Title :
The time-space fractional diffusion equation with an absorption term
Author_Institution :
Dept. of Common Course Teaching, Shandong Univ. of Art & Design, Jinan, China
Abstract :
This paper investigates the time-space fractional diffusion equation with an absorption term. The Green´s function of the time-space fractional diffusion equation obtained by using Fourier transform, Laplace transform and there inverse transform. The analytical solution of the time-space fractional diffusion equation with an absorption term is obtained in terms of Green´s function.
Keywords :
Fourier transforms; Green´s function methods; Laplace transforms; absorption; inverse transforms; partial differential equations; Fourier transform; Green´s function; Laplace transform; absorption term; inverse transform; time-space fractional diffusion equation; Absorption; Digital TV; Educational institutions; Equations; Fourier transforms; Green´s function methods; Laplace equations; Fourier transform; Laplace transform; diffusion equation; fractional derivative;
Conference_Titel :
Control and Decision Conference (CCDC), 2012 24th Chinese
Conference_Location :
Taiyuan
Print_ISBN :
978-1-4577-2073-4
DOI :
10.1109/CCDC.2012.6244166
