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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Detalles Bibliográficos
Autores: GuzmanCabrera, Rafael, Guía-Calderón, M., Rosales-García, J. J., González-Parada, A., Álvarez-Jaime, J. A.
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2015
País:México
Institución:UNIVERSIDAD DE GUANAJUATO
Repositorio:Acta Universitaria
Idioma:español
OAI Identifier:oai:www.actauniversitaria.ugto.mx:article/688
Acceso en línea:https://www.actauniversitaria.ugto.mx/index.php/acta/article/view/688
Access Level:acceso abierto
Palabra clave:Fractional differentias and integrals
fractional differential equations.
Derivadas e integrales fraccionarias
ecuaciones diferenciales fraccionarias.
matematicas
Descripción
Sumario: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.