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Fractional time action and perturbed gravity

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dc.authorscopusid 13407110900
dc.authorscopusid 7003657106
dc.authorscopusid 7005872966
dc.authorscopusid 6602156175
dc.authorwosid Muslih, Sami/Aaf-4974-2020
dc.authorwosid Baleanu, Dumitru/B-9936-2012
dc.contributor.author Sadallah, Madhat
dc.contributor.author Baleanu, Dumitru
dc.contributor.author Muslih, Sami I.
dc.contributor.author Baleanu, Dumitru
dc.contributor.author Rabei, Eqab
dc.contributor.other Matematik
dc.date.accessioned 2016-08-10T08:33:47Z
dc.date.available 2016-08-10T08:33:47Z
dc.date.issued 2011
dc.department Çankaya University en_US
dc.department-temp [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
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.publishedMonth 6
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.description.woscitationindex Science Citation Index Expanded
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.endpage 247 en_US
dc.identifier.issn 0218-348X
dc.identifier.issn 1793-6543
dc.identifier.issue 2 en_US
dc.identifier.scopus 2-s2.0-79956223884
dc.identifier.scopusquality Q1
dc.identifier.startpage 243 en_US
dc.identifier.uri https://doi.org/10.1142/S0218348X11005294
dc.identifier.volume 19 en_US
dc.identifier.wos WOS:000290736200011
dc.identifier.wosquality N/A
dc.language.iso en en_US
dc.publisher World Scientific Publ Co Pte Ltd en_US
dc.relation.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
dc.rights info:eu-repo/semantics/closedAccess en_US
dc.scopus.citedbyCount 8
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 tr_TR
dc.title Fractional Time Action and Perturbed Gravity en_US
dc.type Article en_US
dc.wos.citedbyCount 8
dspace.entity.type Publication
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relation.isAuthorOfPublication.latestForDiscovery f4fffe56-21da-4879-94f9-c55e12e4ff62
relation.isOrgUnitOfPublication 26a93bcf-09b3-4631-937a-fe838199f6a5
relation.isOrgUnitOfPublication.latestForDiscovery 26a93bcf-09b3-4631-937a-fe838199f6a5

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