On fractional Langevin equation involving two fractional orders in different intervals

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dc.contributor.affiliationUniversidade de Santiago de Compostela. Departamento de Estatística, Análise Matemática e Optimizacióngl
dc.contributor.affiliationUniversidade de Santiago de Compostela. Instituto de Matemáticas
dc.contributor.authorBaghani, Hamid
dc.contributor.authorNieto Roig, Juan José
dc.date.accessioned2020-03-31T10:20:10Z
dc.date.available2020-03-31T10:20:10Z
dc.date.issued2019
dc.description.abstractIn this paper, we study a nonlinear Langevin equation involving two fractional orders α ∈ (0; 1] and β ∈ (1; 2] with initial conditions. By means of an interesting fixed point theorem, we establish sufficient conditions for the existence and uniqueness of solutions for the fractional equations. Some illustrative numerical examples are also discussedgl
dc.description.peerreviewedSIgl
dc.identifier.citationBaghani H. and Nieto J. (2019) “On fractional Langevin equation involving two fractional orders in different intervals”, Nonlinear Analysis: Modelling and Control, 24(6), 884–897. doi: 10.15388/NA.2019.6.3gl
dc.identifier.doi10.15388/NA.2019.6.3
dc.identifier.essn2335-8963
dc.identifier.issn1392-5113
dc.identifier.urihttp://hdl.handle.net/10347/21023
dc.language.isoenggl
dc.publisherVilnius University Pressgl
dc.relation.publisherversionhttps://doi.org/10.15388/NA.2019.6.3gl
dc.rights© 2019 Authors. Published by Vilnius University Press. This is an Open Access article distributed under the terms of the Creative Commons Attribution Licence which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are creditedgl
dc.rights.accessRightsopen accessgl
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.subjectCaputo fractional derivativegl
dc.subjectInitial boundary conditionsgl
dc.subjectExistence and uniquenessgl
dc.subjectFractional Langevin equationgl
dc.titleOn fractional Langevin equation involving two fractional orders in different intervalsgl
dc.typejournal articlegl
dc.type.hasVersionVoRgl
dspace.entity.typePublication
relation.isAuthorOfPublication85e127ae-7ec7-48e4-bb4a-8eb83882ea26
relation.isAuthorOfPublication.latestForDiscovery85e127ae-7ec7-48e4-bb4a-8eb83882ea26

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