Fractional Time Action and Perturbed Gravity
| dc.contributor.author | Muslih, Sami I. | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Rabei, Eqab | |
| dc.contributor.author | Sadallah, Madhat | |
| dc.date.accessioned | 2016-08-10T08:33:47Z | |
| dc.date.accessioned | 2025-09-18T14:09:47Z | |
| dc.date.available | 2016-08-10T08:33:47Z | |
| dc.date.available | 2025-09-18T14:09:47Z | |
| dc.date.issued | 2011 | |
| dc.description.abstract | In this paper, we used the scaling concepts of Mandelbrot of fractals in variational problems of mechanical systems in order to re-write the action integral function as an integration over the fractional time. In addition, by applying the variational principle to this new fractional action, we obtained the modified Euler-Lagrange equations of motion in any fractional time of order 0 < alpha <= 1. Two examples are investigated in detail. | en_US |
| dc.description.sponsorship | Department of Mechanical Engineering and Energy Processes (MEEP); Southern Illinois University-Carbondale, IL, USA | en_US |
| dc.description.sponsorship | One of the authors S.M. would like to thank the Department of Mechanical Engineering and Energy Processes (MEEP) for financial support and providing the necessary facilities. Also he would like to thank the Dean of Graduate Studies at Southern Illinois University-Carbondale, IL, USA for financial support. | en_US |
| dc.identifier.citation | Sadallah, M...et al. (2011). Fractional time action and perturbed gravity. Fractals-Complex Geometry Patterns and Scaling In Nature and Society, 19(2), 243-247. http://dx.doi.org/10.1142/S0218348X11005294 | en_US |
| dc.identifier.doi | 10.1142/S0218348X11005294 | |
| dc.identifier.issn | 0218-348X | |
| dc.identifier.issn | 1793-6543 | |
| dc.identifier.scopus | 2-s2.0-79956223884 | |
| dc.identifier.uri | https://doi.org/10.1142/S0218348X11005294 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/13480 | |
| dc.language.iso | en | en_US |
| dc.publisher | World Scientific Publ Co Pte Ltd | en_US |
| dc.relation.ispartof | Fractals | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Fractional Calculus | en_US |
| dc.subject | Fractional Derivatives | en_US |
| dc.subject | Fractional Variational Principle | en_US |
| dc.title | Fractional Time Action and Perturbed Gravity | en_US |
| dc.title | Fractional time action and perturbed gravity | tr_TR |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.scopusid | 13407110900 | |
| gdc.author.scopusid | 7003657106 | |
| gdc.author.scopusid | 7005872966 | |
| gdc.author.scopusid | 6602156175 | |
| gdc.author.wosid | Muslih, Sami/Aaf-4974-2020 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.bip.impulseclass | C5 | |
| gdc.bip.influenceclass | C4 | |
| gdc.bip.popularityclass | C5 | |
| gdc.coar.access | metadata only access | |
| gdc.coar.type | text::journal::journal article | |
| gdc.collaboration.industrial | false | |
| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Muslih, Sami I.] So Illinois Univ, Dept Mech Engn, Carbondale, IL 62901 USA; [Baleanu, Dumitru] Cankaya Univ, Dept Math & Comp Sci, Fac Arts & Sci, TR-06530 Ankara, Turkey; [Rabei, Eqab] Al al Bayt Univ, Dept Phys, Mafraq 25113, Iran | en_US |
| gdc.description.endpage | 247 | en_US |
| gdc.description.issue | 2 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q1 | |
| gdc.description.startpage | 243 | en_US |
| gdc.description.volume | 19 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.description.wosquality | Q1 | |
| gdc.identifier.openalex | W2037892185 | |
| gdc.identifier.wos | WOS:000290736200011 | |
| gdc.index.type | WoS | |
| gdc.index.type | Scopus | |
| gdc.oaire.diamondjournal | false | |
| gdc.oaire.impulse | 2.0 | |
| gdc.oaire.influence | 3.3409129E-9 | |
| gdc.oaire.isgreen | false | |
| gdc.oaire.keywords | Fractals | |
| gdc.oaire.keywords | fractional derivatives | |
| gdc.oaire.keywords | fractional variational principle | |
| gdc.oaire.keywords | fractional calculus | |
| gdc.oaire.popularity | 2.394626E-9 | |
| gdc.oaire.publicfunded | false | |
| gdc.oaire.sciencefields | 0101 mathematics | |
| gdc.oaire.sciencefields | 01 natural sciences | |
| gdc.openalex.collaboration | International | |
| gdc.openalex.fwci | 0.4581 | |
| gdc.openalex.normalizedpercentile | 0.62 | |
| gdc.opencitations.count | 8 | |
| gdc.plumx.crossrefcites | 5 | |
| gdc.plumx.mendeley | 7 | |
| gdc.plumx.scopuscites | 7 | |
| gdc.publishedmonth | 6 | |
| gdc.scopus.citedcount | 8 | |
| gdc.virtual.author | Baleanu, Dumitru | |
| gdc.wos.citedcount | 8 | |
| relation.isAuthorOfPublication | f4fffe56-21da-4879-94f9-c55e12e4ff62 | |
| relation.isAuthorOfPublication.latestForDiscovery | f4fffe56-21da-4879-94f9-c55e12e4ff62 | |
| relation.isOrgUnitOfPublication | 26a93bcf-09b3-4631-937a-fe838199f6a5 | |
| relation.isOrgUnitOfPublication | 28fb8edb-0579-4584-a2d4-f5064116924a | |
| relation.isOrgUnitOfPublication | 0b9123e4-4136-493b-9ffd-be856af2cdb1 | |
| relation.isOrgUnitOfPublication.latestForDiscovery | 26a93bcf-09b3-4631-937a-fe838199f6a5 |