Laplace Homotopy Analysis Method for Solving Linear Partial Differential Equations Using a Fractional Derivative With and Without Kernel Singular
| dc.contributor.author | Francisco Gomez-Aguilar, Jose | |
| dc.contributor.author | Yepez-Martinez, Huitzilin | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Fabricio Escobar-Jimenez, Ricardo | |
| dc.contributor.author | Hugo Olivares-Peregrino, Victor | |
| dc.contributor.author | Fabian Morales-Delgado, Victor | |
| dc.date.accessioned | 2018-09-25T07:56:31Z | |
| dc.date.accessioned | 2025-09-18T13:26:42Z | |
| dc.date.available | 2018-09-25T07:56:31Z | |
| dc.date.available | 2025-09-18T13:26:42Z | |
| dc.date.issued | 2016 | |
| dc.description | Yepez-Martinez, Huitzilin/0000-0002-8532-5669; Escobar Jimenez, Ricardo Fabricio/0000-0003-3367-6552; Gomez-Aguilar, J.F./0000-0001-9403-3767; Olivares Peregrino, Victor Hugo/0000-0002-5214-4984 | en_US |
| dc.description.abstract | In this work, we present an analysis based on a combination of the Laplace transform and homotopy methods in order to provide a new analytical approximated solutions of the fractional partial differential equations (FPDEs) in the Liouville-Caputo and Caputo-Fabrizio sense. So, a general scheme to find the approximated solutions of the FPDE is formulated. The effectiveness of this method is demonstrated by comparing exact solutions of the fractional equations proposed with the solutions here obtained. | en_US |
| dc.description.sponsorship | CONACYT-FOMIX, fortalecimiento de la maestria en matematicas aplicadas de la universidad autonoma de Guerrero; CONACYT: catedras CONACYT para jovenes investigadores | en_US |
| dc.description.sponsorship | We would like to thank to Mayra Martinez for the interesting discussions. Victor Fabian Morales Delgado acknowledges the support provided by CONACYT-FOMIX, fortalecimiento de la maestria en matematicas aplicadas de la universidad autonoma de Guerrero. Jose Francisco Gomez Aguilar acknowledges the support provided by CONACYT: catedras CONACYT para jovenes investigadores 2014. | en_US |
| dc.identifier.citation | Baleanu, D...[et.al.]. (2016). Laplace homotopy analysis method for solving linear partial differential equations using a fractional derivative with and without kernel singular. Advances In Difference Equations. http://dx.doi.org/10.1186/s13662-016-0891-6 | en_US |
| dc.identifier.doi | 10.1186/s13662-016-0891-6 | |
| dc.identifier.issn | 1687-1847 | |
| dc.identifier.scopus | 2-s2.0-84976516176 | |
| dc.identifier.uri | https://doi.org/10.1186/s13662-016-0891-6 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/12693 | |
| 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 | Fractional Calculus | en_US |
| dc.subject | Fractional Differential Equations | en_US |
| dc.subject | Caputo Fractional Operator | en_US |
| dc.subject | Caputo-Fabrizio Fractional Operator | en_US |
| dc.subject | Homotopy Analysis Method | en_US |
| dc.subject | Approximate Solution | en_US |
| dc.title | Laplace Homotopy Analysis Method for Solving Linear Partial Differential Equations Using a Fractional Derivative With and Without Kernel Singular | en_US |
| dc.title | Laplace homotopy analysis method for solving linear partial differential equations using a fractional derivative with and without kernel singular | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Yepez-Martinez, Huitzilin/0000-0002-8532-5669 | |
| 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 | Olivares Peregrino, Victor Hugo/0000-0002-5214-4984 | |
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| gdc.author.wosid | Yepez-Martinez, Huitzilin/R-7698-2019 | |
| gdc.author.wosid | Gómez Aguilar, José/I-7027-2019 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Escobar-Jiménez, Ricardo/X-1721-2019 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Fabian Morales-Delgado, Victor] Univ Autonoma Guerrero, Unidad Acad Matemat, Ave Lazaro Cardenas S-N, Chilpancingo, Guerrero, Mexico; [Francisco Gomez-Aguilar, Jose] Tecnol Nacl Mexico, CONACYT Ctr Nacl Invest & Desarrollo Tecnol, Interior Internado Palmira S-N, Cuernavaca 62490, Morelos, Mexico; [Yepez-Martinez, Huitzilin] Univ Autonoma Ciudad Mexico, Prolongac San Isidro 151, Mexico City 09790, DF, Mexico; [Baleanu, Dumitru] Cankaya Univ, Fac Art & Sci, Dept Math & Comp Sci, TR-0630 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, POB MG-23, Bucharest 76900, Romania; [Fabricio Escobar-Jimenez, Ricardo; Hugo Olivares-Peregrino, Victor] Tecnol Nacl Mexico, Ctr Nacl Invest & Desarrollo Tecnol, Interior Internado Palmira S-N, Cuernavaca 62490, Morelos, Mexico | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.oaire.keywords | Applied mathematics | |
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| gdc.oaire.keywords | Modeling and Simulation | |
| gdc.oaire.keywords | Physical Sciences | |
| gdc.oaire.keywords | Kernel (algebra) | |
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| gdc.oaire.keywords | homotopy analysis method | |
| gdc.oaire.keywords | fractional differential equations | |
| gdc.oaire.keywords | Caputo fractional operator | |
| gdc.oaire.keywords | Fractional partial differential equations | |
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