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Ecuaciones de evolución-difusión de tipo Dirac y su aplicación a vigas
(Universidad Autónoma de Guerrero (México), 2016-04)
The Fractional Calculus (CF) is as old as the classical calculation, however, is not as well known in the scientific community or the applied sciences. The beauty of this area is that the fractional derivatives and integrals ...
Ecuación diferencial del tipo Black-Scholes con derivada fraccionaria
(Universidad Autónoma de Guerrero (México), 2016-04)
In this work, we study a generalization of the Black-Scholes equation, which is widely used to determine the theoretical value for options, a financial derivative of great interest in the economic sphere. We change the ...
Ecuación de difusión anómala sobre una semirrecta
(Universidad Autónoma de Guerrero (México), 2016-04)
In this work, we consider an initial-boundary value problem for an anomalous diffusion equation on the half-line, where the differential operator is taken in the sense of Riemann-Liouville. Adapting the main ideas of the ...
Análisis Bayesiano en problemas inversos para ecuaciones diferenciales
(Universidad Autónoma de Guerrero (México), 2016-04)
One of the main aims of science is to try to describe and predict events that happen in the world, this is typically done through mathematical representations. For example, many of the laws of nature can be expressed as ...
Modelación empírica de crecimiento de tumores usando estadística bayesiana
(Universidad Autónoma de Guerrero (México), 2016-03)
Despite internal complexity, tumor growth kinetics follows simple laws that can be expressed as mathematical models. A general empirical model for these phenomena is the Generalized Two-parameter Model (GTM) which depends ...