{"id":54776,"date":"2018-03-09T22:42:31","date_gmt":"2018-03-09T22:42:31","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/estudio-de-generalizaciones-fraccionarias-de-las-ecuaciones-estandar-de-difusion-y-de-ondas\/"},"modified":"2018-03-09T22:42:31","modified_gmt":"2018-03-09T22:42:31","slug":"estudio-de-generalizaciones-fraccionarias-de-las-ecuaciones-estandar-de-difusion-y-de-ondas","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/estudio-de-generalizaciones-fraccionarias-de-las-ecuaciones-estandar-de-difusion-y-de-ondas\/","title":{"rendered":"Estudio de generalizaciones fraccionarias de las ecuaciones est\u00e1ndar de difusi\u00f3n y de ondas"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Teresa Pierantozzi <\/strong><\/h2>\n<p>La teor\u00eda del c\u00e1lculo fraccionario, es decir, el estudio de las derivadas e integrales de orden real cualesquiera, ha sido la herramienta que ha permitido estudiar distintas generalizaciones de las ecuaciones cl\u00e1sicas de difusi\u00f3n y de ondas mediante ecuaciones que contuvieran derivadas de orden real, y que interpolaran de forma continua ambas ecuaciones, de tipo parab\u00f3lico e hiperb\u00f3lico respectivamente.     en primer lugar, se han considerado algunos aspectos de la bien conocida ecuaci\u00f3n de difusi\u00f3n fraccionaria obtenida sustituyendo en la ecuaci\u00f3n de difusi\u00f3n est\u00e1ndar la derivada primera con respecto del tiempo y\/o la derivada segunda con respecto del espacio, por una derivada fraccionaria de orden real.     sucesivamente se ha estudiado una generalizaci\u00f3n alternativa de las ecuaciones cl\u00e1sicas en cuesti\u00f3n, proporcionada por un sistema de ecuaciones de evoluci\u00f3n-difusi\u00f3n del tipo de dirac fraccionarias obtenido considerando un tipo de ra\u00edz cuadrada de la ecuaci\u00f3n de difusi\u00f3n fraccionaria, generalizando el m\u00e9todo cl\u00e1sico usado por dirac para obtener su famosa ecuaci\u00f3n para el electr\u00f3n libre a partir de la ecuaci\u00f3n de klein-gordon.     finalmente, se ha realizado un estudio num\u00e9rico de la ecuaci\u00f3n de seno-gordon fraccionaria, que es una particular ecuaci\u00f3n de klein-gordon no lineal y no local en la que la no linealidad es la funci\u00f3n seno y la no localidad esta definida por el operador de derivaci\u00f3n fraccionario de feller-riesz. Esta ecuaci\u00f3n puede considerarse como una generalizaci\u00f3n fraccionaria de un modelo de propagaci\u00f3n de ondas no lineal, que pasa de ser no local a ser local.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Estudio de generalizaciones fraccionarias de las ecuaciones est\u00e1ndar de difusi\u00f3n y de ondas<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Estudio de generalizaciones fraccionarias de las ecuaciones est\u00e1ndar de difusi\u00f3n y de ondas <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Teresa Pierantozzi <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Complutense de Madrid<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 28\/09\/2006<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<h3>Direcci\u00f3n y tribunal<\/h3>\n<ul>\n<li><strong>Director de la tesis<\/strong>\n<ul>\n<li>Luis V\u00e1zquez Mart\u00ednez<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: ildefonso D\u00edaz d\u00edaz <\/li>\n<li>rui Vilela mendes (vocal)<\/li>\n<li> Trujillo jacinto del castillo Juan (vocal)<\/li>\n<li>salvador Jim\u00e9nez burillo (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Teresa Pierantozzi La teor\u00eda del c\u00e1lculo fraccionario, es decir, el estudio de las derivadas e integrales de [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center 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