | |
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