Bateman-Feshbach Tikochinsky and Caldirola-Kanai Oscillators with New Fractional Differentiation
| dc.contributor.author | Coronel-Escamilla, Antonio | |
| 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.authorID | 56389 | tr_TR |
| dc.date.accessioned | 2019-12-18T10:35:35Z | |
| dc.date.available | 2019-12-18T10:35:35Z | |
| dc.date.issued | 2017 | |
| dc.department | Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik - Bilgisayar Bölümü | 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.publishedMonth | 2 | |
| 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 | 1.79769313486232E+308 | |
| dc.identifier.issn | 1099-4300 | |
| dc.identifier.issue | 2 | en_US |
| dc.identifier.uri | http://hdl.handle.net/20.500.12416/2169 | |
| dc.identifier.volume | 19 | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | MDPI | en_US |
| dc.relation.ispartof | Entropy | en_US |
| 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 | tr_TR |
| dc.title | Bateman-Feshbach Tikochinsky and Caldirola-Kanai Oscillators With New Fractional Differentiation | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication |