Bateman-Feshbach Tikochinsky and Caldirola-Kanai Oscillators With New Fractional Differentiation
| dc.contributor.author | Francisco Gomez-Aguilar, Jose | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Cordova-Fraga, Teodoro | |
| dc.contributor.author | Fabricio Escobar-Jimenez, Ricardo | |
| dc.contributor.author | Olivares-Peregrino, Victor H. | |
| dc.contributor.author | Al Qurashi, Maysaa Mohamed | |
| dc.contributor.author | Coronel-Escamilla, Antonio | |
| dc.date.accessioned | 2019-12-18T10:35:35Z | |
| dc.date.accessioned | 2025-09-18T16:07:21Z | |
| dc.date.available | 2019-12-18T10:35:35Z | |
| dc.date.available | 2025-09-18T16:07:21Z | |
| dc.date.issued | 2017 | |
| dc.description | Cordova-Fraga, Teodoro/0000-0002-6486-7530; Escobar Jimenez, Ricardo Fabricio/0000-0003-3367-6552; Gomez-Aguilar, J.F./0000-0001-9403-3767; Coronel-Escamilla, Antonio/0000-0003-3662-2939; Olivares Peregrino, Victor Hugo/0000-0002-5214-4984 | en_US |
| dc.description.abstract | In this work, the study of the fractional behavior of the Bateman-Feshbach-Tikochinsky and Caldirola-Kanai oscillators by using different fractional derivatives is presented. We obtained the Euler-Lagrange and the Hamiltonian formalisms in order to represent the dynamic models based on the Liouville-Caputo, Caputo-Fabrizio-Caputo and the new fractional derivative based on the Mittag-Leffler kernel with arbitrary order . Simulation results are presented in order to show the fractional behavior of the oscillators, and the classical behavior is recovered when is equal to 1. | en_US |
| dc.description.sponsorship | International Scientific Partnership Program (ISPP) at King Saud University [ISPP 63]; Consejo Nacional de Ciencia y Tecnologia (CONACyT); CONACyT: Catedras CONACyT para jovenes investigadores; Interreg [ISPP] Funding Source: Interreg | en_US |
| dc.description.sponsorship | The authors appreciate the constructive remarks and suggestions of the anonymous referees that helped to improve the paper. We would like to thank Mayra Martinez for the interesting discussions. The authors extend their appreciation to the International Scientific Partnership Program (ISPP) at King Saud University for funding this research work through ISPP 63. Antonio Coronel Escamilla acknowledges the support provided by Consejo Nacional de Ciencia y Tecnologia (CONACyT) through the assignment doctoral fellowship. Jose Francisco Gomez Aguilar acknowledges the support provided by CONACyT: Catedras CONACyT para jovenes investigadores 2014. | en_US |
| dc.identifier.citation | Coronel-Escamilla, Antonio...et al. (2017). Bateman-Feshbach Tikochinsky and Caldirola-Kanai Oscillators with New Fractional Differentiation, Entropy, 19(2). | en_US |
| dc.identifier.doi | 10.3390/e19020055 | |
| dc.identifier.issn | 1099-4300 | |
| dc.identifier.scopus | 2-s2.0-85012273679 | |
| dc.identifier.uri | https://doi.org/10.3390/e19020055 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/14743 | |
| 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 | Bateman-Feshbach Tikochinsky Oscillator | en_US |
| dc.subject | Caldirola-Kanai Oscillator | en_US |
| dc.subject | Fractional Operators | en_US |
| dc.subject | Mittag-Leffler Kernel | en_US |
| dc.title | Bateman-Feshbach Tikochinsky and Caldirola-Kanai Oscillators With New Fractional Differentiation | en_US |
| dc.title | Bateman-Feshbach Tikochinsky and Caldirola-Kanai Oscillators with New Fractional Differentiation | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Cordova-Fraga, Teodoro/0000-0002-6486-7530 | |
| gdc.author.id | Escobar Jimenez, Ricardo Fabricio/0000-0003-3367-6552 | |
| gdc.author.id | Gomez-Aguilar, J.F./0000-0001-9403-3767 | |
| gdc.author.id | Coronel-Escamilla, Antonio/0000-0003-3662-2939 | |
| gdc.author.id | Olivares Peregrino, Victor Hugo/0000-0002-5214-4984 | |
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| gdc.author.wosid | Escobar-Jiménez, Ricardo/X-1721-2019 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Gómez Aguilar, José/I-7027-2019 | |
| gdc.author.wosid | Cordova-Fraga, Teodoro/I-9356-2017 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Coronel-Escamilla, Antonio; Fabricio Escobar-Jimenez, Ricardo; Olivares-Peregrino, Victor H.] Tecnol Nacl Mexico, Ctr Nacl Invest & Desarrollo Tecnol, Cuernavaca 62490, Morelos, Mexico; [Francisco Gomez-Aguilar, Jose] Tecnol Nacl Mexico, CONACyT Ctr Nacl Invest & Desarrollo Tecnol, Cuernavaca 62490, Morelos, Mexico; [Baleanu, Dumitru] Cankaya Univ, Fac Art & Sci, Dept Math, TR-0630 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, 409 Atomistilor Str, Magurele 077125, Romania; [Cordova-Fraga, Teodoro] Univ Guanajuato, Dept Ingn Fis, Div Ciencias & Ingn, Campus Leon, Leon 37328, Mexico; [Al Qurashi, Maysaa Mohamed] King Saud Univ, Dept Math, Riyadh 11451, Saudi Arabia | en_US |
| gdc.description.issue | 2 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.volume | 19 | en_US |
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| gdc.oaire.keywords | Bateman–Feshbach Tikochinsky oscillator; Caldirola–Kanai oscillator; fractional operators; Mittag–Leffler kernel | |
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