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Bateman-Feshbach Tikochinsky and Caldirola-Kanai Oscillators with New Fractional Differentiation

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dc.authoridCordova-Fraga, Teodoro/0000-0002-6486-7530
dc.authoridEscobar Jimenez, Ricardo Fabricio/0000-0003-3367-6552
dc.authoridGomez-Aguilar, J.F./0000-0001-9403-3767
dc.authoridCoronel-Escamilla, Antonio/0000-0003-3662-2939
dc.authoridOlivares Peregrino, Victor Hugo/0000-0002-5214-4984
dc.authorscopusid57119950300
dc.authorscopusid55389111400
dc.authorscopusid7005872966
dc.authorscopusid6506905989
dc.authorscopusid56962755800
dc.authorscopusid54982760600
dc.authorscopusid54982760600
dc.authorwosidEscobar-Jiménez, Ricardo/X-1721-2019
dc.authorwosidBaleanu, Dumitru/B-9936-2012
dc.authorwosidGómez Aguilar, José/I-7027-2019
dc.authorwosidCordova-Fraga, Teodoro/I-9356-2017
dc.contributor.authorCoronel-Escamilla, Antonio
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorFrancisco Gomez-Aguilar, Jose
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorCordova-Fraga, Teodoro
dc.contributor.authorFabricio Escobar-Jimenez, Ricardo
dc.contributor.authorOlivares-Peregrino, Victor H.
dc.contributor.authorAl Qurashi, Maysaa Mohamed
dc.contributor.authorID56389tr_TR
dc.date.accessioned2019-12-18T10:35:35Z
dc.date.available2019-12-18T10:35:35Z
dc.date.issued2017
dc.departmentÇankaya Universityen_US
dc.department-temp[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 Arabiaen_US
dc.descriptionCordova-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/0000-0002-5214-4984en_US
dc.description.abstractIn 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.publishedMonth2
dc.description.sponsorshipInternational 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: Interregen_US
dc.description.sponsorshipThe 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.description.woscitationindexScience Citation Index Expanded
dc.identifier.citationCoronel-Escamilla, Antonio...et al. (2017). Bateman-Feshbach Tikochinsky and Caldirola-Kanai Oscillators with New Fractional Differentiation, Entropy, 19(2).en_US
dc.identifier.doi10.3390/e19020055
dc.identifier.issn1099-4300
dc.identifier.issue2en_US
dc.identifier.scopus2-s2.0-85012273679
dc.identifier.scopusqualityQ2
dc.identifier.urihttps://doi.org/10.3390/e19020055
dc.identifier.volume19en_US
dc.identifier.wosWOS:000395442900010
dc.identifier.wosqualityQ2
dc.language.isoenen_US
dc.publisherMdpien_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectBateman-Feshbach Tikochinsky Oscillatoren_US
dc.subjectCaldirola-Kanai Oscillatoren_US
dc.subjectFractional Operatorsen_US
dc.subjectMittag-Leffler Kernelen_US
dc.titleBateman-Feshbach Tikochinsky and Caldirola-Kanai Oscillators with New Fractional Differentiationtr_TR
dc.titleBateman-Feshbach Tikochinsky and Caldirola-Kanai Oscillators With New Fractional Differentiationen_US
dc.typeArticleen_US
dspace.entity.typePublication
relation.isAuthorOfPublicationf4fffe56-21da-4879-94f9-c55e12e4ff62
relation.isAuthorOfPublication.latestForDiscoveryf4fffe56-21da-4879-94f9-c55e12e4ff62

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