The Dynamic and Discrete Systems of Variable Fractional Order in the Sense of the Lozi Structure Map
| dc.contributor.author | Natiq, Hayder | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Ibrahim, Rabha W. | |
| dc.contributor.author | Al-Saidi, Nadia M. G. | |
| dc.date.accessioned | 2024-01-23T13:33:46Z | |
| dc.date.accessioned | 2025-09-18T13:27:55Z | |
| dc.date.available | 2024-01-23T13:33:46Z | |
| dc.date.available | 2025-09-18T13:27:55Z | |
| dc.date.issued | 2022 | |
| dc.description.abstract | The variable fractional Lozi map (VFLM) and the variable fractional flow map are two separate systems that we propose in this inquiry. We study several key dynamics of these maps. We also investigate the sufficient and necessary requirements for the stability and asymptotic stability of the variable fractional dynamic systems. As a result, we provide VFLM with the necessary criteria to produce stable and asymptotically stable zero solutions. Furthermore, we propose a combination of these maps in control rules intended to stabilize the system. In this analysis, we take the 1D-and 2D-controller laws as givens. | en_US |
| dc.identifier.citation | Al-Saidi, Nadia M. G.;...et. al. (2023). "The dynamic and discrete systems of variable fractional order in the sense of the Lozi structure map", AIMS Mathematics, Vol.8, No.1, pp.733-751. | en_US |
| dc.identifier.doi | 10.3934/math.2023035 | |
| dc.identifier.issn | 2473-6988 | |
| dc.identifier.scopus | 2-s2.0-85139490032 | |
| dc.identifier.uri | https://doi.org/10.3934/math.2023035 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/13078 | |
| dc.language.iso | en | en_US |
| dc.publisher | Amer inst Mathematical Sciences-aims | en_US |
| dc.relation.ispartof | AIMS Mathematics | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Fractional Calculus | en_US |
| dc.subject | Discrete System | en_US |
| dc.subject | Variable Fractional Differential Operators | en_US |
| dc.subject | Lozi System | en_US |
| dc.subject | Fractional Differential Equation | en_US |
| dc.title | The Dynamic and Discrete Systems of Variable Fractional Order in the Sense of the Lozi Structure Map | en_US |
| dc.title | The dynamic and discrete systems of variable fractional order in the sense of the Lozi structure map | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.wosid | Al-Saidi, Nadia M. G./Q-8261-2019 | |
| gdc.author.wosid | Ibrahim, Rabha/D-3312-2017 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Natiq, Hayder/Aao-7283-2020 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Al-Saidi, Nadia M. G.] Univ Technol Baghdad, Dept Appl Sci, Baghdad 10066, Iraq; [Natiq, Hayder] Imam Jaafar Al Sadiq Univ, Informat Technol Coll, Baghdad 10001, Iraq; [Baleanu, Dumitru] Cankaya Univ, Dept Math, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Bucharest R-76900, Romania; [Baleanu, Dumitru] China Med Univ, Dept Med Res, Taichung 40402, Taiwan; [Ibrahim, Rabha W.] Near East Univ, Math Res Ctr, Dept Math, Near East Blvd, Mersin 10, Nicosia, Turkey | en_US |
| gdc.description.endpage | 751 | en_US |
| gdc.description.issue | 1 | en_US |
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