Fractional Diffusion Models for the Atmosphere of Mars

The dust aerosols floating in the atmosphere of Mars cause an attenuation of the solar radiation traversing the atmosphere that cannot be modeled through the use of classical diffusion processes. However, the definition of a type of fractional diffusion equation offers a more accurate model for this...

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Detalles Bibliográficos
Autores: Jiménez, Salvador, Usero Mainer, David, Vázquez, Luis, Velasco, Maria
Tipo de recurso: artículo
Fecha de publicación:2017
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/19216
Acceso en línea:https://hdl.handle.net/20.500.14352/19216
Access Level:acceso abierto
Palabra clave:fractional calculus
Mittag-Leffler type functions
fractional ordinary and partial differential equations
dust
solar radiation
Astrofísica
Física-Modelos matemáticos
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spelling Fractional Diffusion Models for the Atmosphere of MarsJiménez, SalvadorUsero Mainer, DavidVázquez, LuisVelasco, Mariafractional calculusMittag-Leffler type functionsfractional ordinary and partial differential equationsdustsolar radiationAstrofísicaFísica-Modelos matemáticosThe dust aerosols floating in the atmosphere of Mars cause an attenuation of the solar radiation traversing the atmosphere that cannot be modeled through the use of classical diffusion processes. However, the definition of a type of fractional diffusion equation offers a more accurate model for this dynamic and the second order moment of this equation allows one to establish a connection between the fractional equation and the Ångstrom law that models the attenuation of the solar radiation. In this work we consider both one and three dimensional wavelength-fractional diffusion equations, and we obtain the analytical solutions and numerical methods using two different approaches of the fractional derivative.MDPIUniversidad Complutense de Madrid20172017-12-2820172017-12-28journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/20.500.14352/19216reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Atribución 3.0 Españahttps://creativecommons.org/licenses/by/3.0/es/info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/192162026-06-02T12:44:21Z
dc.title.none.fl_str_mv Fractional Diffusion Models for the Atmosphere of Mars
title Fractional Diffusion Models for the Atmosphere of Mars
spellingShingle Fractional Diffusion Models for the Atmosphere of Mars
Jiménez, Salvador
fractional calculus
Mittag-Leffler type functions
fractional ordinary and partial differential equations
dust
solar radiation
Astrofísica
Física-Modelos matemáticos
title_short Fractional Diffusion Models for the Atmosphere of Mars
title_full Fractional Diffusion Models for the Atmosphere of Mars
title_fullStr Fractional Diffusion Models for the Atmosphere of Mars
title_full_unstemmed Fractional Diffusion Models for the Atmosphere of Mars
title_sort Fractional Diffusion Models for the Atmosphere of Mars
dc.creator.none.fl_str_mv Jiménez, Salvador
Usero Mainer, David
Vázquez, Luis
Velasco, Maria
author Jiménez, Salvador
author_facet Jiménez, Salvador
Usero Mainer, David
Vázquez, Luis
Velasco, Maria
author_role author
author2 Usero Mainer, David
Vázquez, Luis
Velasco, Maria
author2_role author
author
author
dc.contributor.none.fl_str_mv Universidad Complutense de Madrid
dc.subject.none.fl_str_mv fractional calculus
Mittag-Leffler type functions
fractional ordinary and partial differential equations
dust
solar radiation
Astrofísica
Física-Modelos matemáticos
topic fractional calculus
Mittag-Leffler type functions
fractional ordinary and partial differential equations
dust
solar radiation
Astrofísica
Física-Modelos matemáticos
description The dust aerosols floating in the atmosphere of Mars cause an attenuation of the solar radiation traversing the atmosphere that cannot be modeled through the use of classical diffusion processes. However, the definition of a type of fractional diffusion equation offers a more accurate model for this dynamic and the second order moment of this equation allows one to establish a connection between the fractional equation and the Ångstrom law that models the attenuation of the solar radiation. In this work we consider both one and three dimensional wavelength-fractional diffusion equations, and we obtain the analytical solutions and numerical methods using two different approaches of the fractional derivative.
publishDate 2017
dc.date.none.fl_str_mv 2017
2017-12-28
2017
2017-12-28
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/20.500.14352/19216
url https://hdl.handle.net/20.500.14352/19216
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Atribución 3.0 España
https://creativecommons.org/licenses/by/3.0/es/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Atribución 3.0 España
https://creativecommons.org/licenses/by/3.0/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv MDPI
publisher.none.fl_str_mv MDPI
dc.source.none.fl_str_mv reponame:Docta Complutense
instname:Universidad Complutense de Madrid (UCM)
instname_str Universidad Complutense de Madrid (UCM)
reponame_str Docta Complutense
collection Docta Complutense
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15.300719

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