Proceedings of the 2017 2nd International Conference on Modelling, Simulation and Applied Mathematics (MSAM2017)

Solution for a Space-time Fractional Diffusion Equation

Authors
Qiyu Liu, Longjin Lv
Corresponding Author
Qiyu Liu
Available Online March 2017.
DOI
https://doi.org/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.
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Proceedings
2017 2nd International Conference on Modelling, Simulation and Applied Mathematics (MSAM2017)
Part of series
Advances in Intelligent Systems Research
Publication Date
March 2017
ISBN
978-94-6252-324-1
ISSN
1951-6851
DOI
https://doi.org/10.2991/msam-17.2017.41How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

TY  - CONF
AU  - Qiyu Liu
AU  - Longjin Lv
PY  - 2017/03
DA  - 2017/03
TI  - Solution for a Space-time Fractional Diffusion Equation
BT  - 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  - https://doi.org/10.2991/msam-17.2017.41
ID  - Liu2017/03
ER  -