Fractional Lienard Type Model of a Pipeline Within the Fractional Derivative Without Singular Kernel
| dc.contributor.author | Torres, L. | |
| dc.contributor.author | Yepez-Martinez, H. | |
| dc.contributor.author | Baleanu, D. | |
| dc.contributor.author | Reyes, J. M. | |
| dc.contributor.author | Sosa, I. O. | |
| dc.contributor.author | Gomez-Aguilar, J. F. | |
| dc.date.accessioned | 2017-04-24T08:03:26Z | |
| dc.date.accessioned | 2025-09-18T13:28:07Z | |
| dc.date.available | 2017-04-24T08:03:26Z | |
| dc.date.available | 2025-09-18T13:28:07Z | |
| dc.date.issued | 2016 | |
| dc.description | Gomez-Aguilar, J.F./0000-0001-9403-3767; Yepez-Martinez, Huitzilin/0000-0002-8532-5669; Torres, Lizeth/0000-0002-4937-4586 | en_US |
| dc.description.abstract | This paper presents the procedure to obtain analytical solutions of Li,nard type model of a fluid transmission line represented by the Caputo-Fabrizio fractional operator. For such a model, we derive a new approximated analytical solution by using the Laplace homotopy analysis method. Both the efficiency and the accuracy of the method are verified by comparing the obtained solutions with the exact analytical solution. Good agreement between them is confirmed. | en_US |
| dc.description.sponsorship | CONACYT; CONACYT: catedras CONACYT para jovenes investigadores | 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. This work was supported by CONACYT. Jose Francisco Gomez-Aguilar, and Flor Lizeth Torres acknowledges the support provided by CONACYT: catedras CONACYT para jovenes investigadores 2014. | en_US |
| dc.identifier.citation | Gomez-Aguilar, J. F...et al. (2016). Fractional Lienard type model of a pipeline within the fractional derivative without singular kernel. Advance in Difference Equations. http://dx.doi.org/10.1186/s13662-016-0908-1 | en_US |
| dc.identifier.doi | 10.1186/s13662-016-0908-1 | |
| dc.identifier.issn | 1687-1847 | |
| dc.identifier.scopus | 2-s2.0-84977123717 | |
| dc.identifier.uri | https://doi.org/10.1186/s13662-016-0908-1 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/13150 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springeropen | en_US |
| dc.relation.ispartof | Advances in Difference Equations | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Pipelines | en_US |
| dc.subject | Fluid Dynamics | en_US |
| dc.subject | Nonlinear Oscillators | en_US |
| dc.subject | Lienard Equation | en_US |
| dc.subject | Laplace Homotopy Analysis Method | en_US |
| dc.subject | Fractional Differential Coupled Equation | en_US |
| dc.title | Fractional Lienard Type Model of a Pipeline Within the Fractional Derivative Without Singular Kernel | en_US |
| dc.title | Fractional Lienard type model of a pipeline within the fractional derivative without singular kernel | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Yepez-Martinez, Huitzilin/0000-0002-8532-5669 | |
| gdc.author.id | Torres, Lizeth/0000-0002-4937-4586 | |
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| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Torres, Lizeth/Aaf-3335-2019 | |
| gdc.author.wosid | Gómez Aguilar, José/I-7027-2019 | |
| gdc.author.wosid | Yepez-Martinez, Huitzilin/R-7698-2019 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Gomez-Aguilar, J. F.] Tecnol Nacl Mexico, CONACYT Ctr Nacl Invest & Desarrollo Tecnol, Interior Internado Palmira S-N, Cuernavaca 62490, Morelos, Mexico; [Torres, L.] Univ Nacl Autonoma Mexico, CONACYT Inst Ingn, Mexico City, DF, Mexico; [Yepez-Martinez, H.; Reyes, J. M.; Sosa, I. O.] Univ Autonoma Ciudad Mexico, Prolongac San Isidro 151, Mexico City 09790, DF, Mexico; [Baleanu, D.] Cankaya Univ, Fac Art & Sci, Dept Math & Comp Sci, TR-0630 Ankara, Turkey; [Baleanu, D.] Inst Space Sci, POB MG-23, Magurele 76900, Romania | en_US |
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