Chaotic Attractors With Fractional Conformable Derivatives in the Liouville-Caputo Sense and Its Dynamical Behaviors
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Tchier, Fairouz | |
| dc.contributor.author | Solis Perez, Jesus Emmanuel | |
| dc.contributor.author | Francisco Gomez-Aguilar, Jose | |
| dc.date.accessioned | 2019-12-20T12:35:39Z | |
| dc.date.accessioned | 2025-09-18T12:47:45Z | |
| dc.date.available | 2019-12-20T12:35:39Z | |
| dc.date.available | 2025-09-18T12:47:45Z | |
| dc.date.issued | 2018 | |
| dc.description | Gomez-Aguilar, J.F./0000-0001-9403-3767; Tchier, Fairouz/0000-0001-7855-508X; Solis-Perez, Jesus Emmanuel/0000-0002-4729-9949 | en_US |
| dc.description.abstract | This paper deals with a numerical simulation of fractional conformable attractors of type Rabinovich-Fabrikant, Thomas' cyclically symmetric attractor and Newton-Leipnik. Fractional conformable and beta-conformable derivatives of Liouville-Caputo type are considered to solve the proposed systems. A numerical method based on the Adams-Moulton algorithm is employed to approximate the numerical simulations of the fractional-order conformable attractors. The results of the new type of fractional conformable and beta-conformable attractors are provided to illustrate the effectiveness of the proposed method. | en_US |
| dc.description.sponsorship | Research Center of the Female Scientific and Medical Colleges. Deanship of Scientific Research, King Saud University; CONACyT through the assignment doctoral fellowship; CONACyT: catedras CONACyT para jovenes investigadores 2014; SNI-CONACyT | en_US |
| dc.description.sponsorship | The authors appreciate the constructive remarks and suggestions of the anonymous referees that helped to improve the paper. This research project was supported by a grant from the "Research Center of the Female Scientific and Medical Colleges". Deanship of Scientific Research, King Saud University. Jesus Emmanuel Solis Perez acknowledges the support provided by CONACyT through the assignment doctoral fellowship. Jose Francisco Gomez Aguilar acknowledges the support provided by CONACyT: catedras CONACyT para jovenes investigadores 2014 and SNI-CONACyT. | en_US |
| dc.identifier.citation | Solis Perez, Jesus Emmanuel...et al. (2018). Chaotic Attractors with Fractional Conformable Derivatives in the Liouville-Caputo Sense and Its Dynamical Behaviors, Entropy, 20(5). | en_US |
| dc.identifier.doi | 10.3390/e20050384 | |
| dc.identifier.issn | 1099-4300 | |
| dc.identifier.scopus | 2-s2.0-85053711647 | |
| dc.identifier.uri | https://doi.org/10.3390/e20050384 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/11866 | |
| dc.language.iso | en | en_US |
| dc.publisher | Mdpi | en_US |
| dc.relation.ispartof | Entropy | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Fractional Calculus | en_US |
| dc.subject | Fractional Conformable Derivative | en_US |
| dc.subject | Fractional Beta-Conformable Derivative | en_US |
| dc.subject | Chaos | en_US |
| dc.subject | Adams-Moulton Scheme | en_US |
| dc.title | Chaotic Attractors With Fractional Conformable Derivatives in the Liouville-Caputo Sense and Its Dynamical Behaviors | en_US |
| dc.title | Chaotic Attractors with Fractional Conformable Derivatives in the Liouville-Caputo Sense and Its Dynamical Behaviors | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Gomez-Aguilar, J.F./0000-0001-9403-3767 | |
| gdc.author.id | Tchier, Fairouz/0000-0001-7855-508X | |
| gdc.author.id | Solis-Perez, Jesus Emmanuel/0000-0002-4729-9949 | |
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| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Gómez Aguilar, José/I-7027-2019 | |
| gdc.author.wosid | Solís-Pérez, Jesús Emmanuel/Abd-4028-2020 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Solis Perez, Jesus Emmanuel] Tecnol Nacl Mexico, CENIDET, Interior Internado Palmira S-N, Cuernavaca 62490, Morelos, Mexico; [Francisco Gomez-Aguilar, Jose] Tecnol Nacl Mexico, CENIDET, CONACyT, Interior Internado Palmira S-N, Cuernavaca 62490, Morelos, Mexico; [Baleanu, Dumitru] Cankaya Univ, Fac Art & Sci, Dept Math, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, MG 23, R-76900 Magurele, Romania; [Tchier, Fairouz] King Saud Univ, Dept Math, POB 2454, Riyadh 11451, Saudi Arabia | en_US |
| gdc.description.issue | 5 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.oaire.keywords | fractional calculus; fractional conformable derivative; fractional <i>β</i>-conformable derivative; chaos; Adams–Moulton scheme | |
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