The differential and integral fractional calculus and its applications

Over the last 20 years arbitrary order calculus (better known in the literature as fractional calculus) has been developed impressively. However, in Mexico there are no solid groups devoted to its study and applications. The objetive of this work is to present the origins and development of fraction...

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Autores: GuzmanCabrera, Rafael, Guía-Calderón, M., Rosales-García, J. J., González-Parada, A., Álvarez-Jaime, J. A.
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2015
País:México
Recursos:UNIVERSIDAD DE GUANAJUATO
Repositorio:Acta Universitaria
Idioma:español
OAI Identifier:oai:www.actauniversitaria.ugto.mx:article/688
Acesso em linha:https://www.actauniversitaria.ugto.mx/index.php/acta/article/view/688
Access Level:acceso abierto
Palavra-chave:Fractional differentias and integrals
fractional differential equations.
Derivadas e integrales fraccionarias
ecuaciones diferenciales fraccionarias.
matematicas
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dc.title.none.fl_str_mv The differential and integral fractional calculus and its applications
El cálculo diferencial e integral fraccionario y sus aplicaciones
title The differential and integral fractional calculus and its applications
spellingShingle The differential and integral fractional calculus and its applications
GuzmanCabrera, Rafael
Fractional differentias and integrals
fractional differential equations.
Derivadas e integrales fraccionarias
ecuaciones diferenciales fraccionarias.
matematicas
title_short The differential and integral fractional calculus and its applications
title_full The differential and integral fractional calculus and its applications
title_fullStr The differential and integral fractional calculus and its applications
title_full_unstemmed The differential and integral fractional calculus and its applications
title_sort The differential and integral fractional calculus and its applications
dc.creator.none.fl_str_mv GuzmanCabrera, Rafael
Guía-Calderón, M.
Rosales-García, J. J.
González-Parada, A.
Álvarez-Jaime, J. A.
author GuzmanCabrera, Rafael
author_facet GuzmanCabrera, Rafael
Guía-Calderón, M.
Rosales-García, J. J.
González-Parada, A.
Álvarez-Jaime, J. A.
author_role author
author2 Guía-Calderón, M.
Rosales-García, J. J.
González-Parada, A.
Álvarez-Jaime, J. A.
author2_role author
author
author
author
dc.subject.none.fl_str_mv Fractional differentias and integrals
fractional differential equations.
Derivadas e integrales fraccionarias
ecuaciones diferenciales fraccionarias.
matematicas
topic Fractional differentias and integrals
fractional differential equations.
Derivadas e integrales fraccionarias
ecuaciones diferenciales fraccionarias.
matematicas
description Over the last 20 years arbitrary order calculus (better known in the literature as fractional calculus) has been developed impressively. However, in Mexico there are no solid groups devoted to its study and applications. The objetive of this work is to present the origins and development of fractional calculus, in order to encourage future researchers to venture into this very interesting area of unconventional mathematical analysis. Finally, as an example, vertical motion of a particle within a medium where resistance is proportional to speed is analized.
publishDate 2015
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dc.publisher.none.fl_str_mv Universidad de Guanajuato
publisher.none.fl_str_mv Universidad de Guanajuato
dc.source.none.fl_str_mv Acta Universitaria; Vol. 25 Núm. 2 (2015); 20-27
Acta Universitaria; Vol. 25 No. 2 (2015); 20-27
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spelling The differential and integral fractional calculus and its applicationsEl cálculo diferencial e integral fraccionario y sus aplicacionesGuzmanCabrera, RafaelGuía-Calderón, M.Rosales-García, J. J.González-Parada, A.Álvarez-Jaime, J. A.Fractional differentias and integralsfractional differential equations.Derivadas e integrales fraccionariasecuaciones diferenciales fraccionarias.matematicasOver the last 20 years arbitrary order calculus (better known in the literature as fractional calculus) has been developed impressively. However, in Mexico there are no solid groups devoted to its study and applications. The objetive of this work is to present the origins and development of fractional calculus, in order to encourage future researchers to venture into this very interesting area of unconventional mathematical analysis. Finally, as an example, vertical motion of a particle within a medium where resistance is proportional to speed is analized.Durante los últimos 20 años, el cálculo de orden arbitrario (mejor conocido en la literatura como cálculo de orden fraccionario) se ha desarrollado de manera impresionante. Sin embargo, en México no hay grupos consolidados en el estudio y su aplicación. El objetivo de este trabajo es dar a conocer los orígenes y el desarrollo del cálculo fraccionario, con la finalidad de motivar a los futuros investigadores a incursionar en esta área tan interesante del análisis matemático no convencional.Finalmente, como ejemplo, se analiza el movimiento vertical de una partícula en el seno de un medio donde la resistencia es proporcional a la velocidad.Universidad de Guanajuato2015-05-15info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArtículo revisado por 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