Solution for a Space-time Fractional Diffusion Equation

DOI

10.2991/msam-17.2017.41How to use a DOI?

Keywords

anomalous diffusion; fractional diffusion; green function; fox function

Abstract

This work focuses on investigating the solutions for a generalized fractional diffusion equation. This equation presents space and time fractional derivatives, includes an absorbent term and a linear external force, takes a time-dependent diffusion coefficient into account, and subjects to the natural boundaries and the general initial condition. We obtain explicit analytical expressions in terms of the Fox H functions for the probability distribution. In addition, we analyze the first passage time and the second movement distribution for the case characterized by the absence of absorbent term and external force for a semi-infinite interval with absorbing boundary condition.

Copyright

© 2017, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Qiyu Liu
AU  - Longjin Lv
PY  - 2017/03
DA  - 2017/03
TI  - Solution for a Space-time Fractional Diffusion Equation
BT  - Proceedings of the 2017 2nd International Conference on Modelling, Simulation and Applied Mathematics (MSAM2017)
PB  - Atlantis Press
SP  - 180
EP  - 184
SN  - 1951-6851
UR  - https://doi.org/10.2991/msam-17.2017.41
DO  - 10.2991/msam-17.2017.41
ID  - Liu2017/03
ER  -