Nonlinear Dynamics and Chaos in Fractional Differential Equations With a New Generalized Caputo Fractional Derivative
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Odibat, Zaid | |
| dc.date.accessioned | 2024-04-25T07:44:00Z | |
| dc.date.accessioned | 2025-09-18T16:07:11Z | |
| dc.date.available | 2024-04-25T07:44:00Z | |
| dc.date.available | 2025-09-18T16:07:11Z | |
| dc.date.issued | 2022 | |
| dc.description.abstract | In this paper, novel systems of fractional differential equations involving a new generalized Caputo fractional derivative were proposed. The complex dynamic behavior of these systems was studied by numerical simulation. Nonlinear dynamics and chaos in hybrid fractional order systems were investigated using a predictor-corrector algorithm. In particular, the effect of the new generalized fractional derivative parameters on the dynamics of the proposed systems was discussed. The rich variation obtained from the characteristics of the studied systems recommends the implementation of the new generalized derivative in fractional calculus applications. | en_US |
| dc.identifier.citation | Odibat, Zaid; Baleanu, Dumitru. (2022). "Nonlinear dynamics and chaos in fractional differential equations with a new generalized Caputo fractional derivative", Chinese Journal of Physics, Vol.77, pp.1003-1014. | en_US |
| dc.identifier.doi | 10.1016/j.cjph.2021.08.018 | |
| dc.identifier.issn | 0577-9073 | |
| dc.identifier.scopus | 2-s2.0-85126352593 | |
| dc.identifier.uri | https://doi.org/10.1016/j.cjph.2021.08.018 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/14686 | |
| dc.language.iso | en | en_US |
| dc.publisher | Elsevier | en_US |
| dc.relation.ispartof | Chinese Journal of Physics | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Generalized Derivative | en_US |
| dc.subject | Caputo Derivative | en_US |
| dc.subject | Predictor-Corrector | en_US |
| dc.subject | Chaos | en_US |
| dc.subject | Numerical Solution | en_US |
| dc.title | Nonlinear Dynamics and Chaos in Fractional Differential Equations With a New Generalized Caputo Fractional Derivative | en_US |
| dc.title | Nonlinear dynamics and chaos in fractional differential equations with a new generalized Caputo fractional derivative | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.wosid | Odibat, Zaid/K-7229-2015 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Odibat, Zaid] Al Balqa Appl Univ, Fac Sci, Dept Math, Salt 19117, Jordan; [Baleanu, Dumitru] Cankaya Univ, Fac Arts & Sci, Dept Math, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan; [Baleanu, Dumitru] Inst Space Sci, Bucharest, Romania | en_US |
| gdc.description.endpage | 1014 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 1003 | en_US |
| gdc.description.volume | 77 | en_US |
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