Display Abstract
Title Applications of the fractional Sturm--Liouville problem to the space-- and time--fractional diffusion equation
Name Tatiana T Odzijewicz
Country Portugal
Email tatianao@ua.pt
Co-Author(s) Malgorzata Klimek, Agnieszka B. Malinowska
Submit Time 2014-02-14 11:48:25
Session
Special Session 20: Dynamics with fractional and time scale derivatives
Contents
We study space-- and time--fractional diffusion equations. Our approach strongly depends on the fractional Sturm--Liouville theory, precisely on the problem of finding eigenvalues and corresponding eigenfunctions to the certain fractional differential equation. Using the method of separating variables and applying theorem ensuring existence of solutions to the fractional Sturm--Liouville problem we solve several types of fractional duffusion equations.
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