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Modeling the Fractional Non-Linear Schrodinger Equation Via Liouville-Caputo Fractional Derivative

dc.contributor.author Morales-Delgado, V. F.
dc.contributor.author Gomez-Aguilar, J. F.
dc.contributor.author Taneco-Hernandez, M. A.
dc.contributor.author Baleanu, Dumitru
dc.contributor.authorID 56389 tr_TR
dc.contributor.other 02.02. Matematik
dc.contributor.other 02. Fen-Edebiyat Fakültesi
dc.contributor.other 01. Çankaya Üniversitesi
dc.date.accessioned 2020-04-03T22:47:05Z
dc.date.accessioned 2025-09-18T16:07:43Z
dc.date.available 2020-04-03T22:47:05Z
dc.date.available 2025-09-18T16:07:43Z
dc.date.issued 2018
dc.description Taneco-Hernandez, Marco Antonio/0000-0001-6650-1105; Gomez-Aguilar, J.F./0000-0001-9403-3767 en_US
dc.description.abstract In this paper the modified homotopy analysis transform method is applied to obtain approximate analytical solutions of the time-fractional non-linear Schrodinger equation. The fractional derivative is described in the Liouville-Caputo sense. The solutions are obtained in the form of rapidly convergent infinite series with easily computable terms. New exact solutions are constructed under constraint conditions. Employing theoretical parameters, we present some numerical simulations. (C) 2018 Elsevier GmbH. All rights reserved. en_US
dc.description.sponsorship CONACyT: Catedras CONACyT para jovenes investigadores; SNI-CONACyT en_US
dc.description.sponsorship Jose Francisco Gomez Aguilar acknowledges the support provided by CONACyT: Catedras CONACyT para jovenes investigadores 2014. Jose Francisco Gomez Aguilar and Marco Antonio Taneco Hernandez acknowledges the support provided by SNI-CONACyT. en_US
dc.identifier.doi 10.1016/j.ijleo.2018.01.107
dc.identifier.issn 0030-4026
dc.identifier.scopus 2-s2.0-85042406510
dc.identifier.uri https://doi.org/10.1016/j.ijleo.2018.01.107
dc.identifier.uri https://hdl.handle.net/20.500.12416/14851
dc.language.iso en en_US
dc.publisher Elsevier Gmbh en_US
dc.rights info:eu-repo/semantics/closedAccess en_US
dc.subject Liouville-Caputo Derivative en_US
dc.subject Modified Homotopy Analysis Transform Method en_US
dc.subject Exact Solutions en_US
dc.subject Ultra-Short Optical Solitons en_US
dc.title Modeling the Fractional Non-Linear Schrodinger Equation Via Liouville-Caputo Fractional Derivative en_US
dc.title Modeling The Fractional Non-Linear Schrodinger Equation Via Liouville-Caputo Fractional Derivative tr_TR
dc.type Article en_US
dspace.entity.type Publication
gdc.author.id Taneco-Hernandez, Marco Antonio/0000-0001-6650-1105
gdc.author.id Gomez-Aguilar, J.F./0000-0001-9403-3767
gdc.author.institutional Baleanu, Dumitru
gdc.author.scopusid 57190015963
gdc.author.scopusid 55389111400
gdc.author.scopusid 55757276700
gdc.author.scopusid 7005872966
gdc.author.wosid Baleanu, Dumitru/B-9936-2012
gdc.author.wosid Taneco-Hernandez, Marco Antonio/O-4660-2018
gdc.author.wosid Gómez Aguilar, José/I-7027-2019
gdc.description.department Çankaya University en_US
gdc.description.departmenttemp [Morales-Delgado, V. F.; Taneco-Hernandez, M. A.] Univ Autonoma Guerrero, Fac Matemat, Av Lazaro Cardenas S-N,Cd Univ, Chilpancingo, Guerrero, Mexico; [Gomez-Aguilar, J. F.] CONACyT, Tecnol Nacl Mexico, CENIDET, Interior Internado Palmira S-N, Cuernavaca 62490, Morelos, Mexico; [Baleanu, Dumitru] Cankaya Univ, Fac Art & Sci, Dept Math, TR-0630 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, MG-23, R-76900 Magurele, Romania en_US
gdc.description.endpage 7 en_US
gdc.description.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
gdc.description.scopusquality Q1
gdc.description.startpage 1 en_US
gdc.description.volume 162 en_US
gdc.description.woscitationindex Science Citation Index Expanded
gdc.description.wosquality Q2
gdc.identifier.openalex W2791243809
gdc.identifier.wos WOS:000430753800001
gdc.openalex.fwci 2.45880607
gdc.openalex.normalizedpercentile 0.89
gdc.opencitations.count 26
gdc.plumx.crossrefcites 1
gdc.plumx.mendeley 4
gdc.plumx.scopuscites 25
gdc.scopus.citedcount 25
gdc.wos.citedcount 23
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