A Fractional Lagrangian Approach for Two Masses With Linear and Cubic Nonlinear Stiffness
| dc.contributor.author | Baleanu, D. | |
| dc.contributor.author | Jajarmi, A. | |
| dc.contributor.author | Wannan, R. | |
| dc.contributor.author | Asad, J. | |
| dc.contributor.author | Defterli, O. | |
| dc.contributor.authorID | 31401 | tr_TR |
| dc.contributor.authorID | 56389 | tr_TR |
| dc.contributor.other | 02.02. Matematik | |
| dc.contributor.other | 02. Fen-Edebiyat Fakültesi | |
| dc.contributor.other | 01. Çankaya Üniversitesi | |
| dc.date.accessioned | 2024-01-29T13:46:43Z | |
| dc.date.accessioned | 2025-09-18T15:43:45Z | |
| dc.date.available | 2024-01-29T13:46:43Z | |
| dc.date.available | 2025-09-18T15:43:45Z | |
| dc.date.issued | 2023 | |
| dc.description.abstract | In this manuscript, the fractional dynamics of the two-mass spring system with two kinds of stiffness, namely linear and strongly nonlinear, are investigated. The corresponding fractional Euler-Lagrange equations of the system are derived being a system of two-coupled fractional differential equations with strong cubic nonlinear term. The numerical results of the system are obtained using Euler's approximation method and simulated with respect to the different values of the model parameters as mass, stiffness and order of the fractional derivative in use. The interpretation of the approximate results of the so-called generalized two-mass spring system is discussed via the fractional order. © 2023 IEEE. | en_US |
| dc.identifier.citation | Defterli, Ö.;...et.al. "A Fractional Lagrangian Approach for Two Masses with Linear and Cubic Nonlinear Stiffness", 2023 International Conference on Fractional Differentiation and Its Applications, ICFDA 2023, Proceedings, 2023. | en_US |
| dc.identifier.doi | 10.1109/ICFDA58234.2023.10153247 | |
| dc.identifier.isbn | 9798350321685 | |
| dc.identifier.scopus | 2-s2.0-85164535598 | |
| dc.identifier.uri | https://doi.org/10.1109/ICFDA58234.2023.10153247 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/14036 | |
| dc.language.iso | en | en_US |
| dc.publisher | Institute of Electrical and Electronics Engineers Inc. | en_US |
| dc.relation.ispartof | 2023 International Conference on Fractional Differentiation and Its Applications, ICFDA 2023 -- 2023 International Conference on Fractional Differentiation and Its Applications, ICFDA 2023 -- 14 March 2023 through 16 March 2023 -- Ajman -- 189775 | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Euler'S Approximation | en_US |
| dc.subject | Euler-Lagrange Formulation | en_US |
| dc.subject | Fractional Calculus | en_US |
| dc.subject | Nonlinear Springs | en_US |
| dc.title | A Fractional Lagrangian Approach for Two Masses With Linear and Cubic Nonlinear Stiffness | en_US |
| dc.title | A Fractional Lagrangian Approach for Two Masses with Linear and Cubic Nonlinear Stiffness | tr_TR |
| dc.type | Conference Object | en_US |
| dspace.entity.type | Publication | |
| gdc.author.institutional | Baleanu, Dumitru | |
| gdc.author.institutional | Defterli, Özlem | |
| gdc.author.scopusid | 34880044900 | |
| gdc.author.scopusid | 57208256299 | |
| gdc.author.scopusid | 8898843900 | |
| gdc.author.scopusid | 8546136600 | |
| gdc.author.scopusid | 7005872966 | |
| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | Defterli O., Cankaya University, Department of Mathematics, Ankara, Turkey; Baleanu D., Cankaya University, Department of Mathematics, Ankara, Turkey, Institute of Space Sciences, Magurele, Bucharest, Romania; Jajarmi A., University of Bojnord, Department of Electrical Engineering, Bojnord, Iran; Wannan R., Palestine Technical University, Department of Applied Mathematics, Tulkarm, Palestine; Asad J., Palestine Techical University, Department of Physics, Tulkarm, Palestine | en_US |
| gdc.description.publicationcategory | Konferans Öğesi - Uluslararası - Kurum Öğretim Elemanı | en_US |
| gdc.identifier.openalex | W4381328896 | |
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| gdc.opencitations.count | 0 | |
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| gdc.scopus.citedcount | 1 | |
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