Analytical Solutions of the Electrical Rlc Circuit Via Liouville-Caputo Operators With Local and Non-Local Kernels
| dc.contributor.author | Fabian Morales-Delgado, Victor | |
| dc.contributor.author | Antonio Taneco-Hernandez, Marco | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Fabricio Escobar-Jimenez, Ricardo | |
| dc.contributor.author | Mohamed Al Qurashi, Maysaa | |
| dc.contributor.author | Francisco Gomez-Aguilar, Jose | |
| dc.date.accessioned | 2017-04-24T08:50:46Z | |
| dc.date.accessioned | 2025-09-18T12:48:18Z | |
| dc.date.available | 2017-04-24T08:50:46Z | |
| dc.date.available | 2025-09-18T12:48:18Z | |
| dc.date.issued | 2016 | |
| dc.description | Taneco-Hernandez, Marco Antonio/0000-0001-6650-1105; Escobar Jimenez, Ricardo Fabricio/0000-0003-3367-6552; Gomez-Aguilar, J.F./0000-0001-9403-3767 | en_US |
| dc.description.abstract | In this work we obtain analytical solutions for the electrical RLC circuit model defined with Liouville-Caputo, Caputo-Fabrizio and the new fractional derivative based in the Mittag-Leffler function. Numerical simulations of alternative models are presented for evaluating the effectiveness of these representations. Different source terms are considered in the fractional differential equations. The classical behaviors are recovered when the fractional order a is equal to 1. | en_US |
| dc.description.sponsorship | CONACYT; "Research Center of the Center for Female Scientific and Medical Colleges", Deanship of Scientific Research, King Saud University; King Saud University | 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 to Mayra Martinez for the interesting discussions. Jose Francisco Gomez-Aguilar acknowledges the support provided by CONACYT: catedras CONACYT para jovenes investigadores 2014. The research is supported by a grant from the "Research Center of the Center for Female Scientific and Medical Colleges", Deanship of Scientific Research, King Saud University. The authors are also thankful to visiting professor program at King Saud University for support. | en_US |
| dc.identifier.citation | Gomez-Aguilar, J.F...et al. (2016). Analytical solutions of the electrical rlc circuit via liouville-caputo operators with local and non-local kernels. Entropy, 18(8). http://dx.doi.org/10.3390/e18080402 | en_US |
| dc.identifier.doi | 10.3390/e18080402 | |
| dc.identifier.issn | 1099-4300 | |
| dc.identifier.scopus | 2-s2.0-85015983431 | |
| dc.identifier.uri | https://doi.org/10.3390/e18080402 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/12041 | |
| 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-Order Circuits | en_US |
| dc.subject | Liouville-Caputo Fractional Operator | en_US |
| dc.subject | Caputo-Fabrizio Fractional Operator | en_US |
| dc.subject | Atangana-Baleanu Fractional Operator | en_US |
| dc.title | Analytical Solutions of the Electrical Rlc Circuit Via Liouville-Caputo Operators With Local and Non-Local Kernels | en_US |
| dc.title | Analytical solutions of the electrical rlc circuit via liouville-caputo operators with local and non-local kernels | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Taneco-Hernandez, Marco Antonio/0000-0001-6650-1105 | |
| gdc.author.id | Escobar Jimenez, Ricardo Fabricio/0000-0003-3367-6552 | |
| gdc.author.id | Gomez-Aguilar, J.F./0000-0001-9403-3767 | |
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| gdc.author.wosid | Taneco-Hernandez, Marco Antonio/O-4660-2018 | |
| gdc.author.wosid | Gómez Aguilar, José/I-7027-2019 | |
| gdc.author.wosid | Escobar-Jiménez, Ricardo/X-1721-2019 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Francisco Gomez-Aguilar, Jose] CONACYT Ctr Nacl Invest & Desarrollo Tecnol, Tecnol Nacl Mexico, Interior Internado Palmira S-N, Cuernavaca 62490, Morelos, Mexico; [Fabian Morales-Delgado, Victor; Antonio Taneco-Hernandez, Marco] Univ Autonoma Guerrero, Unidad Acad Matemat, Av Lazaro Cardenas S-N,Cd Univ, Chilpancingo 39087, Mexico; [Baleanu, Dumitru] Cankaya Univ, Fac Art & Sci, Dept Math & Comp Sci, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, POB MG 23, RO-76900 Magurele, Romania; [Fabricio Escobar-Jimenez, Ricardo] Ctr Nacl Invest & Desarrollo Tecnol, Tecnol Nacl Mexico, Interior Internado Palmira S-N, Cuernavaca 62490, Morelos, Mexico; [Mohamed Al Qurashi, Maysaa] King Saud Univ, Dept Math, Riyadh 12364, Saudi Arabia | en_US |
| gdc.description.issue | 8 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 402 | |
| gdc.description.volume | 18 | en_US |
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