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Introducción al cálculo fraccional y q-fraccional : con aplicaciones

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dc.contributor.authorCastillo Pérez, Jaime
dc.date.accessioned2023-07-27T20:51:45Z
dc.date.available2023-07-27T20:51:45Z
dc.date.issued2020
dc.description.abstractEste libro contiene elementos importantes tanto del cálculo fraccional como del q-fraccional. Está diseñado para profesionales en Matemáticas, Física y ciencias de Ingenierías que deseen tener una primera aproximación a estas teorías. Su contenido está distribuido de la siguiente manera: En el primer capítulo se presentan algunos elementos de cálculo fraccional, inicialmente se hace un recorrido sobre el desarrollo histórico del mismo, desde sus inicios hacia el siglo XVII hasta la fecha. Se presentan algunas definiciones y se muestran los operadores más usuales de dicho cálculo. En el segundo capítulo se presentan las funciones más usadas en el cálculo fraccional, entre las que se cuentan a la función gamma, función gamma incompleta, función beta, función hipergeométrica generalizada, función hipergeométrica de Fox-Wright, función H, funciones de Mittag-Leffler, función de Agarwal, función de Erd`elyi, función de Robotnov-Hartley, funciónde Miller-Ross, funciones generalizadas de seno y coseno, funciones de Bessel. Se muestran algunas aplicaciones del operador derivada fraccional de Riemann-Liouville a una variedad de funciones. En el tercer capítulo se presentan los operadores de integración fraccional establecidos por varios investigadores en este campo y se muestran algunas aplicaciones. Introducción al cálculo fraccional y q-fraccional2 En el cuarto capítulo se hace una breve reseña histórica del cálculo q-fraccional, se define la q-derivada, la q-integral y varios conceptos que soportan el desarrollo de este campo de la matemática. En el quinto capítulo se presentan las funciones usadas en el cálculo q-fraccional, las cuales se establecen como análogas básicas de las funciones factorial, gamma, beta, hipergeométrica, exponencial, Bessel, H, Wright. Se introduce un nuevo teorema donde se establece la convergencia absoluta para la análoga básica de la función hipergeométrica de Fox-Wright. En el sexto capítulo se presentan los operadores q-fraccionales con sus reglas de composición y ciertas aplicaciones a las q-funcionesspa
dc.format.extent79 páginasspa
dc.format.mimetypeapplication/pdfspa
dc.identifier.isbn9789585178199spa
dc.identifier.urihttps://repositoryinst.uniguajira.edu.co/handle/uniguajira/741
dc.language.isospaspa
dc.publisherUniversidad de La Guajiraspa
dc.publisher.placeUniversidad de La Guajiraspa
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dc.rightsCopyright - Universidad de La Guajira, 2020spa
dc.rights.accessrightsinfo:eu-repo/semantics/openAccessspa
dc.rights.creativecommonsAtribución-NoComercial 4.0 Internacional (CC BY-NC 4.0)spa
dc.subject.lembCálculo
dc.subject.lembFunciones
dc.subject.lembAnálisis funcional
dc.subject.lembTeoría de los operadores
dc.titleIntroducción al cálculo fraccional y q-fraccional : con aplicacionesspa
dc.typeLibrospa
dc.type.coarhttp://purl.org/coar/resource_type/c_2f33spa
dc.type.contentTextspa
dc.type.driverinfo:eu-repo/semantics/bookspa
dc.type.redcolhttps://purl.org/redcol/resource_type/LIBspa
dc.type.versioninfo:eu-repo/semantics/publishedVersionspa
dspace.entity.typePublication
oaire.accessrightshttp://purl.org/coar/access_right/c_abf2spa
oaire.versionhttp://purl.org/coar/version/c_970fb48d4fbd8a85spa

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