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A new generalization of the fractional Euler-Lagrange equation for a vertical mass-spring-damper

dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorUllah, Malik Zaka
dc.contributor.authorMallawi, Fouad
dc.contributor.authorAlshomrani, Ali Saleh
dc.contributor.authorID56389tr_TR
dc.date.accessioned2022-03-01T11:58:14Z
dc.date.available2022-03-01T11:58:14Z
dc.date.issued2021
dc.departmentÇankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn this new study, we investigate the motion of a forced mass-spring-damper in a vertical position. First, the classical Lagrangian as well as the classical Euler-Lagrange equation of motion are constructed. Then the fractional Euler-Lagrange equation is derived by extending the classical Lagrangian in the fractional sense. In this extension, a new form of the fractional derivative is employed including a general function as its kernel. The derived fractional Euler-Lagrange equation is then converted into a system of linear algebraic equation by designing an efficient matrix approximation approach. The numerical findings are reported verifying the theoretical investigations. According to the results, some remarkable thinks are achieved; indeed, the numerical simulations show that different aspects of the system under study can be explored with regard to the flexibility found in selecting the kernel contrary to the traditional fractional models.en_US
dc.description.publishedMonth11
dc.identifier.citationBaleanu, Dumitru...et al. (2021). "A new generalization of the fractional Euler-Lagrange equation for a vertical mass-spring-damper", Journal of Vibration and Control, Vol. 27, No. 21-22, pp. 2513-2522.en_US
dc.identifier.doi10.1177/1077546320961685
dc.identifier.endpage2522en_US
dc.identifier.issn1077-5463
dc.identifier.issue21-22en_US
dc.identifier.startpage2513en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/5053
dc.identifier.volume27en_US
dc.language.isoenen_US
dc.relation.ispartofJournal of Vibration and Controlen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectMass-Spring-Damperen_US
dc.subjectVertical Positionen_US
dc.subjectFractional Euler-Lagrange Equationen_US
dc.subjectGeneral Derivativeen_US
dc.subjectNumerical Methoden_US
dc.titleA new generalization of the fractional Euler-Lagrange equation for a vertical mass-spring-dampertr_TR
dc.titleA New Generalization of the Fractional Euler-Lagrange Equation for a Vertical Mass-Springen_US
dc.typeArticleen_US
dspace.entity.typePublication

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