Fractional Systems With Multi-Parameters Fractional Derivatives
| dc.contributor.author | Muslih, S.I. | |
| dc.contributor.author | Agrawal, O.P. | |
| dc.contributor.author | Baleanu, D. | |
| dc.date.accessioned | 2025-06-05T21:56:28Z | |
| dc.date.accessioned | 2025-09-18T12:49:01Z | |
| dc.date.available | 2025-06-05T21:56:28Z | |
| dc.date.available | 2025-09-18T12:49:01Z | |
| dc.date.issued | 2025 | |
| dc.description.abstract | Recently, a generalization of fractional variational formulations in terms of multiparameter fractional derivatives was introduced by Agrawal and Muslih. This treatment can be used to obtain the Lagrangian and Hamiltonian equations of motion. In this paper, we also extend our work to introduce the generalization of the formulation for constrained mechanical systems containing multi-parameter fractional derivatives. Three examples for regular and constrained fractional systems are analyzed. © The Author(s) 2025. | en_US |
| dc.description.sponsorship | Scholar Rescue Fund, Institute of International Education; Physics Department, University of Michigan | en_US |
| dc.identifier.doi | 10.1007/s10773-025-06030-5 | |
| dc.identifier.issn | 0020-7748 | |
| dc.identifier.issn | 1572-9575 | |
| dc.identifier.scopus | 2-s2.0-105006803127 | |
| dc.identifier.uri | https://doi.org/10.1007/s10773-025-06030-5 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/12228 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer | en_US |
| dc.relation.ispartof | International Journal of Theoretical Physics | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Caputo Fractional Derivatives | en_US |
| dc.subject | Fractional Calculus | en_US |
| dc.subject | Multi-Parameters Fractional Derivatives | en_US |
| dc.subject | Riemann-Liouville | en_US |
| dc.title | Fractional Systems With Multi-Parameters Fractional Derivatives | en_US |
| dc.type | Article | en_US |
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| gdc.author.institutional | Baleanu, Dumitru | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Muslih S.I.] University of Illinois at Urbana Champaign, Urbana, IL, United States, Al-Azhar University-Gaza, Gaza, Palestine; [Agrawal O.P.] Southern Illinois University, Carbondale, 62901, IL, United States; [Baleanu D.] Cankaya University, Ankara, Turkey | en_US |
| gdc.description.issue | 6 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q2 | |
| gdc.description.volume | 64 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
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| gdc.oaire.keywords | Riemann-Liouville | |
| gdc.oaire.keywords | Quantum theory | |
| gdc.oaire.keywords | Relativity and gravitational theory | |
| gdc.oaire.keywords | multi-parameters fractional derivatives | |
| gdc.oaire.keywords | fractional calculus | |
| gdc.oaire.keywords | Caputo fractional derivatives | |
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